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2.53
3_Logarithms\3.3Logarithmfunctions
Table 55: Breakdown of results for each integral
2017.3
2016.2
2015.2
18.02
17.02
16.02
14.0
12.0
#
grade
cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
siz
1
C
0.09
200
C
0.09
200
C
0.08
200
C
0.08
200
C
0.09
200
C
0.09
200
C
0.07
200
C
0.11
200
2
A
0.02
21
A
0.02
21
A
0.02
21
A
0.02
21
A
0.02
21
A
0.02
21
A
0.01
21
A
0.08
21
3
C
0.06
517
C
0.09
517
C
0.07
517
C
0.06
517
C
0.07
517
C
0.08
517
C
0.04
517
C
0.06
517
4
C
0.12
1725
C
0.14
1725
C
0.12
1725
C
0.1
1725
C
0.12
1725
C
0.12
1725
C
0.1
1725
C
0.16
1725
5
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
6
A
0.01
19
A
0.01
19
A
0.
19
A
0.01
19
A
0.
19
A
0.
19
A
0.
19
A
0.02
19
7
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
8
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
9
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
10
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
11
A
0.01
52
A
0.01
52
A
0.
52
A
0.
52
A
0.
52
A
0.
52
A
0.
52
A
0.
52
12
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
13
A
0.01
26
A
0.01
26
A
0.
26
A
0.
26
A
0.
26
A
0.
26
A
0.
26
A
0.
26
14
A
0.
24
A
0.01
24
A
0.
24
A
0.
24
A
0.
24
A
0.
24
A
0.
24
A
0.
24
15
A
0.01
26
A
0.01
26
A
0.
26
A
0.
26
A
0.
26
A
0.
26
A
0.
26
A
0.
26
16
A
0.
9
A
0.01
9
A
0.
9
A
0.
9
A
0.
9
A
0.
9
A
0.
9
A
0.
9
17
A
0.
36
A
0.01
36
A
0.
36
A
0.
36
A
0.
36
A
0.
36
A
0.
36
A
0.
36
18
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
19
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
20
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
21
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
22
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
23
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
24
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
25
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
26
A
0.
15
A
0.01
15
A
0.
15
A
0.
15
A
0.
15
A
0.
15
A
0.
15
A
0.
15
27
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
28
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
29
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
30
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
31
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
32
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
33
A
0.
54
A
0.
54
A
0.
54
A
0.
54
A
0.
54
A
0.
54
A
0.
54
A
0.02
54
34
C
0.08
137
C
0.07
137
C
0.06
133
C
0.06
133
C
0.07
133
C
0.08
133
C
0.05
133
C
0.06
133
35
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
36
C
0.01
20
C
0.01
20
C
0.01
20
C
0.
20
C
0.
20
C
0.
20
C
0.
20
C
0.
20
37
C
0.01
24
C
0.01
24
C
0.01
24
C
0.01
24
C
0.01
24
C
0.
24
C
0.
24
C
0.02
24
38
C
0.1
332
C
0.09
332
C
0.09
332
C
0.07
332
F
0
0
F
0
0
F
0
0
F
0
0
39
C
0.09
555
C
0.1
555
C
0.09
555
C
0.08
555
F
0
0
F
0
0
F
0
0
F
0
0
40
A
0.
19
A
0.01
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
41
C
0.18
241
C
0.15
241
C
0.13
241
C
0.12
241
F
0
0
F
0
0
F
0
0
F
0
0
42
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
43
C
0.14
232
C
0.12
232
C
0.09
232
C
0.08
256
F
0
0
F
0
0
F
0
0
F
0
0
44
C
0.08
173
C
0.09
173
C
0.08
183
C
0.07
183
C
0.09
183
C
0.1
183
C
0.06
183
C
0.08
183
45
C
0.09
198
C
0.09
198
C
0.09
207
C
0.07
207
C
0.09
207
C
0.1
207
C
0.06
207
C
0.09
207
46
C
0.11
183
C
0.12
183
C
0.09
183
C
0.08
183
C
0.09
183
C
0.1
183
C
0.06
183
C
0.08
183
47
C
0.06
196
C
0.08
196
C
0.07
208
C
0.05
208
C
0.06
208
C
0.07
208
C
0.04
208
C
0.08
208
48
C
0.06
194
C
0.08
194
C
0.06
202
C
0.05
202
C
0.06
202
C
0.07
202
C
0.04
202
C
0.06
202
49
A
0.01
50
A
0.01
50
A
0.
50
A
0.
50
A
0.
50
A
0.
50
A
0.
50
A
0.
50
50
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
51
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
52
A
0.01
30
A
0.01
30
A
0.01
30
A
0.
30
A
0.
30
A
0.01
30
A
0.
30
A
0.
30
53
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
54
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
55
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
56
A
0.04
83
A
0.04
83
A
0.03
83
A
0.03
83
A
0.03
83
A
0.03
83
A
0.02
83
A
0.12
83
57
C
0.17
242
C
0.14
242
C
0.12
242
C
0.1
260
F
0
0
F
0
0
F
0
0
F
0
0
58
C
0.16
582
C
0.16
582
C
0.15
762
C
0.13
762
C
0.16
762
C
0.18
762
C
0.12
762
C
0.2
762
59
A
0.01
38
A
0.01
38
A
0.01
38
A
0.
38
A
0.
38
A
0.01
38
A
0.
38
A
0.02
38
60
C
0.05
114
C
0.04
114
C
0.02
114
C
0.02
114
C
0.03
114
C
0.03
114
C
0.02
114
C
0.03
114
61
C
0.02
65
C
0.02
65
C
0.02
65
C
0.01
65
C
0.01
65
C
0.01
65
C
0.01
65
C
0.02
65
62
C
0.09
919
C
0.11
919
C
0.1
919
C
0.08
993
F
0
0
F
0
0
F
0
0
F
0
0
63
C
0.1
850
C
0.1
850
C
0.09
850
C
0.1
936
F
0
0
F
0
0
F
0
0
F
0
0
64
C
0.1
624
C
0.11
624
C
0.1
624
C
0.08
683
F
0
0
F
0
0
F
0
0
F
0
0
65
C
0.1
831
C
0.1
831
C
0.09
831
C
0.07
921
F
0
0
F
0
0
F
0
0
F
0
0
66
C
0.09
461
C
0.09
461
C
0.08
474
C
0.07
533
F
0
0
F
0
0
F
0
0
F
0
0
67
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
68
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
69
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
70
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
71
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
72
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
73
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
74
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
75
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
76
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
77
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
78
C
0.11
278
C
0.11
278
C
0.06
286
C
0.06
286
C
0.04
286
C
0.08
286
C
0.04
286
C
0.05
286
79
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
80
C
1.08
5905
C
1.72
5905
C
1.23
5905
C
1.19
5905
C
1.53
5905
C
1.98
5905
C
1.25
5905
C
3.92
5905
81
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
82
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
83
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
84
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
85
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
86
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
87
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
88
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
89
C
0.01
41
C
0.01
41
C
0.01
41
C
0.01
41
C
0.01
41
C
0.01
41
C
0.
41
C
0.
41
90
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
91
C
0.22
1621
C
0.23
1621
C
0.19
1673
C
0.19
1673
C
0.38
1673
C
0.24
1673
C
0.16
1673
C
0.22
1673
92
C
0.13
870
C
0.17
870
C
0.13
903
C
0.13
903
C
0.14
903
C
0.17
903
C
0.1
903
C
0.16
903
93
C
0.08
315
C
0.08
315
C
0.09
315
C
0.06
345
F
0
0
F
0
0
F
0
0
F
0
0
94
C
0.1
612
C
0.09
261
C
0.11
673
C
0.1
673
C
0.1
673
C
0.08
291
C
0.08
673
C
0.12
673
95
C
0.18
2246
C
0.17
2246
C
0.16
2406
C
0.14
2406
C
0.17
2406
C
0.11
526
C
0.08
526
C
0.19
2406
96
C
0.81
55216
C
0.36
14679
C
0.38
20199
C
0.34
20199
C
0.38
20199
C
0.53
20199
C
0.38
20199
C
0.8
20199
97
C
0.26
764
C
0.26
764
C
0.17
764
C
0.15
764
F
0
0
F
0
0
F
0
0
F
0
0
98
A
0.03
80
A
0.04
80
A
0.03
80
A
0.02
80
A
0.02
80
A
0.03
80
A
0.02
80
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0.03
80
99
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0
0
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0
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0
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0
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0
0
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0
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0
0
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0
0
100
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0.02
76
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0.03
76
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0.02
76
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0.02
76
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0.02
76
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0.02
76
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0.01
76
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0.02
76
101
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34
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34
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34
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34
102
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103
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0.01
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0.02
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84
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104
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0
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0
0
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0
0
F
0
0
105
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0.04
88
C
0.04
88
C
0.03
92
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0.03
92
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0.02
92
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0.02
92
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0.01
92
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0.
92
106
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0
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0
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0
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0
0
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0
0
107
C
0.05
82
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0.06
82
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0.04
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0.03
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0.02
82
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0.03
82
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0.01
82
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0.
82
108
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0.06
118
C
0.06
118
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0.04
122
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0.03
122
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0.02
122
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0.03
122
C
0.01
122
C
0.02
122
109
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0
0
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0
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0
0
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0
0
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0
0
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0
0
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0
0
F
0
0
110
A
0.02
7
A
0.02
7
A
0.01
7
A
0.01
7
C
0.4
211
C
0.44
211
C
0.3
220
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1.2
207
111
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0.01
8
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0.02
8
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8
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0.
8
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0.03
225
C
0.06
225
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0.04
225
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0.03
225
112
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0.02
134
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0.03
134
C
0.02
220
C
0.06
220
C
0.01
220
C
0.05
220
C
0.02
220
C
0.02
220
113
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0
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0
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0
114
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0.08
76
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76
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0.04
76
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0.03
76
A
0.03
76
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0.03
76
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0.02
76
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0.03
76
115
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0
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116
C
0.03
47
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0.04
47
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0.02
47
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0.02
47
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0.03
47
C
0.02
47
C
0.01
47
C
0.02
47
117
C
0.18
314
C
0.16
314
C
0.12
314
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0.11
314
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0.11
314
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0.15
314
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0.09
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0.11
430
118
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14
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119
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23
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14
121
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0.06
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19
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19
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123
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168
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168
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168
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12
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12
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12
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12
125
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38
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38
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126
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10
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10
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10
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10
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10
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10
127
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14
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14
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14
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14
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14
128
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0.01
22
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22
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0.
22
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22
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22
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22
129
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0.
30
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30
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30
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0.02
30
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30
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30
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30
130
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0.03
57
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0.03
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57
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57
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0.02
57
A
0.02
57
A
0.01
57
A
0.02
57
131
A
0.04
28
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0.04
28
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0.01
28
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0.01
28
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28
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28
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28
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0.02
28
132
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0.
46
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46
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0.01
46
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46
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46
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0.01
46
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0.
46
133
C
0.09
292
C
0.19
292
C
0.08
292
C
0.07
292
F
0
0
F
0
0
F
0
0
F
0
0
134
F
0
0
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0
0
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0
0
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135
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0.
15
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15
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15
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15
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15
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15
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15
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15
136
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0.02
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26
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26
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0.
26
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137
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22
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22
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22
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0.
22
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0.
22
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22
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22
138
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0
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0
0
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0
0
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0
0
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0
0
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0
0
F
0
0
F
0
0
139
C
0.13
468
C
0.13
468
C
0.07
469
C
0.07
469
C
0.07
469
C
0.11
469
C
0.05
469
C
0.09
469
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