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台灣社會變遷20年
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grandf
t
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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
0.92842066
0
58
3364
1
1958
7
402
2
0
0
0
1
1
0
0
0
9
6
6
12
12
3
4
4
0
0
0
1
0
1
0
0
0
0
1
0
35000
10.463103
55000
10.915089
1
5
2
0
0
0
3
2
2
1
1
2
-1
2
1
3
2
-1
-1
2
-1
1
1
-1
2
3
0
3
2
8
1
3
2015
0
4
1
0.92842066
0
28
784
4
1988
13
402
1
0
0
0
1
1
0
0
0
16
14
6
12
12
4
3
4
0
0
0
1
1
0
0
0
0
0
0
1
0
25000
10.126631
0
3
2
0
0
0
2
1
4
1
0
3
3
4
1
1
2
-1
-1
2
-1
-1
-1
1
2
3
0
2
3
9996
0
0
2015
0
4
1
0.92842066
0
33
1089
3
1983
12
500
1
0
0
1
0
0
0
0
0
16
14
16
16
4
2
3
0
1
1
0
1
0
0
0
1
0
0
0
0
45000
10.714417
1
3
2
0
0
0
7
1
2.5
0
0
4
1
2
2
1
4
-3
-3
2
-1
-3
-3
-3
3
3
0
4
2
9996
0
0
2015
1
4
1
0.92842066
1
28
784
4
1988
13
510
1
0
0
0
1
1
0
0
0
16
16
9
12
16
4
2
4
0
0
1
1
0
0
0
0
0
0
0
0
25000
10.126631
750000
13.527828
0
1
2
0
0
0
3
1
2
1
1
3
-1
2
1
2
2
-1
-1
2
1
-1
-1
1
1
3
-1
3
3
2
1
2
2015
0
4
1
0.92842066
0
68
4624
0
1948
5
510
2
0
0
0
1
0
1
0
0
9
0
16
16
1
2
4
0
0
0
0
0
0
0
1
0
0
0
0
25000
10.126631
25000
10.126631
0
6
2
0
0
0
3
1
0
1
0
2
1
2
1
4
4
3
3
4
3
3
3
-3
3
3
0
1
2
9
1
1
2015
0
4
1
0.92842066
0
66
4356
0
1950
5
401
1
0
0
0
1
1
0
0
0
6
0
2
12
12
1
4
4
0
0
0
1
0
1
1
0
1
0
0
0
0
45000
10.714417
0
3
2
0
0
0
2
10
0
0
0
2
3
3
-1
1
1
1
1
3
3
3
1
-3
3
3
0
3
4
9996
0
0
2015
1
4
1
0.92842066
0
24
576
4
1992
14
402
1
0
0
1
0
0
0
0
0
12
14
12
12
1
4
3
0
0
0
0
0
0
0
0
0
0
0
0
25000
10.126631
95000
11.461632
0
3
2
0
0
0
2
0.5
3
0
0
4
1
2
1
2
1
3
1
1
1
3
3
-1
3
3
1
4
2
8
1
1
2015
0
4
1
0.92842066
1
58
3364
1
1958
7
400
1
0
0
0
1
0
1
0
0
15
9
12
12
4
3
4
0
0
0
0
0
0
0
0
0
0
0
0
75000
11.225244
75000
11.225244
0
4
2
0
0
0
7
2
0.5
1
1
2
-1
2
1
2
2
-1
-1
2
-1
-1
-1
-1
3
3
1
4
3
3
0
0
2015
0
4
1
0.90028656
0
64
4096
0
1952
6
406
1
0
0
0
1
1
0
0
0
9
6
0
12
12
1
4
4
0
0
0
1
0
1
1
0
1
0
0
0
55000
10.915089
125000
11.736069
0
4
2
0
0
0
3
1
0
0
0
3
1
2
1
2
2
-1
1
2
-1
-1
-1
1
3
3
0
3
3
10
1
4
2015
1
4
1
0.90028656
0
42
1764
2
1974
10
406
1
0
0
0
1
1
0
0
0
12
14
6
14
14
4
3
4
0
0
0
1
0
1
0
0
0
0
1
0
35000
10.463103
45000
10.714417
0
4
2
0
0
0
3
0.33333334
0.5
1
0
3
1
3
1
3
3
1
1
3
1
1
-1
1
1
3
1
3
3
9
1
3
2015
0
4
1
0.90028656
1
55
3025
1
1961
8
406
1
0
0
0
1
1
0
0
0
9
12
0
16
16
4
4
4
0
1
1
1
0
1
0
0
1
0
0
0
0
55000
10.915089
0
2
2
0
0
0
3
2
0
0
0
3
1
2
1
3
3
1
1
3
1
1
1
-1
1
3
0
3
2
9996
0
0
2015
1
4
1
0.90028656
0
30
900
3
1986
13
406
4
0
0
1
0
0
0
0
0
12
0
16
16
3
1
1
0
0
1
0
0
0
0
0
0
0
1
0
5000
8.5171928
0
1
3
2
0
0
0
7
0
0.5
1
0
3
-1
2
2
4
2
-1
1
3
1
1
1
1
1
3
1
3
2
3
1
1
2015
0
4
1
0.90028656
0
32
1024
3
1984
12
234
1
0
0
1
0
0
0
0
0
16
16
16
16
4
3
4
0
0
1
0
0
0
0
0
0
0
1
0
65000
11.082143
350000
12.765689
0
2
2
0
0
0
7
2
3.5
1
1
2
-1
2
1
2
2
3
1
2
1
1
-1
1
3
2
0
2
2
2
1
3
2015
0
4
1
0.90028656
0
55
3025
1
1961
8
406
1
0
0
0
1
0
1
0
0
9
6
16
12
3
2
4
0
0
0
0
1
0
0
0
0
0
0
0
5000
8.5171928
15000
9.6158056
0
2
2
0
0
0
3
2
0
1
0
1
3
1
-2
2
2
3
-1
2
-1
-1
1
1
2
3
1
4
4
8
1
1
2015
0
4
1
0.90028656
0
61
3721
0
1955
6
406
1
0
0
0
1
0
1
0
0
14
6
14
14
1
4
0
0
0
0
0
0
0
1
0
0
0
0
5000
8.5171928
5000
8.5171928
0
1
2
0
0
0
3
2
0
0
0
3
3
2
-1
1
2
3
-1
1
-1
-1
-1
-1
3
3
1
3
2
10
1
3
2015
0
4
1
0.90028656
1
47
2209
2
1969
9
401
1
0
0
0
1
1
0
0
0
12
12
12
16
16
4
3
3
0
0
1
1
0
1
0
0
1
0
0
0
25000
10.126631
55000
10.915089
0
2
2
0
0
0
3
2
2
1
0
3
1
3
1
3
2
1
1
2
1
-1
-1
1
1
1
0
2
3
3
1
1
2015
1
4
1
0.90028656
1
54
2916
1
1962
8
544
2
0
0
0
1
1
0
0
0
9
12
6
16
16
3
3
1
0
0
1
1
1
1
0
0
1
0
0
0
45000
10.714417
125000
11.736069
0
3
2
0
0
0
3
0
1
1
0
3
1
2
2
2
2
1
1
2
1
1
1
-1
1
3
0
3
2
3
1
1
2015
1
4
1
0.90028656
0
69
4761
0
1947
5
406
1
0
0
0
1
1
0
0
0
6
0
0
16
16
1
3
3
0
0
0
1
0
1
1
0
1
0
0
0
5000
8.5171928
45000
10.714417
0
3
2
0
0
0
3
0.5
0
1
0
3
-1
2
1
3
3
1
1
3
1
-1
1
3
3
0
3
2
10
1
3
2015
1
4
1
0.90028656
0
29
841
4
1987
13
406
4
0
0
1
0
0
0
0
0
16
0
16
16
3
0
0
1
0
0
0
0
0
0
0
1
0
25000
10.126631
0
0
2
2
0
0
0
0
2
1
1
0
2
1
2
1
1
1
-1
-1
1
-1
-3
-3
-3
2
3
0
4
2
1
2
2015
0
4
1
0.90028656
1
66
4356
0
1950
5
500
1
0
0
0
1
1
0
0
0
21
18
0
16
16
4
3
4
0
0
0
1
0
1
0
0
0
0
1
0
115000
11.652687
0
0
6
2
0
0
0
6
1
1.5
1
0
3
1
3
1
2
2
1
1
2
1
1
1
-1
2
2
0
1
1
1
2
2015
0
4
1
0.90028656
0
25
625
4
1991
14
406
1
0
0
1
0
0
0
0
0
12
12
12
12
4
3
1
0
1
1
0
1
0
0
0
1
0
0
0
25000
10.126631
0
0
3
2
0
0
0
0
0.5
2
0
0
4
-1
3
1
3
2
3
1
2
1
1
3
-1
2
1
-1
1
3
9
1
1
2015
1
4
1
0.90028656
0
65
4225
0
1951
6
406
1
0
0
0
1
1
0
0
0
6
9
6
16
16
3
3
0
0
0
1
0
1
0
0
0
0
1
0
25000
10.126631
0
0
1
2
0
0
0
3
2
0
1
1
3
1
3
3
1
1
3
1
1
1
3
3
0
3
10
1
4
2015
0
4
1
0.90028656
0
40
1600
2
1976
11
509
1
0
0
0
1
1
0
0
0
14
12
6
14
14
4
3
4
0
0
1
1
0
0
0
0
0
0
0
0
65000
11.082143
95000
11.461632
0
3
2
0
0
0
3
1
0.5
1
1
3
-1
3
-1
3
1
1
-1
-1
1
-1
2
2
-1
2
3
3
1
1
2015
0
4
1
0.90028656
1
53
2809
1
1963
8
401
1
0
0
0
1
0
1
0
0
12
6
16
16
4
3
3
0
0
0
0
0
1
0
0
0
0
0
0
25000
10.126631
55000
10.915089
0
2
2
0
0
0
3
2
2
1
1
2
1
2
1
2
3
3
3
2
1
-1
-1
1
1
3
0
3
3
3
1
1
2015
0
4
1
0.90028656
0
37
1369
3
1979
11
106
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
45000
10.714417
55000
10.915089
0
4
2
0
0
0
3
1
4
1
1
4
-1
2
1
2
2
3
1
3
1
-1
-1
-1
1
1
0
2
3
2
1
2
2015
0
4
1
0.90028656
1
60
3600
0
1956
7
655
1
0
0
0
1
1
0
0
0
12
12
0
16
16
3
3
4
0
0
0
1
0
1
1
0
1
0
0
0
0
45000
10.714417
1
3
2
0
0
0
3
3
0
0
0
2
1
2
1
2
2
3
3
1
3
3
3
1
3
3
0
3
3
9996
0
0
2015
1
4
1
0.90028656
0
46
2116
2
1970
9
555
1
0
0
0
1
1
0
0
0
12
16
6
14
14
4
3
3
0
0
0
1
0
1
0
0
0
0
1
0
25000
10.126631
65000
11.082143
1
2
2
0
0
0
3
0.16666667
0
0
0
3
1
3
1
1
2
1
-1
2
-1
-1
-1
1
3
3
1
4
2
2
1
2
2015
0
4
1
0.90028656
0
33
1089
3
1983
12
235
1
0
0
0
1
1
0
0
0
14
14
6
12
12
3
4
4
0
0
0
1
0
1
0
0
0
0
1
0
45000
10.714417
45000
10.714417
0
6
2
0
0
0
0
0.5
2
1
0
2
-1
2
1
2
3
1
1
3
1
-1
1
1
3
0
7
1
1
2015
0
4
1
0.90028656
1
45
2025
2
1971
10
112
3
0
0
0
1
1
0
0
0
12
16
9
16
16
4
3
4
0
0
0
1
0
1
0
0
0
0
1
0
25000
10.126631
105000
11.561716
0
2
2
0
0
0
3
1
1
1
1
4
-1
3
1
2
2
3
3
3
1
1
-1
-1
2
1
0
1
1
3
1
1
2015
0
4
1
0.90028656
1
24
576
4
1992
14
117
1
0
0
1
0
0
0
0
0
18
16
16
16
4
4
4
0
1
1
0
1
0
0
0
1
0
0
0
5000
8.5171928
155000
11.95118
0
4
2
0
1
0
0
0
6
1
0
3
1
2
1
2
2
1
-3
1
-3
-3
1
1
2
2
0
3
3
2
1
2
2015
1
4
1
0.90028656
0
59
3481
1
1957
7
653
1
0
0
0
1
1
0
0
0
12
12
2
16
16
1
3
3
0
0
0
1
0
1
0
0
0
0
1
0
25000
10.126631
45000
10.714417
0
3
2
0
0
0
3
3
0
1
0
2
1
2
1
2
2
1
1
3
1
1
1
-1
1
3
0
2
2
9
1
1
2015
0
4
1
0.90028656
0
47
2209
2
1969
9
649
1
0
0
0
1
1
0
0
0
16
18
6
12
12
1
3
4
0
0
0
1
0
0
0
0
0
0
0
1
0
250000
12.429216
0
2
2
0
0
0
3
2
1
1
0
3
-1
2
1
3
3
3
-1
2
-1
-1
-1
-3
3
2
1
1
4
9996
0
0
2015
0
4
1
0.90028656
0
63
3969
0
1953
6
611
1
0
0
0
1
1
0
0
0
12
16
6
16
16
4
3
4
0
0
0
1
0
1
0
0
0
0
1
0
195000
12.180755
350000
12.765689
0
4
2
0
0
0
3
1
0
1
1
3
1
2
1
2
2
-1
-1
2
-1
-1
-1
-1
3
2
0
3
2
2
1
4
2015
0
4
1
0.90028656
0
62
3844
0
1954
6
427
1
0
0
0
1
1
0
0
0
12
9
0
16
16
3
4
4
0
0
0
1
0
1
0
0
0
0
1
0
35000
10.463103
0
1
3
2
0
0
0
0
2
0
0
0
2
1
2
1
2
3
-1
1
1
-1
-1
-1
3
3
1
4
2
9
1
1
2015
0
4
1
0.90028656
0
54
2916
1
1962
8
9998
1
0
0
0
1
1
0
0
0
16
12
6
12
12
3
4
4
0
0
1
1
0
1
0
0
1
0
0
0
45000
10.714417
75000
11.225244
1
3
2
0
0
0
1
2
0.5
0
0
2
1
2
1
2
2
1
1
2
1
-1
1
-1
3
3
0
1
2
2
1
2
2015
1
4
1
0.90028656
0
44
1936
2
1972
10
407
1
0
0
0
1
1
0
0
0
12
14
6
18
18
4
2
1
0
0
0
1
0
1
0
0
0
0
1
0
155000
11.95118
250000
12.429216
0
4
2
0
0
0
3
2
1
1
1
2
3
2
1
2
4
3
3
4
3
-3
3
-3
3
0
0
1
3
2
1
2
2015
0
4
1
0.90028656
0
41
1681
2
1975
10
423
2
0
0
1
0
0
0
0
0
16
12
12
12
4
3
4
0
0
1
0
0
0
0
0
0
0
1
0
0
25000
10.126631
0
2
2
0
0
0
0
2.5
2
0
0
2
1
2
-1
3
3
-1
1
2
1
-1
1
-3
2
2
0
2
2
9996
0
0
2015
0
4
1
0.90028656
1
34
1156
3
1982
12
500
1
0
0
1
0
0
0
0
0
16
12
16
16
4
4
4
0
0
0
0
1
0
0
0
0
0
0
0
35000
10.463103
65000
11.082143
0
3
2
0
0
0
0
3
7
1
1
3
1
3
2
2
3
1
1
3
1
1
1
1
2
3
0
3
3
2
1
2
2015
0
4
1
0.92842066
0
81
6561
0
1935
3
406
2
0
0
0
1
1
0
0
0
6
9
6
12
16
4
0
0
0
1
0
0
0
0
0
0
0
1
5000
8.5171928
0
1
3
2
0
0
0
3
3
0
1
1
3
1
1
2
2
1
1
3
1
1
1
1
3
0
4
2
9
0
0
2015
0
4
1
0.92842066
0
24
576
4
1992
14
407
1
0
0
1
0
0
0
0
0
16
9
6
6
4
3
4
0
0
1
0
1
0
0
0
0
0
1
0
0
155000
11.95118
0
4
2
0
0
0
3
8
8
1
0
1
1
3
1
2
3
-1
2
-1
-1
1
-1
2
3
0
2
4
9996
0
0
2015
0
4
1
0.92842066
1
48
2304
2
1968
9
700
3
0
0
0
1
1
0
0
0
18
18
6
16
16
4
4
4
0
0
0
1
0
1
0
0
0
0
1
0
55000
10.915089
95000
11.461632
0
2
2
0
0
0
3
2.5
6
1
1
3
-1
3
1
3
1
1
2
-1
-1
1
1
3
2
0
2
2
3
1
1
2015
0
4
1
0.92842066
1
64
4096
0
1952
6
542
1
0
0
0
1
1
0
0
0
6
6
2
16
12
1
3
0
0
0
1
0
1
1
0
1
0
0
0
0
0
0
4
2
0
0
0
3
2
0
1
1
3
1
3
1
3
2
1
1
2
1
1
3
0
2
3
9996
0
0
2015
1
4
1
0.92842066
1
84
7056
0
1932
2
420
1
0
0
0
1
0
0
0
1
9
18
6
18
18
1
3
1
0
0
0
0
0
1
1
0
1
0
0
0
15000
9.6158056
25000
10.126631
1
1
2
0
0
0
1
3.5
0
1
1
3
1
1
3
3
1
1
3
1
1
3
0
3
0
0
2015
1
4
1
0.92842066
0
53
2809
1
1963
8
407
1
0
0
0
1
1
0
0
0
14
14
6
16
16
1
4
3
0
0
1
1
0
0
0
0
0
0
0
0
75000
11.225244
155000
11.95118
1
4
2
0
0
0
0
2
1
1
1
1
1
2
1
2
2
3
-1
2
-1
-1
-1
-1
3
3
0
3
2
2
1
2
2015
0
4
1
0.92842066
1
53
2809
1
1963
8
406
1
0
0
0
1
1
0
0
0
18
18
16
16
16
4
3
4
0
0
0
1
0
0
0
0
0
0
0
1
75000
11.225244
1050000
13.864301
0
3
2
0
0
0
1
2
1
1
1
3
-3
2
2
2
2
-1
-1
2
-1
-1
-1
1
3
2
0
2
2
2
0
0
2015
0
4
1
0.92842066
1
70
4900
0
1946
5
551
1
0
0
0
1
1
0
0
0
9
14
0
16
16
4
3
3
0
0
0
1
0
0
1
0
0
1
0
0
0
55000
10.915089
1
1
2
0
0
0
3
3.5
0
1
0
3
1
3
1
2
2
1
1
2
1
-1
-1
-1
3
3
1
4
2
9996
0
0
2015
1
4
1
0.92842066
1
39
1521
3
1977
11
545
3
0
0
1
0
0
0
0
0
14
0
12
12
4
3
4
0
0
0
0
0
1
0
0
0
0
0
0
35000
10.463103
35000
10.463103
0
5
2
0
0
0
0
0
7.5
1
1
3
3
2
1
2
2
1
1
3
1
1
1
1
3
3
0
3
2
1
2
2015
0
4
1
0.92842066
0
79
6241
0
1937
3
10
3
0
0
0
1
1
0
0
0
12
15
16
12
12
3
0
0
0
1
0
0
0
0
0
0
0
1
55000
10.915089
135000
11.81303
0
1
2
0
0
0
0
1.5
0
1
1
4
-1
3
1
3
3
-1
1
2
1
-1
1
-1
3
2
0
2
2
2
0
0
2015
0
4
1
0.92842066
1
65
4225
0
1951
6
433
1
0
0
0
1
0
0
0
1
6
6
6
16
16
4
3
0
0
0
0
0
1
1
0
1
0
0
0
5000
8.5171928
0
0
4
2
0
0
0
3
3.5
5.5
1
0
2
1
3
1
2
-1
1
2
1
-1
1
1
1
3
0
3
3
8
1
3
2015
1
4
1
0.92842066
1
63
3969
0
1953
6
407
1
0
0
0
1
1
0
0
0
6
9
2
16
16
3
3
4
0
0
0
1
0
1
1
0
1
0
0
0
0
0
0
4
2
0
0
0
3
2.5
0
1
1
4
3
2
1
2
2
3
1
2
1
1
1
1
1
3
0
3
9996
0
0
2015
1
4
1
0.92842066
1
48
2304
2
1968
9
974
1
0
0
0
1
1
0
0
0
12
14
6
16
16
4
1
3
0
0
0
1
0
1
0
0
0
0
1
0
0
75000
11.225244
0
3
2
0
0
0
7
2
1.5
1
0
4
3
3
-1
2
2
-1
1
3
1
-1
1
-1
3
3
0
3
3
9996
0
0
2015
0
4
1
0.92842066
1
61
3721
0
1955
6
412
1
0
0
0
1
1
0
0
0
12
12
0
14
14
1
4
4
0
0
0
1
0
1
0
0
0
0
1
0
25000
10.126631
75000
11.225244
1
4
2
0
0
0
3
1.5
0
0
0
3
1
3
2
2
2
3
1
1
1
-1
-1
-3
3
3
0
2
1
3
1
1
2015
0
4
1
0.92842066
1
36
1296
3
1980
11
556
1
0
0
1
0
0
0
0
0
12
6
12
12
3
3
4
0
0
0
0
0
0
0
1
0
0
0
0
75000
11.225244
75000
11.225244
0
4
2
0
0
0
3
1
5
1
1
3
-1
2
-1
2
1
1
1
1
-1
-1
1
3
3
0
3
3
2
1
2
2015
0
4
1
0.92842066
1
49
2401
2
1967
9
638
1
0
0
0
1
0
0
1
0
18
18
12
12
12
4
3
4
0
0
0
0
0
1
0
0
0
0
0
0
75000
11.225244
75000
11.225244
0
6
2
0
0
0
0
0.5
0.5
1
1
2
1
2
1
2
2
3
-1
1
-3
-3
-3
-1
3
2
0
1
2
2
1
2
2015
0
4
1
0.92842066
1
27
729
4
1989
13
523
1
0
0
0
1
0
0
1
0
14
14
0
16
16
4
4
4
0
0
1
0
0
1
0
0
1
0
0
0
45000
10.714417
95000
11.461632
0
4
2
0
0
0
0
1
1.5
1
0
2
1
3
1
3
3
1
-1
3
1
1
1
1
1
3
0
3
3
8
1
1
2015
1
4
1
0.92842066
1
55
3025
1
1961
8
709
1
0
0
0
1
0
0
1
0
12
14
6
16
16
1
4
4
0
0
0
0
0
1
0
0
0
0
0
0
25000
10.126631
25000
10.126631
0
4
2
0
0
0
2
1
0.5
1
0
2
1
2
-1
2
2
1
1
1
-1
-1
1
-3
3
2
0
2
2
2
1
2
2015
0
4
1
0.92842066
1
20
400
4
1996
15
399
1
0
0
1
0
0
0
0
0
16
16
12
12
4
3
4
0
0
1
0
1
0
0
0
0
0
1
0
0
95000
11.461632
1
4
2
0
0
1
1
0
3
1
0
2
1
2
1
2
2
-1
-1
1
-1
-1
-1
1
2
3
0
3
2
9996
0
0
2015
0
4
1
0.92842066
1
22
484
4
1994
14
407
1
0
0
1
0
0
0
0
0
16
9
16
16
3
4
4
0
0
1
0
1
0
0
0
0
0
1
0
0
105000
11.561716
0
3
2
0
0
0
0
3
5
0
0
2
-3
3
2
2
1
-1
2
-1
3
3
0
3
9996
0
0
2015
0
4
1
0.92842066
0
56
3136
1
1960
7
407
1
0
0
0
1
1
0
0
0
16
14
16
16
16
4
3
3
0
0
0
1
0
1
0
0
0
0
1
0
65000
11.082143
105000
11.561716
0
3
2
0
0
0
3
1
1
1
1
2
-1
2
1
2
2
-1
1
2
-1
-1
-1
-1
3
2
0
2
3
2
1
3
2015
0
4
1
0.92842066
1
52
2704
1
1964
8
542
1
0
0
0
1
1
0
0
0
14
16
15
16
16
4
3
4
0
0
0
1
0
1
0
0
0
0
1
0
5000
8.5171928
35000
10.463103
0
2
2
0
0
0
1
2.5
2.5
1
1
3
1
2
1
3
2
1
1
3
1
1
1
1
3
2
0
3
3
2
1
2
2015
0
4
1
0.92842066
0
27
729
4
1989
13
411
1
0
0
1
0
0
0
0
0
12
6
16
16
4
4
3
0
0
1
0
1
0
0
0
0
0
1
0
45000
10.714417
85000
11.350407
1
4
2
0
0
0
1
0.16666667
3.5
0
0
2
3
4
-1
3
3
3
1
1
1
1
1
-3
3
3
0
4
1
9
1
1
2015
0
4
1
0.92842066
1
63
3969
0
1953
6
407
1
0
0
0
1
0
0
0
1
12
6
0
16
16
4
2
4
0
0
0
0
0
1
1
0
1
0
0
0
15000
9.6158056
0
0
3
2
0
0
0
2
0.5
1
1
1
2
1
2
1
3
2
1
-1
3
-1
-1
1
3
2
0
2
9
1
3
2015
1
4
1
0.92842066
0
42
1764
2
1974
10
357
1
0
0
0
1
1
0
0
0
14
12
6
16
16
4
4
4
0
0
0
1
0
1
0
0
0
0
1
0
65000
11.082143
85000
11.350407
1
4
2
0
0
0
0
1
1.5
0
0
2
2
1
3
2
1
-1
2
-1
-1
-1
-1
3
2
0
3
2
3
1
1
2015
0
4
1
0.92842066
0
55
3025
1
1961
8
201
1
0
0
0
1
1
0
0
0
21
14
12
16
16
4
4
0
0
0
1
0
1
0
0
0
0
1
0
105000
11.561716
115000
11.652687
0
6
2
0
0
0
0
0.5
2
1
1
2
2
1
2
2
1
1
2
-1
-1
1
-1
2
3
1
4
2
1
1
2
2015
0
4
1
1.0928726
0
72
5184
0
1944
4
412
1
0
0
0
1
1
0
0
0
9
6
0
16
16
1
1
4
0
0
0
1
0
1
1
0
1
0
0
0
5000
8.5171928
0
1
4
2
0
0
0
3
0.83333331
0
1
0
3
1
2
1
2
2
1
-1
2
1
-1
1
-1
3
3
0
8
0
0
2015
1
4
1
1.0928726
1
89
7921
0
1927
1
411
1
0
0
0
1
0
0
0
0
0
0
0
1
3
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
2
0
0
0
3
1
0
0
0
3
1
-1
3
0
9996
0
0
2015
0
4
1
1.0928726
1
63
3969
0
1953
6
520
1
0
0
1
0
0
0
0
0
15
9
16
16
4
2
4
0
0
0
0
1
0
0
0
0
0
0
0
0
45000
10.714417
0
2
2
0
0
0
1
3
1
1
1
3
3
1
2
1
1
3
3
1
-3
-3
-3
-3
3
3
1
4
3
9996
0
0
2015
0
4
1
1.0928726
1
57
3249
1
1959
7
400
1
0
0
0
1
1
0
0
0
12
16
6
16
16
4
3
4
0
0
1
1
0
1
0
0
1
0
0
0
25000
10.126631
85000
11.350407
1
4
2
0
0
0
3
2
0.5
1
1
4
1
2
1
3
2
1
-1
2
-1
-1
-1
-1
3
2
1
3
2
3
1
1
2015
1
4
1
1.0928726
0
86
7396
0
1930
1
414
1
0
0
0
1
0
0
0
1
6
6
0
16
16
1
2
2
0
0
0
0
0
1
1
0
1
0
0
0
0
0
1
3
2
0
0
0
3
0
0
1
0
3
1
2
2
1
1
1
3
3
1
3
2
9996
0
0
2015
1
4
1
1.0928726
1
26
676
4
1990
13
412
1
0
0
1
0
0
0
0
0
16
6
16
16
4
4
4
0
0
1
0
1
0
0
0
0
0
1
0
25000
10.126631
35000
10.463103
0
3
2
0
0
0
3
2
1
0
0
2
3
2
1
1
1
3
-3
1
1
1
-1
-1
3
3
0
3
3
3
1
1
2015
0
4
1
1.0928726
0
49
2401
2
1967
9
412
1
0
0
0
1
1
0
0
0
14
14
6
16
16
3
1
4
0
0
0
1
0
1
0
0
0
0
1
0
55000
10.915089
85000
11.350407
0
4
2
0
0
0
3
0.83333331
0.5
1
1
2
3
2
1
2
2
-1
3
2
1
1
1
-3
3
2
0
2
3
3
1
1
2015
0
4
1
1.0928726
1
31
961
3
1985
12
822
1
0
0
1
0
0
0
0
0
12
9
12
12
4
4
0
0
1
0
1
1
0
0
1
0
0
0
0
0
0
4
2
0
0
0
0
4
2
0
0
4
3
2
2
4
3
1
1
3
1
-3
-1
-1
3
3
0
3
2
9996
0
0
2015
1
4
1
1.0928726
1
47
2209
2
1969
9
434
1
0
0
0
1
1
0
0
0
9
12
6
16
16
4
3
4
0
0
0
1
0
1
0
0
0
0
1
0
35000
10.463103
165000
12.0137
0
3
2
0
0
0
3
1.5
0
0
0
3
-1
3
1
1
2
3
3
2
1
-1
1
-1
3
1
0
1
2
3
1
1
2015
0
4
1
1.0928726
1
62
3844
0
1954
6
545
1
0
0
0
1
0
0
0
1
9
9
6
16
16
1
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
45000
10.714417
1
4
2
0
0
0
1
5
1
1
1
3
1
2
1
2
2
3
1
2
1
3
1
-1
3
2
0
3
3
9996
0
0
2015
0
4
1
1.0928726
1
44
1936
2
1972
10
500
1
0
0
0
1
0
0
0
1
12
12
6
16
16
3
3
4
0
0
1
0
0
1
0
0
1
0
0
0
55000
10.915089
75000
11.225244
0
4
2
0
0
0
1
1
2
1
1
2
1
2
1
2
2
1
3
2
1
1
1
1
1
3
0
2
3
2
1
2
2015
1
4
1
1.0928726
1
74
5476
0
1942
4
428
1
0
0
0
1
1
0
0
0
9
12
6
18
18
1
3
3
0
0
0
1
0
0
0
0
0
0
0
1
0
45000
10.714417
0
4
2
0
0
0
3
6
0
1
1
3
1
2
2
2
3
1
1
3
1
1
1
-1
3
3
0
3
2
9996
0
0
2015
0
4
1
1.0928726
0
66
4356
0
1950
5
117
3
0
0
0
1
1
0
0
0
12
12
12
16
16
4
4
4
0
0
0
1
0
1
0
0
0
0
1
0
0
55000
10.915089
0
6
2
0
0
0
3
3
8
1
1
1
3
3
1
4
1
-3
1
-3
-3
-3
-3
2
3
0
3
4
9996
0
0
2015
0
4
1
1.0928726
1
47
2209
2
1969
9
362
2
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
55000
10.915089
250000
12.429216
0
3
2
0
0
0
3
3
3
1
1
3
1
1
1
1
1
3
3
1
-1
-3
3
-3
3
3
0
2
2
2
1
2
2015
0
4
1
1.0928726
1
53
2809
1
1963
8
428
1
0
0
0
1
1
0
0
0
12
12
2
12
12
1
3
3
0
0
1
1
0
1
0
0
1
0
0
0
0
55000
10.915089
0
3
2
0
0
0
3
3
2
1
1
3
1
3
2
3
3
-1
3
3
1
3
3
-1
3
2
0
3
3
9996
0
0
2015
1
4
1
1.0928726
0
25
625
4
1991
14
412
1
0
0
1
0
0
0
0
0
12
12
12
12
4
3
4
0
0
1
0
1
0
0
0
0
0
1
0
45000
10.714417
105000
11.561716
0
5
2
0
0
0
3
0.25
4
1
0
2
-1
2
1
2
1
1
-1
2
1
1
-1
1
2
3
0
3
4
2
1
2
2015
0
4
1
1.0928726
0
59
3481
1
1957
7
412
1
0
0
0
1
1
0
0
0
9
12
2
12
12
1
3
3
0
0
1
1
0
1
0
0
1
0
0
0
0
65000
11.082143
0
4
2
0
0
0
0
4
0
0
0
2
3
3
1
2
1
1
-1
2
-1
-1
-1
-1
3
3
0
2
3
9
0
0
2015
1
4
1
1.0928726
0
45
2025
2
1971
10
413
1
0
0
0
1
1
0
0
0
14
14
6
16
16
4
3
4
0
0
0
1
0
1
0
0
0
0
1
0
45000
10.714417
65000
11.082143
0
2
2
0
0
0
3
2
2
1
1
1
3
1
-1
3
2
1
-1
3
-1
-1
-1
1
3
3
0
2
2
2
1
2
2015
0
4
1
1.0928726
0
28
784
4
1988
13
412
1
0
0
1
0
0
0
0
0
16
9
16
16
4
3
4
0
0
1
0
1
0
0
0
0
0
1
0
35000
10.463103
1050000
13.864301
1
3
2
0
0
0
3
0.83333331
4
1
1
4
3
3
1
2
2
1
-1
2
-1
-1
-1
-1
3
3
0
4
3
8
1
1
2015
0
4
1
1.0928726
1
49
2401
2
1967
9
420
1
0
0
0
1
1
0
0
0
14
16
6
16
16
3
3
3
0
0
1
1
0
1
0
0
1
0
0
0
25000
10.126631
75000
11.225244
1
5
2
0
0
0
1
1
0.83333331
1
1
2
-1
2
2
2
2
-1
-1
2
1
-1
-1
1
3
3
0
2
2
9
1
1
2015
1
4
1
1.0928726
0
41
1681
2
1975
10
545
1
0
0
0
1
1
0
0
0
12
16
12
16
16
1
3
4
0
0
0
1
1
1
0
0
0
0
1
0
65000
11.082143
175000
12.072541
0
5
2
0
0
0
3
1
1
1
1
4
3
2
1
2
2
3
3
4
3
3
3
-1
1
1
-1
2
2
1
1
2
2015
0
4
1
1.0928726
0
45
2025
2
1971
10
500
1
0
0
0
1
1
0
0
0
14
12
12
16
16
3
1
4
0
0
0
1
0
1
0
0
0
0
1
0
45000
10.714417
45000
10.714417
1
4
2
0
0
0
3
2
1
0
0
1
1
3
-1
2
1
-1
1
2
1
1
-1
-1
3
3
1
3
3
8
1
1
2015
0
4
1
1.0928726
1
38
1444
3
1978
11
510
1
0
0
1
0
0
0
0
0
18
12
16
16
3
4
0
0
1
0
1
0
0
0
0
0
1
0
15000
9.6158056
155000
11.95118
1
3
2
0
0
0
3
5
8
1
0
3
-1
2
1
2
2
-1
-1
2
-1
-1
-1
-1
3
3
0
3
2
2
1
2
2015
0
4
1
1.0928726
0
71
5041
0
1945
4
946
4
0
0
0
1
1
0
0
0
6
2
0
16
16
4
2
0
0
0
1
0
0
0
0
0
0
0
1
15000
9.6158056
35000
10.463103
0
4
2
0
0
0
3
0
0
0
0
3
1
2
3
3
-1
3
3
0
9
0
0
2015
0
4
1
1.0928726
0
73
5329
0
1943
4
428
1
0
0
0
1
1
0
0
0
9
9
12
16
16
1
2
4
0
0
0
1
0
1
1
0
1
0
0
0
0
35000
10.463103
0
3
2
0
0
0
3
1
0
0
0
4
1
1
2
3
-1
1
2
1
1
-1
1
2
-1
2
9996
0
0
2015
1
4
1
1.0928726
1
25
625
4
1991
14
412
1
0
0
1
0
0
0
0
0
16
12
16
16
4
2
4
0
0
1
0
1
0
0
0
0
0
1
0
0
85000
11.350407
0
3
2
0
0
0
3
2
7
1
0
2
1
2
1
3
3
-1
-1
2
-1
-1
-1
-1
2
3
0
3
3
9996
0
0
2015
0
4
1
1.0928726
0
26
676
4
1990
13
412
1
0
0
1
0
0
0
0
0
16
9
12
12
3
4
4
0
0
1
0
1
0
0
0
0
0
1
0
0
250000
12.429216
1
3
2
0
0
0
3
0.5
1
1
1
3
1
1
-1
2
1
-1
-3
1
-3
-3
-1
-3
3
3
1
3
3
9996
0
0
2015
0
4
1
1.0928726
1
77
5929
0
1939
3
509
1
0
0
0
1
1
0
0
0
2
2
0
16
16
1
1
4
0
0
0
1
0
1
1
0
1
0
0
0
0
0
0
2
2
0
0
0
3
3
0
0
0
3
1
1
3
0
9996
0
0
2015
1
4
1
1.0928726
1
21
441
4
1995
14
412
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
45000
10.714417
1
4
2
0
0
0
7
2.5
6
0
0
2
-1
2
1
2
2
-1
-1
2
-1
-1
-1
-1
2
3
0
2
2
9996
0
0
2015
0
4
1
1.0928726
0
48
2304
2
1968
9
428
3
0
0
0
1
1
0
0
0
18
12
16
16
16
4
4
0
0
1
1
0
1
0
0
1
0
0
0
85000
11.350407
95000
11.461632
0
6
2
0
0
0
7
3
2.5
1
1
3
1
2
1
3
2
3
1
1
-1
-1
1
-1
3
1
0
1
3
2
1
2
2015
1
4
1
1.0928726
1
64
4096
0
1952
6
556
1
0
0
0
1
0
1
0
0
9
0
14
12
3
3
3
0
0
0
0
0
0
0
0
0
0
0
0
0
55000
10.915089
0
4
2
0
0
0
3
2
0
1
1
4
3
2
1
3
2
1
1
3
1
-1
-1
-1
3
3
1
3
2
9996
0
0
2015
0
4
1
1.0928726
1
24
576
4
1992
14
412
1
0
0
1
0
0
0
0
0
18
9
16
16
4
4
4
0
0
1
0
0
0
0
0
0
0
1
0
0
65000
11.082143
0
4
2
0
0
0
0
0.16666667
3
0
0
2
1
2
1
2
2
-1
1
2
-1
-1
-1
-1
3
3
1
3
3
9996
0
0
2015
0
4
1
1.2548741
0
27
729
4
1989
13
413
1
0
0
1
0
0
0
0
0
16
12
12
12
1
4
4
0
1
1
0
1
0
0
0
1
0
0
0
35000
10.463103
95000
11.461632
0
3
2
0
0
0
2
1
2
1
1
3
-1
1
1
3
2
-1
-1
1
-1
-1
-1
-1
3
1
0
2
2
1
2
2015
1
4
1
1.2548741
0
45
2025
2
1971
10
413
1
0
0
1
0
0
0
0
0
14
12
16
16
4
4
4
0
0
1
0
0
0
0
0
0
0
1
0
55000
10.915089
105000
11.561716
0
3
2
0
0
0
3
6
3
1
1
4
1
1
1
3
1
1
-3
1
-3
-3
1
-3
3
2
0
2
2
2
1
2
2015
0
4
1
1.2548741
0
71
5041
0
1945
4
436
1
0
0
0
1
1
0
0
0
6
12
6
16
16
4
3
2
0
0
0
1
0
0
0
0
0
0
0
1
15000
9.6158056
35000
10.463103
0
1
2
0
0
0
1
0.16666667
0
1
1
2
1
2
1
3
2
1
1
3
1
-1
-1
1
3
3
0
3
2
9
1
1
2015
0
4
1
1.2548741
0
47
2209
2
1969
9
413
1
0
0
1
0
0
0
0
0
12
6
12
12
3
3
4
0
0
1
0
1
0
0
0
0
0
1
0
25000
10.126631
350000
12.765689
0
5
2
0
0
0
3
2.5
3
0
0
2
1
2
-1
2
2
-1
1
3
1
1
-1
-1
3
2
0
3
3
3
1
1
2015
0
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