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2.13
1_Algebraic_functions\1.1Binomialproducts\1.1.1Linear\1.1.1.2(a+bx)^m(c+dx)^n
Table 15: 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
A
0.
4
A
0.
4
A
0.
4
A
0.
4
A
0.
4
A
0.
4
A
0.
4
A
0.
4
2
A
0.
4
A
0.
4
A
0.
4
A
0.
4
A
0.
4
A
0.
4
A
0.
4
A
0.
4
3
A
0.
12
A
0.
12
A
0.
12
A
0.
12
A
0.
12
A
0.
12
A
0.
12
A
0.
12
4
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
5
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
7
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.02
6
A
0.
6
A
0.
6
8
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
9
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.02
6
A
0.
6
A
0.
6
A
0.
6
10
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
11
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.
6
A
0.02
6
12
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
13
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
14
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.02
25
A
0.
25
A
0.
25
15
A
0.
21
A
0.
21
A
0.
21
A
0.
21
A
0.
21
A
0.
21
A
0.
21
A
0.
21
16
A
0.01
23
A
0.01
23
A
0.01
23
A
0.01
23
A
0.01
23
A
0.
23
A
0.
23
A
0.
23
17
A
0.01
25
A
0.01
25
A
0.01
25
A
0.
25
A
0.01
25
A
0.
25
A
0.
25
A
0.02
25
18
A
0.01
25
A
0.01
25
A
0.01
25
A
0.01
25
A
0.
25
A
0.02
25
A
0.
25
A
0.
25
19
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
20
A
0.01
36
A
0.01
36
A
0.01
36
A
0.01
36
A
0.
36
A
0.
36
A
0.
36
A
0.
36
21
A
0.
58
A
0.
58
A
0.
58
A
0.
58
A
0.
58
A
0.
58
A
0.
58
A
0.
58
22
A
0.
57
A
0.
57
A
0.
57
A
0.
57
A
0.
57
A
0.
57
A
0.
57
A
0.
57
23
A
0.
58
A
0.
58
A
0.
58
A
0.
58
A
0.
58
A
0.
58
A
0.
58
A
0.
58
24
A
0.01
55
A
0.01
55
A
0.01
55
A
0.01
55
A
0.01
55
A
0.
55
A
0.
55
A
0.
55
25
A
0.01
55
A
0.01
55
A
0.01
55
A
0.01
55
A
0.01
55
A
0.
55
A
0.
55
A
0.
55
26
A
0.01
54
A
0.01
54
A
0.01
54
A
0.01
54
A
0.01
54
A
0.02
54
A
0.
54
A
0.02
54
27
A
0.01
58
A
0.01
58
A
0.01
58
A
0.01
58
A
0.01
58
A
0.02
58
A
0.
58
A
0.
58
28
A
0.01
58
A
0.01
58
A
0.01
58
A
0.01
58
A
0.01
58
A
0.02
58
A
0.
58
A
0.02
58
29
A
0.01
58
A
0.01
58
A
0.01
58
A
0.01
58
A
0.01
58
A
0.02
58
A
0.
58
A
0.
58
30
A
0.01
58
A
0.01
58
A
0.01
58
A
0.01
58
A
0.
58
A
0.02
58
A
0.
58
A
0.
58
31
A
0.
80
A
0.
80
A
0.
80
A
0.
80
A
0.
80
A
0.
80
A
0.
80
A
0.
80
32
A
0.01
77
A
0.01
77
A
0.01
77
A
0.01
77
A
0.01
77
A
0.
77
A
0.
77
A
0.
77
33
A
0.01
77
A
0.01
77
A
0.01
77
A
0.01
77
A
0.01
77
A
0.
77
A
0.
77
A
0.
77
34
B
0.01
80
B
0.01
80
B
0.01
80
B
0.01
80
B
0.01
80
B
0.01
80
B
0.
80
B
0.02
80
35
A
0.01
80
A
0.01
80
A
0.01
80
A
0.01
80
A
0.01
80
A
0.02
80
A
0.
80
A
0.
80
36
A
0.
109
A
0.01
109
A
0.01
109
A
0.
109
A
0.
109
A
0.
109
A
0.
109
A
0.
109
37
A
0.01
110
A
0.01
110
A
0.01
110
A
0.01
110
A
0.
110
A
0.02
110
A
0.
110
A
0.
110
38
A
0.01
111
A
0.01
111
A
0.01
111
A
0.01
111
A
0.02
111
A
0.02
111
A
0.
111
A
0.
111
39
B
0.01
113
B
0.01
113
B
0.01
113
B
0.01
113
B
0.01
113
B
0.
113
B
0.
113
B
0.02
113
40
A
0.01
113
A
0.01
113
A
0.01
113
A
0.01
113
A
0.02
113
A
0.
113
A
0.
113
A
0.02
113
41
A
0.
52
A
0.
52
A
0.
52
A
0.
52
A
0.
52
A
0.
52
A
0.
52
A
0.
52
42
A
0.01
45
A
0.01
45
A
0.01
45
A
0.01
45
A
0.
45
A
0.02
45
A
0.
45
A
0.
45
43
A
0.01
34
A
0.01
34
A
0.01
34
A
0.01
34
A
0.
34
A
0.02
34
A
0.
34
A
0.02
34
44
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
45
A
0.
30
A
0.
30
A
0.
30
A
0.
30
A
0.
30
A
0.01
30
A
0.
30
A
0.
30
46
A
0.
43
A
0.
43
A
0.
43
A
0.01
43
A
0.
43
A
0.
43
A
0.
43
A
0.
43
47
A
0.02
57
A
0.02
57
A
0.01
57
A
0.01
57
A
0.01
57
A
0.
57
A
0.01
57
A
0.
57
48
A
0.02
68
A
0.02
68
A
0.01
68
A
0.01
68
A
0.01
68
A
0.02
68
A
0.01
68
A
0.
68
49
A
0.02
79
A
0.02
79
A
0.01
79
A
0.01
79
A
0.02
79
A
0.02
79
A
0.01
79
A
0.02
79
50
A
0.01
61
A
0.01
61
A
0.01
61
A
0.01
61
A
0.01
61
A
0.01
61
A
0.
61
A
0.02
61
51
A
0.01
49
A
0.01
49
A
0.01
49
A
0.01
49
A
0.01
49
A
0.02
49
A
0.
49
A
0.
49
52
A
0.01
42
A
0.01
42
A
0.01
42
A
0.01
42
A
0.01
42
A
0.02
42
A
0.01
42
A
0.
42
53
A
0.02
56
A
0.02
56
A
0.01
56
A
0.01
56
A
0.02
56
A
0.02
56
A
0.01
56
A
0.
56
54
A
0.02
110
A
0.02
110
A
0.01
110
A
0.01
110
A
0.02
110
A
0.02
110
A
0.01
110
A
0.
110
55
A
0.02
121
A
0.02
121
A
0.01
121
A
0.01
121
A
0.01
121
A
0.
121
A
0.01
121
A
0.
121
56
A
0.01
100
A
0.01
100
A
0.01
100
A
0.01
100
A
0.
100
A
0.
100
A
0.
100
A
0.
100
57
B
0.01
72
B
0.01
72
B
0.01
72
B
0.01
72
B
0.01
72
B
0.
72
B
0.
72
B
0.
72
58
A
0.01
27
A
0.01
27
A
0.01
27
A
0.01
27
A
0.01
27
A
0.
27
A
0.
27
A
0.
27
59
A
0.02
108
A
0.02
108
A
0.02
108
A
0.01
108
A
0.02
108
A
0.02
108
A
0.01
108
A
0.02
108
60
B
0.01
102
B
0.01
102
B
0.01
102
B
0.01
102
B
0.01
102
B
0.
102
B
0.
102
B
0.
102
61
A
0.03
189
A
0.02
189
A
0.02
189
A
0.02
189
A
0.02
189
A
0.02
189
A
0.01
189
A
0.02
189
62
B
0.01
91
B
0.01
91
B
0.01
91
B
0.01
91
B
0.02
91
B
0.
91
B
0.
91
B
0.
91
63
A
0.01
58
A
0.01
58
A
0.01
58
A
0.01
58
A
0.01
58
A
0.
58
A
0.
58
A
0.
58
64
A
0.01
25
A
0.01
25
A
0.01
25
A
0.01
25
A
0.01
25
A
0.02
25
A
0.
25
A
0.
25
65
A
0.03
135
A
0.02
135
A
0.02
135
A
0.01
135
A
0.02
135
A
0.02
135
A
0.01
135
A
0.
135
66
A
0.01
14
A
0.02
14
A
0.01
14
A
0.01
14
A
0.01
14
A
0.
14
A
0.
14
A
0.
14
67
A
0.01
29
A
0.02
29
A
0.01
29
A
0.01
29
A
0.01
29
A
0.
29
A
0.01
29
A
0.02
29
68
A
0.01
28
A
0.01
28
A
0.01
28
A
0.01
28
A
0.01
28
A
0.
28
A
0.
28
A
0.
28
69
A
0.01
43
A
0.02
43
A
0.01
43
A
0.01
43
A
0.01
43
A
0.
43
A
0.
43
A
0.02
43
70
A
0.01
52
A
0.02
52
A
0.01
52
A
0.01
52
A
0.01
52
A
0.02
52
A
0.01
52
A
0.
52
71
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
72
A
0.01
18
A
0.01
18
A
0.01
18
A
0.01
18
A
0.01
18
A
0.01
18
A
0.
18
A
0.
18
73
A
0.01
15
A
0.02
15
A
0.01
15
A
0.01
15
A
0.01
15
A
0.01
15
A
0.01
15
A
0.
15
74
A
0.01
32
A
0.01
32
A
0.01
32
A
0.01
32
A
0.
32
A
0.01
32
A
0.
32
A
0.02
32
75
A
0.01
28
A
0.01
28
A
0.
28
A
0.01
28
A
0.
28
A
0.01
28
A
0.
28
A
0.02
28
76
A
0.01
37
A
0.01
60
A
0.
60
A
0.01
60
A
0.
60
A
0.
60
A
0.
60
A
0.
60
77
A
0.02
65
B
0.02
152
B
0.02
152
B
0.01
152
B
0.01
152
B
0.01
152
B
0.01
152
B
0.02
152
78
A
0.
21
A
0.01
21
A
0.
21
A
0.
21
A
0.
21
A
0.01
21
A
0.
21
A
0.
21
79
A
0.02
61
A
0.02
81
A
0.01
81
A
0.01
81
A
0.01
81
A
0.01
81
A
0.
81
A
0.02
81
80
A
0.01
43
A
0.01
43
A
0.01
43
A
0.01
43
A
0.01
43
A
0.02
43
A
0.01
43
A
0.02
43
81
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
82
A
0.02
84
A
0.02
104
A
0.02
104
A
0.01
104
A
0.01
104
A
0.01
104
A
0.01
104
A
0.
104
83
A
0.02
87
B
0.02
466
B
0.01
466
B
0.01
466
B
0.02
466
B
0.
466
B
0.01
466
B
0.02
466
84
A
0.01
32
A
0.01
32
A
0.01
32
A
0.01
32
A
0.
32
A
0.
32
A
0.01
32
A
0.
32
85
A
0.02
35
A
0.02
35
A
0.01
35
A
0.01
35
A
0.
35
A
0.02
35
A
0.01
35
A
0.
35
86
A
0.01
43
A
0.01
43
A
0.01
43
A
0.01
43
A
0.
43
A
0.
43
A
0.
43
A
0.
43
87
A
0.
40
A
0.
40
A
0.
40
A
0.01
40
A
0.
40
A
0.02
40
A
0.
40
A
0.02
40
88
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
89
A
0.01
54
A
0.01
54
A
0.01
54
A
0.01
54
A
0.01
54
A
0.02
54
A
0.
54
A
0.02
54
90
A
0.01
43
A
0.01
43
A
0.01
43
A
0.01
43
A
0.01
43
A
0.02
43
A
0.
43
A
0.02
43
91
A
0.01
32
A
0.01
32
A
0.01
32
A
0.
32
A
0.01
32
A
0.01
32
A
0.
32
A
0.02
32
92
A
0.01
35
A
0.02
35
A
0.01
35
A
0.01
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0.
35
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A
0.02
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13
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A
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34
A
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A
0.02
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A
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34
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128
A
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A
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A
0.01
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A
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128
A
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A
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128
97
A
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A
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A
0.
43
A
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A
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43
A
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98
A
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13
A
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13
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13
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13
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13
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13
A
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13
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13
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0.01
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76
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A
0.
76
A
0.
76
A
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76
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76
100
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20
A
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20
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20
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20
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20
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20
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101
A
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91
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96
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31
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31
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14
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14
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14
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14
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A
0.01
87
A
0.01
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A
0.
87
A
0.
87
106
A
0.01
25
A
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0.02
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0.
25
107
A
0.01
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0.
36
A
0.
36
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0.
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108
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A
0.
36
A
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36
A
0.
36
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0.02
36
109
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0.02
48
A
0.03
48
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A
0.02
48
A
0.02
48
A
0.01
48
A
0.01
48
A
0.02
48
110
A
0.02
66
A
0.03
64
A
0.02
64
A
0.02
64
A
0.03
64
A
0.02
64
A
0.01
64
A
0.02
64
111
A
0.02
79
A
0.03
79
A
0.02
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79
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0.
79
112
A
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49
A
0.02
79
A
0.02
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79
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0.01
79
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0.02
79
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A
0.01
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39
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39
A
0.
39
A
0.01
39
A
0.02
39
114
A
0.02
54
B
0.02
114
B
0.01
114
B
0.02
114
B
0.01
114
B
0.02
114
B
0.01
114
B
0.02
114
115
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
0.01
63
A
0.02
63
116
A
0.04
66
A
0.04
66
B
0.04
88
B
0.04
88
A
0.03
50
A
0.03
50
A
0.02
50
A
0.02
50
117
A
0.01
58
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58
A
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58
A
0.
58
A
0.02
58
A
0.
58
A
0.02
58
118
B
0.01
63
B
0.01
63
B
0.01
63
B
0.01
63
B
0.01
63
B
0.02
63
B
0.
63
B
0.02
63
119
B
0.04
90
B
0.04
90
B
0.03
70
B
0.03
70
A
0.02
48
A
0.03
48
A
0.02
48
A
0.03
48
120
A
0.01
138
A
0.01
138
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A
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A
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138
A
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138
A
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138
121
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0.01
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78
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78
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78
A
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78
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78
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78
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87
A
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87
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87
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A
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110
A
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110
A
0.03
72
A
0.03
72
A
0.02
72
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72
124
A
0.01
138
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A
0.
138
A
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138
A
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138
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A
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138
125
A
0.04
81
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81
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81
A
0.03
81
A
0.03
61
A
0.03
61
A
0.02
61
A
0.03
61
126
A
0.01
107
A
0.01
107
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A
0.
107
A
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107
127
A
0.03
106
A
0.03
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0.02
86
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0.02
86
A
0.02
64
A
0.03
64
A
0.02
64
A
0.03
64
128
A
0.01
24
A
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24
A
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24
A
0.
24
A
0.01
24
A
0.
24
A
0.
24
A
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24
129
A
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35
A
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35
A
0.01
35
A
0.01
35
A
0.
35
A
0.
35
A
0.02
35
130
B
0.06
160
B
0.06
160
B
0.06
182
B
0.07
182
A
0.05
143
A
0.09
143
A
0.17
143
A
0.06
143
131
F
0
0
F
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
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132
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36
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A
0.
36
A
0.
36
A
0.
36
A
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36
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36
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133
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93
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93
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93
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134
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0.04
48
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0.03
48
A
0.05
48
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135
A
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18
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18
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18
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18
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18
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136
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0.01
35
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35
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A
0.
35
A
0.02
35
A
0.
35
A
0.
35
137
A
0.06
55
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0.05
55
A
0.04
55
A
0.04
55
A
0.04
55
A
0.05
55
A
0.03
55
A
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55
138
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0.01
13
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13
A
0.
13
A
0.
13
A
0.
13
A
0.02
13
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13
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13
139
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100
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A
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100
A
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100
A
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A
0.
100
140
B
0.04
138
B
0.05
138
A
0.04
118
A
0.04
118
A
0.03
94
A
0.05
94
A
0.03
94
A
0.02
94
141
B
0.05
75
B
0.06
75
B
0.04
75
B
0.04
75
B
0.04
75
B
0.05
75
B
0.03
75
B
0.05
75
142
A
0.
14
A
0.
14
A
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14
A
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14
A
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14
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14
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14
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14
143
A
0.01
25
A
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A
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A
0.01
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A
0.
25
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25
144
A
0.01
36
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0.
36
A
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36
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36
A
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36
A
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36
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145
A
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36
A
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36
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146
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121
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0.02
121
A
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147
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95
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104
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0.01
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A
0.02
112
A
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A
0.01
112
A
0.02
112
150
A
0.02
124
A
0.02
128
A
0.02
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A
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A
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A
0.
128
151
A
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A
0.
136
A
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A
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136
152
A
0.01
62
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62
A
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62
A
0.
62
A
0.02
62
A
0.
62
A
0.02
62
153
F
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
154
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
155
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
156
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
157
C
0.04
30
C
0.04
30
C
0.03
30
C
0.03
30
C
0.03
30
C
0.03
30
C
0.02
30
C
0.02
30
158
C
0.05
44
C
0.06
44
C
0.05
44
C
0.04
44
C
0.03
44
C
0.05
44
C
0.03
44
C
0.05
44
159
A
0.
29
A
0.01
29
A
0.
29
A
0.
29
A
0.
29
A
0.02
29
A
0.
29
A
0.02
29
160
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
161
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
162
A
0.
20
A
0.
20
A
0.
20
A
0.
20
A
0.
20
A
0.
20
A
0.
20
A
0.
20
163
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.
16
164
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
165
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
166
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.01
16
A
0.
16
A
0.
16
167
B
0.
72
B
0.
72
B
0.
72
B
0.
72
B
0.
72
B
0.
72
B
0.
72
B
0.
72
168
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.02
16
A
0.
16
A
0.
16
A
0.
16
169
A
0.
15
A
0.
15
A
0.
15
A
0.
15
A
0.
15
A
0.
15
A
0.
15
A
0.
15
170
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.
16
171
A
0.01
35
A
0.01
35
A
0.01
35
A
0.01
35
A
0.
35
A
0.02
35
A
0.
35
A
0.
35
172
A
0.
35
A
0.
35
A
0.
35
A
0.
35
A
0.
35
A
0.
35
A
0.
35
A
0.
35
173
A
0.
37
A
0.
37
A
0.
37
A
0.
37
A
0.
37
A
0.01
37
A
0.
37
A
0.
37
174
A
0.01
53
A
0.01
53
A
0.01
53
A
0.01
53
A
0.01
53
A
0.
53
A
0.
53
A
0.
53
175
A
0.01
40
A
0.01
40
A
0.01
40
A
0.01
40
A
0.01
40
A
0.
40
A
0.
40
A
0.
40
176
A
0.02
76
A
0.02
76
A
0.01
76
A
0.01
76
A
0.01
76
A
0.02
76
A
0.01
76
A
0.02
76
177
A
0.
15
A
0.01
15
A
0.
15
A
0.
15
A
0.
15
A
0.
15
A
0.
15
A
0.02
15
178
A
0.01
30
A
0.01
30
A
0.
30
A
0.
30
A
0.
30
A
0.
30
A
0.
30
A
0.
30
179
A
0.01
57
A
0.01
57
A
0.
57
A
0.01
57
A
0.
57
A
0.01
57
A
0.
57
A
0.
57
180
A
0.01
25
A
0.01
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
181
B
0.01
113
B
0.01
113
B
0.01
113
B
0.
113
B
0.
113
B
0.
113
B
0.
113
B
0.
113
182
A
0.01
85
A
0.01
85
A
0.01
85
A
0.
85
A
0.
85
A
0.
85
A
0.
85
A
0.
85
183
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
184
A
0.
30
A
0.01
30
A
0.
30
A
0.
30
A
0.
30
A
0.02
30
A
0.
30
A
0.02
30
185
A
0.
35
A
0.01
35
A
0.
35
A
0.
35
A
0.
35
A
0.
35
A
0.
35
A
0.
35
186
A
0.01
71
A
0.01
71
A
0.
71
A
0.
71
A
0.02
71
A
0.01
71
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0.02
31
A
0.03
31
A
0.02
31
A
0.03
31
188
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0.04
71
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0.03
71
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0.02
49
A
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127
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0.11
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0.12
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0.09
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0.12
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16
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16
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16
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0.
16
A
0.02
16
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