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2.43
1_Algebraic_functions\1.3Miscellaneous\1.3.2Algebraicfunctions
Table 45: 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
B
0.02
451
B
0.02
451
B
0.01
451
B
0.01
451
B
0.02
451
B
0.03
451
B
0.02
451
B
0.05
451
2
B
0.03
1565
B
0.02
1565
B
0.02
1565
B
0.02
1565
B
0.02
1565
B
0.07
1565
B
0.07
1565
B
0.12
1565
3
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
4
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
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
0.03
23
A
0.03
23
A
0.03
23
A
0.03
23
A
0.03
23
A
0.03
23
A
0.02
23
A
0.11
23
7
F
0
0
F
0
0
F
0
0
C
1.67
471
F
0
0
F
0
0
F
0
0
F
0
0
8
A
0.03
23
A
0.03
23
A
0.02
23
A
0.02
23
A
0.03
23
A
0.03
23
A
0.02
23
A
0.08
23
9
F
0
0
F
0
0
F
0
0
C
1.68
238
F
0
0
F
0
0
F
0
0
F
0
0
10
A
0.12
29
A
0.12
29
A
0.08
29
B
0.08
136
A
0.08
29
A
0.09
29
A
0.06
29
A
0.17
29
11
F
0
0
F
0
0
F
0
0
C
1.59
541
F
0
0
F
0
0
F
0
0
F
0
0
12
C
0.55
1007
C
0.58
1007
C
0.44
1007
C
0.4
1007
F
0
0
F
0
0
F
0
0
F
0
0
13
C
0.24
336
C
0.24
336
C
0.2
336
C
0.2
336
F
0
0
F
0
0
F
0
0
F
0
0
14
A
0.01
27
A
0.01
27
A
0.
27
A
0.
27
A
0.
27
A
0.
27
A
0.
27
A
0.
27
15
A
0.
22
A
0.01
22
A
0.
22
A
0.
22
A
0.
22
A
0.
22
A
0.
22
A
0.
22
16
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
17
A
0.
25
A
0.01
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
18
A
0.
46
A
0.01
46
A
0.
46
A
0.
46
A
0.
46
A
0.
46
A
0.
46
A
0.
46
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
A
0.
44
A
0.01
44
A
0.
44
A
0.
44
A
0.
44
A
0.
44
A
0.
44
A
0.
44
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
A
0.01
136
A
0.01
136
A
0.01
136
A
0.01
136
A
0.01
136
A
0.
136
A
0.01
136
A
0.02
136
25
A
0.
29
A
0.01
29
A
0.
29
A
0.
29
A
0.
29
A
0.02
29
A
0.
29
A
0.
29
26
A
0.01
83
A
0.01
83
A
0.01
83
A
0.01
83
A
0.01
83
A
0.02
83
A
0.01
83
A
0.
83
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
A
0.
17
A
0.01
17
A
0.
17
A
0.01
17
A
0.
17
A
0.
17
A
0.
17
A
0.
17
29
A
0.
21
A
0.01
21
A
0.
21
A
0.
21
A
0.
21
A
0.
21
A
0.
21
A
0.
21
30
A
0.01
21
A
0.01
21
A
0.
21
A
0.
21
A
0.
21
A
0.02
21
A
0.
21
A
0.
21
31
A
0.
21
A
0.01
21
A
0.
21
A
0.
21
A
0.
21
A
0.02
21
A
0.
21
A
0.
21
32
A
0.
18
A
0.01
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
33
A
0.
21
A
0.01
21
A
0.
21
A
0.
21
A
0.
21
A
0.
21
A
0.
21
A
0.
21
34
A
0.
17
A
0.01
17
A
0.
17
A
0.
17
A
0.
17
A
0.
17
A
0.
17
A
0.02
17
35
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
36
A
0.01
94
A
0.01
94
A
0.01
94
A
0.01
94
A
0.
94
A
0.01
94
A
0.01
94
A
0.
94
37
A
0.
28
A
0.01
28
A
0.
28
A
0.
28
A
0.02
28
A
0.01
28
A
0.
28
A
0.
28
38
A
0.01
33
A
0.01
33
A
0.01
33
A
0.01
33
A
0.02
33
A
0.02
33
A
0.01
33
A
0.
33
39
A
0.02
32
A
0.02
32
A
0.01
32
A
0.01
32
A
0.02
32
A
0.
32
A
0.01
32
A
0.02
32
40
A
0.01
32
A
0.01
32
A
0.
32
A
0.
32
A
0.02
32
A
0.02
32
A
0.
32
A
0.02
32
41
A
0.01
32
A
0.01
32
A
0.01
32
A
0.01
32
A
0.
32
A
0.
32
A
0.
32
A
0.02
32
42
A
0.
31
A
0.01
31
A
0.
31
A
0.
31
A
0.
31
A
0.
31
A
0.
31
A
0.02
31
43
A
0.
32
A
0.01
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
44
A
0.01
32
A
0.01
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
A
0.02
32
45
A
0.
31
A
0.01
31
A
0.
31
A
0.
31
A
0.
31
A
0.
31
A
0.
31
A
0.
31
46
A
0.01
30
A
0.01
30
A
0.01
30
A
0.01
30
A
0.
30
A
0.
30
A
0.
30
A
0.02
30
47
A
0.01
32
A
0.01
32
A
0.
32
A
0.
32
A
0.01
32
A
0.02
32
A
0.
32
A
0.02
32
48
A
0.01
82
A
0.01
82
A
0.01
82
A
0.01
82
A
0.02
82
A
0.
82
A
0.
82
A
0.
82
49
A
0.
31
A
0.01
31
A
0.
31
A
0.
31
A
0.
31
A
0.02
31
A
0.
31
A
0.
31
50
A
0.01
29
A
0.01
29
A
0.01
29
A
0.01
29
A
0.02
29
A
0.
29
A
0.01
29
A
0.
29
51
A
0.01
63
A
0.01
63
A
0.01
63
A
0.01
63
A
0.02
63
A
0.02
63
A
0.01
63
A
0.02
63
52
A
0.01
63
A
0.02
63
A
0.01
63
A
0.01
63
A
0.01
63
A
0.02
63
A
0.
63
A
0.02
63
53
A
0.01
50
A
0.01
50
A
0.01
50
A
0.01
50
A
0.
50
A
0.
50
A
0.01
50
A
0.
50
54
A
0.01
38
A
0.01
38
A
0.01
38
A
0.01
38
A
0.
38
A
0.02
38
A
0.01
38
A
0.02
38
55
A
0.02
62
A
0.03
62
A
0.02
62
A
0.02
62
A
0.03
62
A
0.02
62
A
0.01
62
A
0.02
62
56
A
0.
21
A
0.01
21
A
0.
21
A
0.
21
A
0.02
21
A
0.02
21
A
0.
21
A
0.
21
57
A
0.01
34
A
0.01
34
A
0.01
34
A
0.02
33
A
0.01
33
A
0.02
34
A
0.01
33
A
0.
34
58
A
0.01
59
A
0.02
59
A
0.01
59
A
0.01
59
A
0.01
59
A
0.
59
A
0.
59
A
0.
59
59
A
0.01
55
A
0.01
55
A
0.01
55
A
0.02
52
A
0.01
52
A
0.02
55
A
0.01
55
A
0.02
55
60
A
0.01
74
A
0.02
74
A
0.01
74
A
0.01
74
A
0.
74
A
0.02
74
A
0.01
74
A
0.02
74
61
A
0.
21
A
0.01
21
A
0.
21
A
0.
21
A
0.
21
A
0.02
21
A
0.
21
A
0.
21
62
A
0.01
93
A
0.01
93
A
0.01
93
A
0.02
95
A
0.02
93
A
0.03
93
A
0.01
95
A
0.
93
63
A
0.01
91
A
0.01
91
A
0.
91
A
0.01
91
A
0.01
93
A
0.02
91
A
0.01
93
A
0.
91
64
A
0.01
31
A
0.01
31
A
0.
31
A
0.01
31
A
0.
31
A
0.
31
A
0.
31
A
0.
31
65
A
0.01
25
A
0.01
25
A
0.
25
A
0.
25
A
0.
25
A
0.01
25
A
0.
25
A
0.
25
66
A
0.08
17
A
0.1
17
A
0.05
17
A
0.05
17
A
0.03
17
A
0.03
17
A
0.02
17
A
0.03
17
67
A
0.02
38
A
0.02
38
A
0.01
38
A
0.01
38
A
0.01
38
A
0.02
38
A
0.01
38
A
0.02
38
68
A
0.01
37
A
0.02
37
A
0.
37
A
0.01
37
A
0.
37
A
0.
37
A
0.
37
A
0.02
37
69
A
0.01
37
A
0.02
37
A
0.
37
A
0.
37
A
0.
37
A
0.01
37
A
0.
37
A
0.
37
70
A
0.02
44
A
0.04
44
A
0.02
43
A
0.02
43
A
0.02
44
A
0.02
44
A
0.01
44
A
0.
44
71
A
0.01
26
A
0.01
26
A
0.01
26
A
0.01
26
A
0.02
26
A
0.02
27
A
0.01
26
A
0.
26
72
C
0.03
76
C
0.04
76
C
0.02
76
C
0.02
76
C
0.02
76
C
0.04
76
C
0.02
76
C
0.03
76
73
C
0.02
81
C
0.03
81
C
0.02
81
C
0.02
81
C
0.03
81
C
0.02
81
C
0.02
81
C
0.03
81
74
C
0.04
116
C
0.04
116
C
0.03
116
C
0.04
116
C
0.03
116
C
0.05
116
C
0.03
116
C
0.05
116
75
A
0.01
18
A
0.01
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
76
A
0.01
31
A
0.01
31
A
0.01
31
A
0.01
31
A
0.01
31
A
0.
31
A
0.
31
A
0.
31
77
C
0.27
232
C
0.16
232
C
0.12
232
C
0.12
232
C
0.12
232
C
0.12
232
C
0.09
232
C
0.14
232
78
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
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
A
0.01
90
A
0.01
90
A
0.
90
A
0.
90
A
0.
90
A
0.02
90
A
0.
90
A
0.02
90
81
C
0.02
604
C
0.02
604
C
0.02
604
C
0.02
604
C
0.02
604
C
0.03
604
C
0.02
604
C
0.02
604
82
C
0.02
431
C
0.02
431
C
0.01
431
C
0.01
431
C
0.02
431
C
0.02
431
C
0.01
431
C
0.02
431
83
A
0.01
59
A
0.01
59
A
0.01
59
A
0.01
59
A
0.
59
A
0.02
59
A
0.01
59
A
0.
59
84
B
0.01
58
B
0.01
58
B
0.
58
B
0.
58
B
0.
58
B
0.
58
B
0.
58
B
0.
58
85
B
0.01
50
B
0.02
50
B
0.01
50
B
0.02
50
B
0.
50
B
0.02
50
B
0.01
50
B
0.
50
86
B
0.01
385
B
0.02
385
B
0.01
385
B
0.01
385
B
0.02
385
B
0.02
385
B
0.
385
B
0.02
385
87
C
0.02
313
C
0.02
313
C
0.02
313
C
0.01
313
C
0.02
313
C
0.02
313
C
0.01
313
C
0.02
313
88
B
0.
63
B
0.01
63
B
0.
63
B
0.
63
B
0.
63
B
0.
63
B
0.
63
B
0.
63
89
B
0.
59
B
0.
59
B
0.
59
B
0.
59
B
0.
59
B
0.
59
B
0.
59
B
0.
59
90
A
0.01
48
A
0.01
48
A
0.01
48
A
0.01
48
A
0.
48
A
0.01
48
A
0.01
48
A
0.
48
91
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
92
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
93
C
0.06
60
C
0.06
60
C
0.04
60
C
0.05
60
C
0.03
60
C
0.04
60
C
0.03
60
C
0.02
60
94
C
0.04
55
C
0.04
55
C
0.02
55
C
0.02
55
C
0.03
55
C
0.03
55
C
0.04
55
C
0.02
55
95
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
96
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
97
B
0.04
120
B
0.04
120
B
0.03
124
B
0.03
124
B
0.03
124
B
0.03
124
B
0.02
124
B
0.05
124
98
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
99
F
0
0
F
0
0
F
0
0
F
0
0
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0
0
F
0
0
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0
0
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0
0
100
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0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
101
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0
0
F
0
0
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0
0
F
0
0
F
0
0
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0
0
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0
0
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0
0
102
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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
F
0
0
F
0
0
103
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0
0
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0
0
F
0
0
F
0
0
F
0
0
F
0
0
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0
0
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0
0
104
A
0.05
771
A
0.05
771
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0.04
771
A
0.04
771
A
0.03
771
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0.05
771
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0.03
771
A
0.05
771
105
A
0.07
240
A
0.06
240
A
0.04
240
A
0.04
240
A
0.05
240
A
0.05
240
A
0.03
240
A
0.05
240
106
B
0.08
394
B
0.08
394
B
0.06
394
B
0.06
394
B
0.05
394
B
0.06
394
B
0.02
394
B
0.03
394
107
C
0.02
70
C
0.02
70
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0.01
69
C
0.01
69
C
0.02
69
C
0.
69
C
0.01
69
C
0.02
69
108
C
0.33
77
C
0.32
77
C
0.27
78
C
0.24
78
C
0.25
78
C
0.28
78
C
0.07
78
C
0.08
78
109
C
0.02
74
C
0.02
74
C
0.01
75
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0.01
75
C
0.02
75
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0.01
75
C
0.
75
C
0.
75
110
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0.01
42
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0.01
42
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0.
42
A
0.
42
A
0.
42
A
0.
42
A
0.
42
A
0.02
42
111
B
0.13
84
B
0.12
84
B
0.1
84
B
0.11
84
B
0.11
84
B
0.16
84
B
0.12
84
B
0.22
84
112
B
0.14
2289
B
0.12
2289
B
0.09
2289
B
0.09
2289
B
0.08
2289
B
0.09
2289
B
0.06
2289
B
0.08
2279
113
C
0.16
1473
C
0.17
1473
C
0.16
1533
C
0.18
1533
C
0.16
1533
C
0.22
1533
C
0.14
1533
C
0.17
1533
114
C
0.04
636
C
0.06
636
C
0.05
653
C
0.06
653
C
0.03
653
C
0.08
653
C
0.03
653
C
0.03
653
115
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0
0
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0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
116
B
0.15
173
B
0.2
173
B
0.18
173
B
0.2
173
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0.17
173
B
0.22
173
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0.09
173
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0.08
173
117
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0.
175
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0.01
175
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175
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0.06
175
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175
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0.05
175
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0.03
175
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0.02
175
118
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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
F
0
0
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0
0
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0
0
119
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0
0
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0
0
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0
0
F
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
120
A
0.01
28
A
0.01
28
A
0.03
34
A
0.02
34
A
0.03
34
A
0.03
34
A
0.02
34
A
0.03
34
121
F
0
0
F
0
0
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0
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0
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0
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0
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122
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0.
5
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5
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5
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5
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5
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5
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12
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12
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12
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12
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12
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12
124
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8
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8
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8
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0.
8
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8
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0.
8
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8
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0.
8
125
C
0.01
44
C
0.01
44
C
0.
44
C
0.01
46
C
0.01
46
C
0.02
46
C
0.01
44
C
0.
44
126
B
0.01
48
B
0.01
48
B
0.01
48
B
0.01
48
B
0.
48
B
0.
48
B
0.01
48
B
0.02
48
127
A
0.
16
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16
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0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.02
16
128
B
0.01
41
B
0.01
41
B
0.
41
B
0.
41
B
0.
41
B
0.
41
B
0.01
41
B
0.
41
129
B
0.01
47
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0.01
47
B
0.
47
B
0.
47
B
0.
47
B
0.02
47
B
0.
47
B
0.
45
130
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0.
29
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0.
29
A
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29
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0.01
29
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29
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0.02
29
A
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29
A
0.02
29
131
A
0.01
37
A
0.01
37
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0.
37
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0.
37
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0.
37
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0.
37
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37
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0.
37
132
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0.01
37
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0.01
37
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0.01
37
A
0.01
37
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0.02
37
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0.01
37
A
0.
37
A
0.
37
133
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0
0
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0
0
F
0
0
F
0
0
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0
0
F
0
0
F
0
0
F
0
0
134
B
0.05
753
B
0.05
753
B
0.05
754
B
0.09
754
B
0.04
754
B
0.09
754
B
0.08
754
B
0.06
754
135
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
136
C
0.05
514
C
0.05
514
C
0.03
504
C
0.04
504
C
0.03
504
C
0.06
504
C
0.03
504
C
0.03
504
137
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
138
B
0.03
88
B
0.03
88
B
0.02
88
B
0.02
88
B
0.02
88
B
0.02
88
B
0.02
88
B
0.02
88
139
C
0.1
555
C
0.1
555
C
0.07
555
C
0.07
555
C
0.07
555
C
0.1
555
C
0.06
555
C
0.08
555
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