PSFC/RR-10-8
DEFECT DISTRIBUTION IN WELDS OF INCOLOY 908
Jun Feng
August 10, 2010
Plasma Science and Fusion Center
Massachusetts Institute of Technology
Cambridge, MA 02139, USA
This work was supported by the US Department of Energy, Grant No. DE-FC02-93ER54186.
Reproduction, translation, publication, use and disposal, in whole or in part, by or for the United
States government is permitted
1
ABSTRACT
Incoloy 908 is one of the candidate materials for ITER CS cable jacket. The weakest points are
in welds since the welds include non-uniformity of structure and property, as well as the residual
tension and more defects. The defect distribution is an essence to evaluate the fatigue crack
growth life of the jacket. This report summarizes the measured defect distribution in the Incoloy
908 welds in addition to welding process and defect inspection method.
2
CONTENTS
Abstract
1. Introduction
2. Materials
3. Welding process
4. NDE results
4.1 First measurement
4.2 Second measurement
5. Discussion
References
Appendix 1: First defect measurement
Appendix 2: Second defect measurement
2
4
4
5
6
6
9
15
15
16
24
3
1. Introduction
Incoloy 908 is one of the candidate materials for ITER CS cable jacket. The weakest points are
in welds since the welds include non-uniformity of structure and property, as well as the residual
tension and more defects. The defect distribution is a must to more accurately evaluate the
fatigue crack growth life. Unfortunately, there is no any published data in this field except
assumptions. This report summarizes the measured defect distribution in the Incoloy 908 welds.
2. Materials
The inspected material includes 20 orbital welds made of Incoloy 908 by GTAW. The nominal
compositions of the base metal and the filler material as well as the provided raw materials are
listed in Tables 1 and 2. The 4 CS1 jackets to generate the welds are shown in Fig. 1.
Table 1: Nominal composition of the base metal and filler metal
Fe
Ni
Cr
Nb
Al
Ti
Si
908 base metal
40.8
48.7
4.1
3.0
1.1
1.5
0.2
9HA filler metal
41.67
51.15
4.07
0.52
1.09
1.85
• All these materials are fabricated by Inco. Alloy International, now, Special Metal
Table 2: Provided raw materials for welding
Item
Conduit
Filler metal
Material
Incoloy 908 CS1 tubes,
Total 4 pieces, 24” per piece,
see figure 1
9HA wires, 0.035” dia
Total 3 spools, 12 Ib per spool,
Heats
Heat: HW0621CK122
Heat 1: HV7804
Heat 2: HV7806
Heat 3: HV7808
Fig. 1 Four CS1 jacket tubes with 24” each in length
4
C
0.01
3. Welding process
The butt welding by orbital GTAW was performed in ARC Applications, Inc (AAI).[1] Four
CS1 jacket tubes were supplied. Six coupons were cut from each of the 24”-long jacket tubes,
and generated 5 welds per tube. The filler metal is 9HA.
The whole process consists of (a) machining of the joint ends, (b) auto-orbital welding of the
round parts, (c) manual welding of the 4 corners, and (d) NDE inspections. The groove design of
the joint ends is slightly different from that of Ansaldo for better welding quality. The orbital
welding was performed in clock-wise direction (using right direction view) with two zones in
different welding parameters, see Fig. 2. One zone starts from the top (~3150) clockwise to the
bottom (1800) with mostly downhill welding and therefore a slightly hotter welding condition.
The 2nd zone starts from the bottom and clockwise to the top with uphill welding and slightly
colder welding parameters. The auto-orbital welding process was completed up to flushing the
OD of the thin wall part by 4 passes and 95Ar/5H protection gas (Fig. 3). Then manually
welding process was carried out to fill the remaining 4 corners (Fig. 4).
Fig. 2 Orbital welding in process
Fig. 3 Completion of auto-orbital welding
5
Fig. 4 Completion of manual-corner welding
.
Each welded jacket tube (labeled as A, B, C and D respectively) is cut into 4 plates (e.g., A1, A2,
A3, A4). The process assignment for each plate is listed in Table 3.
Table 3: Process matrix for the Incoloy 908 welds
Plate ID
A1
A2
A3
A4
B1
B2
B3
B4
C1
C2
C3
C4
D1
D2
D3
D4
CW+HT
A11-A15
HT
CW
As received
A21-A25
NDE sample
A11
A25
A31-A35
A41-A45
B11-B15
B15
B21
B21-B25
B31-B35
B41-B45
C11-C15
C15
C21
C21-C25
C31-C35
C41-C45
D11-D15
D21-D25
D31-D35
D41-D45
D45
4. NDE by X ray radiography
4.1 First measurement
AAI uses Integrated Technologies Inc (ITI) to perform NDE inspections. Both liquid penetration
and x ray radiographic methods were applied. All welds are accepted according to liquid
penetration method. All but two welds are accepted according to x-ray radiography. Most of
welds show concave root. The rejected 2 welds show severe lack of fusion, and they were late
repaired. Visual inspection also found localized shrinkage due to radial and angular distortion at
the corners, see Figs. 5 and 6.
The received welds tubes were then cut in longitudinal direction by EDM. Part of these welds
was sent to Baker Testing Services, Inc. (BTS) for x-ray inspection to verify the NDE results
6
from ITI. It is found that most of the welds at top and at 2700 (uphill) are convex, and the others
are concave. There are a few large defects due to lack of fusion and many small defects (e.g.,
pores), as listed in Table 4. Some typical defects are shown in the figures of Appendix 1.
Fig. 5 OD appearance of the jacket welds after surface grinding
Fig. 6 localized shrinkage due to radial and angular distortion at the corners.
7
Table 4 BTS results of NDE by X-ray radiography
AAI ID
EDM ID Weld ID
Fusion shape Severe lack of fusion
in ID (mm)
Bar 2 (A) slice A1
A11
V
15 x 1
Right
A12
V
900
A13
V
A14
V
A15
V
14.3 x 0.7
A2
A21
X
left
A22
X
2700
A23
X
A24
X
A25
X
A3
A31
X
top
A32
X
00
A33
X
A34
X
A35
X
A4
A41
V
bottom
A42
V
1800
A43
V
A44
V
A45
V
Bar 3 (B) slice B1
B11
V
6.3 x 1.1
Right
B12
V
900
B13
V
B14
V
B15
V
9.2 x 1.1
B2
B21
V/X
5 x 1.1
left
B22
X
2700
B23
X
B24
X
B25
X
B3
B31
X
top
B32
X
0
0
B33
X
B34
X
B35
X
B41
V
B4
bottom
B42
V
1800
B43
V
B44
V
B45
V
• V: concave, X: convex, V/X: mixed
Pore
number
21
1
0
0
3
3
2
0
2
19
0
0
0
1
3
5
0
0
0
1
8
3
2
6
14
15
5
4
4
6
2
2
0
1
3
2
1
0
0
1
The convex/concave weld shapes may be due to gravitation effect during welding. The melted
metal during welding flows to ID at the top (00), and to OD at bottom (1800) due to the
gravitation of the liquid metal. For the 2 side plates (900 and 2700), the melted metal during
8
welding flows to both ID and OD for the uphill welding (2700), and flows away from both ID
and OD for the downhill welding (900) due to combined effect of gravitation and surface
shrinkage. The concave welding shape would result in a notch effect and therefore reduce fatigue
life. The convex welding surface includes many roughness and discontinuity, all of which would
have negative impact on the fatigue life.
The defect size distribution is shown in Fig. 7, where the number of defect is plotted against the
cross area of defect. All the small defects are pores with mostly circular shape and located more
in edge than in center.
35
30
Number of defect
25
20
15
10
5
0
0.1
0.2
0.3
0.4
0.5
0.6
Defect cross area (mm^2)
Fig. 7 Size distribution of defect
Apparently, BTS results show many small defects, which were not found in ITI results although
both companies applied x-ray radiography. The difference may be due to the following 2 factors
(a) uniformity and thickness of the specimen, BTS inspected the plates with uniform thickness
of 6mm, but ITI inspected the jacket with un-uniform thickness varying from 6 to 17mm; (b)
Distance of the radiation source, ITI radiation source is much closer than BTS because of its in
situ inspection nature.
4.2
Second measurement
Second measurement has been performed to give more detailed defect features of distribution.
Total 574 defects in the 20 welds are measured for its long axial length, short axial length and
distance to edge. All the measured data as well as the calculated parameters (e.g., area of defect,
aspect ratio of defect, and eccentricity) are listed in the table of Appendix 2. The summary
statistics for overall defect characteristic is shown in Figs. 9 to 13, as well as in Tables 5 to 9.
Fig. 8 A typical x-ray radiography photo, weld C15.
9
Long axis of defect: 2a
120
Frequency
80%
80
40%
40
Frequency
Cumulative %
0%
0.
06
0.
25
82
60
87
0.
45
65
21
73
0.
9
65
47
82
60
0.
9
85
30
43
47
1.
8
05
13
04
34
1.
8
24
95
65
21
1.
7
44
78
26
08
7
0
Long axis length 2a (mm)
Fig. 9 Statistics distribution of the long axial length of defects, 2a
Table 5
Descriptive statistics of the long axial length of defects, 2a
Item
Calculated value (length unit mm)
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
Confidence Level (95.0%)
0.418728223
0.006888257
0.4
0.4
0.165030917
0.027235203
7.629277997
1.515930743
1.52
0.06
1.58
240.35
574
0.013529315
10
Cumulative frequency.
120%
160
Short axis of defect 2b
Frequency.
120
80%
80
40%
40
0.767826087
0.703478261
0.639130435
0.574782609
0.510434783
0.446086957
0.38173913
0.317391304
0.253043478
0.188695652
0.124347826
0%
0.06
0
Cumulative frequency.
120%
160
Frequency
Cumulative %
Short axis length 2b (mm)
Fig. 10 Statistics distribution of the short axial length of defects, 2b
Table 6 Descriptive statistics of the short axial length of defects, 2b
Item
Calculated value (length unit mm)
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
Confidence Level (95.0%)
0.32108
0.005157
0.3
0.3
0.123562
0.015268
0.021779
0.455836
0.74
0.06
0.8
184.3
574
0.01013
11
120
120%
80
80%
Frequency
40
Cumulative %
0.534261527
0.485949337
0.437637146
0.389324956
0.341012765
0.292700574
0.244388384
0.196076193
0.147764003
0.099451812
0.051139622
0%
0.002827431
0
40%
Cumulative frequency
Frequency.
Area of defect pi*a*b
Area of defect (mm)
Fig. 11 Statistics distribution of defect area, the area is obtained by defect _ area = πab .
Table 7 Descriptive statistics of defect area
Item
Calculated value (length unit mm)
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
Confidence Level (95.0%)
0.117076
0.003477
0.094248
0.070686
0.083299
0.006939
3.405565
1.554631
0.55559
0.002827
0.558418
67.20136
574
0.006829
12
Aspect ratio of defect b/a
120%
200
Frequency
Frequency.
150
80%
100
40%
50
0%
0.
19
0. 444
26 4
0. 449 444
33 2
0. 454 754
40 1
0. 458 063
47 9
4 37
0. 637 2
54 6
4 8
0. 68 1
0. 614 599
68 7
0. 478 343
75 2
0. 483 609
82 0
0. 487 918
89 9
0. 492 227
96 7
49 53
75 6
84
5
0
Cumulative frequency
Cumulative %
Aspect ratio b/a
Fig. 12 Statistics distribution of defect aspect ratio, b/a
Table 8 Descriptive statistics of defect aspect ratio, b/a
Item
Calculated value (length unit mm)
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
Confidence Level (95.0%)
0.789424
0.00773
0.784314
1
0.185191
0.034296
-0.48596
-0.50727
0.805556
0.194444
1
453.1292
574
0.015182
13
Eccentricity of defect (mm)
120%
100
Cumulative %
Frequency.
80
80%
60
40
40%
20
24.67173913
21.91521739
19.15869565
16.40217391
13.64565217
10.88913043
8.132608696
5.376086957
2.619565217
-0.136956522
-2.893478261
0%
-5.65
0
Cumulative frequency.
Frequency
Eccentricity (mm)
Fig. 13 Statistics distribution of defect eccentricity. The eccentricity is defined as the
distance from the defect to the plate center. The eccentricity in this report is for the width
direction ( eccentricity _ in _ width = plate _ width / 2 − dis tan ce _ to _ edge ). The eccentricity
in thickness direction is more significant. However, both are assumed to be similar.
Table 9 Descriptive statistics of defect eccentricity
Item
Calculated value (length unit mm)
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
Confidence Level (95.0%)
19.09055
0.251279
20.575
25.5
6.020212
36.24296
2.013013
-1.39143
31.7
-5.65
26.05
10957.98
574
0.49354
14
5. Discussion
This report summarizes the measured defect distribution in the welds of Incoloy 908. It is the
detected defect distribution, not true defect distribution. The true defect distribution may better
be described by the Marshall model: [2]
⎛ b⎞
1
P (b) = exp⎜⎜ − ⎟⎟ ,
(1)
µ
⎝ µ⎠
where b is the half defect depth in x-y plane and µ is the mean depth. The cumulative
distribution of the defect depth is then obtained from the integration of P(b) from 0 to b:
⎛ b⎞
F (b) = 1 − exp⎜⎜ − ⎟⎟ .
(2)
⎝ µ⎠
The different between the true distribution and the measured defect distribution is the undetectability of the material. Apparently, the smaller the defect, the large the un-detectability.
References
[1] Welding of Incoloy 908 CS1 Test Coupons, MIT-PSFC #4500689, AAI #20151, Jon Salkin,
AAI, Sep. 15, 2005.
[2] J. Feng, “Fatigue life estimation for ITER CS conductor jacket by probabilistic fracture
mechanics,” Fus Eng and Des, V. 73, 2005, pp. 357-373.
15
Appendix 1: First defect measurement
Fig. A1 Typical convex welding with extra deposit in 2 different magnifications (A34)
Fig. A2 Typical concave welding with severe lack of fusion in 2 different magnification (A15)
16
Fig. A3 Global view of Bar A by x-ray radiography
17
Fig. A4 Global view of Bar B by x-ray radiography
18
Fig. A5 View of x-ray radiography for the weld A11
Table A1 Defects in weld A11
Defect no.
Type
1
Lack of fusion
2
Pore
3
Pore
4
Pore
5
Pore
6
Pore
7
Pore
8
Pore
9
Pore
10
Pore
11
Pore
12
Pore
13
Pore
14
Pore
15
Pore
16
Pore
17
Pore
18
Pore
19
Pore
20
Pore
21
Pore
22
Pore
Dimension
15mm x 1mm
0.5 mm2
0.2
0.2
0.6
0.4
0.5
0.3
0.3
0.1
0.1
0.1
0.4
0.2
0.3
0.3
0.2
0.3
0.3
0.2
0.2
0.3
19
Location
Center
Right edge
Left edge
Fig. A6 View of x-ray radiography for the weld A15
Table A2 Defects in weld A15
Defect no.
Type
1
Lack of fusion
2
Pore
3
Pore
4
Pore
Dimension
14.3mm x 0.7mm
0.5 mm2
0.3
0.3
Location
Center
Right edge
Fig. A7 View of x-ray radiography for the weld A25
Table A3 Defects in weld A25
Defect no.
Type
1
Pore
2
Pore
3
Pore
4
Pore
5
Pore
6
Pore
7
Pore
Dimension
0.4 mm2
0.2
0.6
0.2
0.2
0.2
0.1
20
Location
Right edge
8
9
10
11
12
13
14
15
16
17
18
19
Pore
Pore
Pore
Pore
Pore
Pore
Pore
Pore
Pore
Pore
Pore
Pore
0.1
0.4
0.3
0.4
0.2
0.2
0.4
0.3
0.2
0.2
0.3
0.4
Left edge
Fig. A8 View of x-ray radiography for the weld B11
Table A4 Defects in weld B11
Defect no.
Type
1
Lack of fusion
2
Pore
3
Pore
4
Pore
5
Pore
6
Pore
7
Pore
8
Pore
9
Pore
Dimension
6.3mm x 1.1mm
0.5 mm2
0.4
0.2
0.2
0.2
0.3
0.2
0.2
21
Location
Center
Right edge
Left edge
Fig. A9 View of x-ray radiography for the weld B15
Table A5 Defects in weld B15
Defect no.
Type
1
Lack of fusion
2
Pore
3
Pore
4
Pore
5
Pore
6
Pore
7
Pore
8
Pore
9
Pore
10
Pore
11
Pore
12
Pore
13
Pore
14
Pore
15
Pore
Dimension
9.2mm x 1.1mm
0.1 mm2
0.1
0.1
0.1
0.2
0.2
0.1
0.2
0.1
0.5
0.1
0.2
0.4
0.2
Fig. A10 View of x-ray radiography for the weld B21
22
Location
Center
Right edge
Left edge
Table A6 Defects in weld B21
Defect no.
Type
1
Lack of fusion
2
Pore
3
Pore
4
Pore
5
Pore
6
Pore
7
Pore
8
Pore
9
Pore
10
Pore
11
Pore
12
Pore
13
Pore
14
Pore
Dimension
5mm x 1.1mm
0.2 mm2
0.1
0.2
0.2
0.3
0.2
0.4
0.1
0.1
0.2
0.2
0.2
0.2
Location
Center
Right edge
Left edge
Fig. A11 View of x-ray radiography for the weld B23
Table A7 Defects in weld B23
Defect no.
Type
1
Pore
2
Pore
3
Pore
4
Pore
Dimension
0.1mm2
0.2
0.6
0.4
23
Location
Right edge
Fig. A12 View of x-ray radiography for the weld B31
Table A8 Defects in weld B31
Defect no.
Type
1
Pore
2
Pore
Dimension
0.1mm2
0.3
Location
Right - center
Appendix 2: Second defect measurement
Total 574 defects are found in the 20 welds. The characteristic parameters for each defect are
measured and listed in the following table.
Table A9 Defect data for the welds
Defect
Long
Short
Weld
No.
axial
axial
No.
A11
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
Distance
to edge
Plate
width
Distance
to center
Defect
area
length,
2a (mm)
length,
2b (mm)
(mm)
(mm)
(mm)
(mm^2)
0.57
0.57
0.36
0.28
0.5
0.36
0.3
0.28
0.32
0.5
0.4
0.6
1
0.9
0.7
0.5
0.4
0.42
0.5
0.14
0.22
0.22
0.28
0.2
0.14
0.22
0.45
0.4
0.4
0.6
0.61
0.5
0.4
0.3
13
12.5
11.4
8.1
7.8
3.7
7.7
3.7
3.4
1
0.7
2
1.1
0.9
0.9
1.1
1.1
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
13.5
14
15.1
18.4
18.7
22.8
18.8
22.8
23.1
25.5
25.8
24.5
25.4
25.6
25.6
25.4
25.4
0.188024
0.223838
0.039584
0.04838
0.086394
0.079168
0.047124
0.030788
0.055292
0.176714
0.125664
0.188495
0.471239
0.431183
0.274889
0.15708
0.094248
24
Aspect
ratio
b/a
0.736842
0.877193
0.388889
0.785714
0.44
0.777778
0.666667
0.5
0.6875
0.9
1
0.666667
0.6
0.677778
0.714286
0.8
0.75
A12
A15
A21
A22
A24
A25
A34
A35
A41
A45
B11
B12
1
1
2
3
1
2
1
2
1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
1
1
2
3
1
2
3
4
5
6
1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
1
0.28
0.5
0.7
0.6
0.45
0.36
0.57
0.64
0.36
0.64
0.63
0.28
0.45
0.63
0.54
0.28
0.51
0.32
0.36
0.36
0.57
0.5
0.36
0.67
0.4
0.2
0.45
0.22
0.22
0.36
0.5
0.58
0.7
0.41
0.28
0.4
0.41
0.2
0.3
0.28
0.67
0.2
0.22
0.5
0.41
0.36
0.36
0.32
0.41
0.5
0.58
0.42
0.28
0.36
0.45
0.36
0.8
0.28
0.5
0.6
0.5
0.32
0.36
0.5
0.57
0.36
0.36
0.54
0.26
0.43
0.5
0.51
0.22
0.4
0.28
0.28
0.28
0.42
0.36
0.28
0.64
0.2
0.2
0.32
0.14
0.22
0.28
0.5
0.36
0.5
0.3
0.28
0.2
0.32
0.2
0.22
0.14
0.5
0.15
0.2
0.36
0.36
0.28
0.22
0.22
0.22
0.36
0.5
0.28
0.28
0.28
0.36
0.36
0.6
3
2
3.5
2.1
2.3
1.1
4
2
1.6
4.9
1.6
0.9
6.3
5.3
3.6
3.8
1.91
1.8
1.9
2.7
1.2
3.8
4.1
2.6
4.2
6.9
7.1
13.6
12.7
4.5
1.9
4.21
2.6
7.5
4.2
8.9
0.8
5
5.6
10.2
12.11
9.5
10.6
1.3
1.4
2.3
2
1.5
1.1
8.3
5.5
4.5
4
3.4
25
27.3
1.1
25
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
38.4
38.4
38.4
38.4
38.3
38.3
38.3
38.3
38.3
38.3
38.3
53.1
53.1
53.1
53.1
53.1
53.1
53.1
53.1
53.1
53.1
53.1
53.1
53.1
53.1
53.1
53.1
53.1
23.5
24.5
23
24.4
24.2
25.4
22.5
24.5
24.9
21.6
24.9
25.6
20.2
21.2
22.9
22.7
24.59
24.7
24.6
23.8
25.3
22.7
22.4
23.9
22.3
19.6
19.4
12.9
13.8
14.7
17.3
14.99
16.6
11.65
14.95
10.25
18.35
14.15
13.55
8.95
14.44
17.05
15.95
25.25
25.15
24.25
24.55
25.05
25.45
18.25
21.05
22.05
22.55
23.15
1.55
-0.75
25.45
0.061575
0.196349
0.329867
0.235619
0.113097
0.101788
0.223838
0.286513
0.101788
0.180956
0.267192
0.057177
0.151974
0.2474
0.216298
0.04838
0.160221
0.070372
0.079168
0.079168
0.188024
0.141372
0.079168
0.336778
0.062832
0.031416
0.113097
0.02419
0.038013
0.079168
0.196349
0.163991
0.274889
0.096604
0.061575
0.062832
0.103044
0.031416
0.051836
0.030788
0.263108
0.023562
0.034557
0.141372
0.115925
0.079168
0.062203
0.055292
0.070843
0.141372
0.227765
0.092363
0.061575
0.079168
0.127234
0.101788
0.376991
1
1
0.857143
0.833333
0.711111
1
0.877193
0.890625
1
0.5625
0.857143
0.928571
0.955556
0.793651
0.944444
0.785714
0.784314
0.875
0.777778
0.777778
0.736842
0.72
0.777778
0.955224
0.5
1
0.711111
0.636364
1
0.777778
1
0.62069
0.714286
0.731707
1
0.5
0.780488
1
0.733333
0.5
0.746269
0.75
0.909091
0.72
0.878049
0.777778
0.611111
0.6875
0.536585
0.72
0.862069
0.666667
1
0.777778
0.8
1
0.75
B13
B14
B15
B21
B22
B23
B24
B25
2
3
1
2
3
4
1
2
3
4
5
6
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
1
2
3
4
5
6
1
2
3
1
2
3
4
1
0.54
0.5
0.78
0.42
0.36
0.28
0.5
0.42
0.32
0.36
0.32
0.41
0.3
0.41
0.3
0.54
0.32
0.3
0.22
0.32
0.4
0.32
0.45
0.3
0.42
0.36
0.5
0.5
0.32
0.63
0.41
0.4
0.28
0.36
0.2
0.4
0.42
0.3
0.6
0.51
0.1
0.2
0.41
0.61
0.4
0.4
0.41
0.57
0.64
0.5
0.4
0.41
1.55
1.58
0.64
0.2
0.5
0.45
0.4
0.58
0.42
0.36
0.16
0.36
0.36
0.28
0.28
0.22
0.32
0.2
0.36
0.15
0.51
0.22
0.3
0.2
0.32
0.4
0.14
0.41
0.22
0.36
0.36
0.5
0.41
0.22
0.57
0.41
0.3
0.22
0.22
0.2
0.4
0.42
0.2
0.6
0.4
0.1
0.15
0.32
0.54
0.32
0.3
0.41
0.36
0.58
0.36
0.3
0.4
0.32
0.45
0.5
0.2
0.5
4.3
1.4
3.4
2.1
9.7
7.3
15.4
10.3
6.5
4.6
3.1
3.4
1.31
2.3
3.2
4.9
7.9
4.8
4.3
5.6
4.7
3.3
12.9
8.1
4.2
4.3
3.2
18.6
5.8
5.1
4.1
3.3
3.21
2.2
1.5
1.7
0.9
1.7
0.7
2.8
5.9
8.3
9.4
4.5
12.8
10.9
10.8
7.2
5.1
1
1.3
4.7
7.1
5.6
2.4
4.5
0.8
26
53.1
53.1
53.1
53.1
53.1
53.1
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
52.81
22.25
25.15
23.15
24.45
16.85
19.25
11.1
16.2
20
21.9
23.4
23.1
25.19
24.2
23.3
21.6
18.6
21.7
22.2
20.9
21.8
23.2
13.6
18.4
22.3
22.2
23.3
7.9
20.7
21.4
22.4
23.2
23.29
24.3
25
24.8
25.6
24.8
25.8
23.7
20.6
18.2
17.1
22
13.7
15.6
15.7
19.3
21.4
25.5
25.2
21.8
19.4
20.9
24.1
22
25.605
0.190852
0.15708
0.355314
0.138544
0.101788
0.035186
0.141372
0.118752
0.070372
0.079168
0.055292
0.103044
0.047124
0.115925
0.035343
0.216298
0.055292
0.070686
0.034557
0.080425
0.125664
0.035186
0.144906
0.051836
0.118752
0.101788
0.196349
0.161006
0.055292
0.282036
0.132025
0.094248
0.04838
0.062203
0.031416
0.125664
0.138544
0.047124
0.282743
0.160221
0.007854
0.023562
0.103044
0.25871
0.100531
0.094248
0.132025
0.161164
0.29154
0.141372
0.094248
0.128805
0.389557
0.558418
0.251327
0.031416
0.196349
0.833333
0.8
0.74359
1
1
0.571429
0.72
0.857143
0.875
0.777778
0.6875
0.780488
0.666667
0.878049
0.5
0.944444
0.6875
1
0.909091
1
1
0.4375
0.911111
0.733333
0.857143
1
1
0.82
0.6875
0.904762
1
0.75
0.785714
0.611111
1
1
1
0.666667
1
0.784314
1
0.75
0.780488
0.885246
0.8
0.75
1
0.631579
0.90625
0.72
0.75
0.97561
0.206452
0.28481
0.78125
1
1
B31
B32
B34
B35
B41
B42
B45
C11
C12
C13
C14
2
3
4
5
6
7
8
9
1
2
1
1
1
2
3
1
2
3
1
1
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
10
1
2
3
4
5
6
7
8
9
10
1
2
3
4
5
6
7
8
0.5
0.5
0.51
0.45
0.4
0.41
0.41
0.5
0.5
0.4
0.5
0.54
0.5
0.6
0.45
0.5
0.51
0.54
0.6
0.5
0.45
0.6
0.5
0.3
0.3
0.51
0.41
0.22
0.3
0.32
0.36
0.14
0.32
0.51
0.2
0.3
0.3
0.63
0.32
0.32
0.4
0.2
0.61
0.41
0.71
0.8
0.41
0.5
0.71
0.71
0.81
0.54
0.4
0.5
0.32
0.51
0.41
0.41
0.3
0.4
0.22
0.4
0.22
0.36
0.5
0.5
0.3
0.4
0.45
0.2
0.4
0.32
0.45
0.45
0.22
0.4
0.36
0.28
0.4
0.42
0.22
0.3
0.36
0.36
0.2
0.22
0.32
0.36
0.14
0.14
0.51
0.1
0.1
0.2
0.32
0.32
0.28
0.2
0.2
0.6
0.22
0.6
0.5
0.32
0.4
0.36
0.51
0.5
0.36
0.2
0.36
0.22
0.5
0.22
6.4
0.7
3
8.5
1.4
6.9
4.8
2.8
14.9
5.3
7.8
5.1
2.5
2.5
3.4
1.9
4.1
20.9
1.7
1.1
1.6
0.9
9
15.9
20.1
13.6
11.7
7.2
3.2
14.1
12.5
10.2
8.9
5.2
3.5
0.7
2.7
1.3
4
0.8
2.6
1.5
3
26.3
32
0.7
1
1.7
0.3
0.8
2.6
4.5
0.8
1.1
2.4
3.5
0.8
27
52.81
52.81
52.81
52.81
52.81
52.81
52.81
52.81
38.7
38.7
38.9
38.8
39.1
39.1
39.1
39
39
39
39
39
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
20.005
25.705
23.405
17.905
25.005
19.505
21.605
23.605
4.45
14.05
11.65
14.3
17.05
17.05
16.15
17.6
15.4
-1.4
17.8
18.4
24.8
25.5
17.4
10.5
6.3
12.8
14.7
19.2
23.2
12.3
13.9
16.2
17.5
21.2
22.9
25.7
23.7
25.1
22.4
25.55
23.75
24.85
23.35
0.05
-5.65
25.65
25.35
24.65
26.05
25.6
23.8
21.9
25.6
25.3
24
22.9
25.6
0.161006
0.11781
0.160221
0.077754
0.125664
0.070843
0.115925
0.196349
0.196349
0.094248
0.15708
0.190852
0.07854
0.188495
0.113097
0.176714
0.180249
0.093305
0.188495
0.141372
0.09896
0.188495
0.164933
0.051836
0.070686
0.144199
0.115925
0.034557
0.051836
0.080425
0.101788
0.015394
0.035186
0.204282
0.015708
0.023562
0.047124
0.158336
0.080425
0.070372
0.062832
0.031416
0.287455
0.070843
0.334579
0.314159
0.103044
0.15708
0.200748
0.284392
0.318086
0.152681
0.062832
0.141372
0.055292
0.200276
0.070843
0.82
0.6
0.784314
0.488889
1
0.536585
0.878049
1
1
0.75
0.8
0.833333
0.4
0.666667
0.711111
0.9
0.882353
0.407407
0.666667
0.72
0.622222
0.666667
0.84
0.733333
1
0.705882
0.878049
0.909091
0.733333
1
1
1
0.4375
1
0.5
0.333333
0.666667
0.507937
1
0.875
0.5
1
0.983607
0.536585
0.84507
0.625
0.780488
0.8
0.507042
0.71831
0.617284
0.666667
0.5
0.72
0.6875
0.980392
0.536585
C15
C21
9
10
11
12
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
1
2
3
4
5
6
7
8
9
10
11
0.22
0.32
0.22
0.63
0.8
0.5
0.6
0.2
0.1
0.5
0.32
0.4
0.32
0.45
0.51
0.1
0.08
0.06
0.5
0.7
0.3
0.81
0.32
0.41
0.95
0.4
0.32
0.7
0.41
0.4
0.1
0.2
0.4
0.1
0.45
0.22
0.5
0.3
0.4
0.6
0.4
0.6
0.5
0.4
0.42
0.5
0.5
0.8
0.6
0.7
0.4
0.2
0.61
0.54
0.6
0.78
0.3
0.2
0.22
0.2
0.57
0.5
0.5
0.5
0.1
0.1
0.5
0.22
0.2
0.2
0.22
0.41
0.1
0.08
0.06
0.2
0.3
0.12
0.63
0.22
0.3
0.22
0.4
0.22
0.6
0.36
0.4
0.1
0.2
0.4
0.1
0.14
0.14
0.4
0.2
0.3
0.5
0.3
0.3
0.4
0.4
0.28
0.3
0.36
0.64
0.5
0.45
0.4
0.2
0.36
0.42
0.4
0.5
0.2
2.2
4.9
4.2
3.2
14.4
10.9
8.4
7.6
7.3
5.4
4.5
3.4
3.1
0.8
1
0.8
0.8
0.8
2.3
0.8
1.2
2.8
4.1
2.9
7.4
5.9
5.6
3.2
5.9
6.6
7.2
3.9
4.4
5.3
5.6
6.4
8.6
21.3
22.2
23
26.3
27.7
2.8
3.2
3.1
4.9
2
7
9
7
9.2
2.7
4.2
4.3
5.3
6.5
10.4
28
52.8
52.8
52.8
52.8
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
53
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
24.2
21.5
22.2
23.2
12.1
15.6
18.1
18.9
19.2
21.1
22
23.1
23.4
25.7
25.5
25.7
25.7
25.7
24.2
25.7
25.3
23.7
22.4
23.6
19.1
20.6
20.9
23.3
20.6
19.9
19.3
22.6
22.1
21.2
20.9
20.1
17.9
5.2
4.3
3.5
0.2
-1.2
23.7
23.3
23.4
21.6
24.35
19.35
17.35
19.35
17.15
23.65
22.15
22.05
21.05
19.85
15.95
0.034557
0.055292
0.034557
0.282036
0.314159
0.196349
0.235619
0.015708
0.007854
0.196349
0.055292
0.062832
0.050265
0.077754
0.164227
0.007854
0.005027
0.002827
0.07854
0.164933
0.028274
0.400788
0.055292
0.096604
0.164148
0.125664
0.055292
0.329867
0.115925
0.125664
0.007854
0.031416
0.125664
0.007854
0.04948
0.02419
0.15708
0.047124
0.094248
0.235619
0.094248
0.141372
0.15708
0.125664
0.092363
0.11781
0.141372
0.402124
0.235619
0.2474
0.125664
0.031416
0.172473
0.178128
0.188495
0.306305
0.047124
0.909091
0.6875
0.909091
0.904762
0.625
1
0.833333
0.5
1
1
0.6875
0.5
0.625
0.488889
0.803922
1
1
1
0.4
0.428571
0.4
0.777778
0.6875
0.731707
0.231579
1
0.6875
0.857143
0.878049
1
1
1
1
1
0.311111
0.636364
0.8
0.666667
0.75
0.833333
0.75
0.5
0.8
1
0.666667
0.6
0.72
0.8
0.833333
0.642857
1
1
0.590164
0.777778
0.666667
0.641026
0.666667
C22
C23
C24
12
13
14
15
16
17
18
19
20
21
22
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
1
2
3
4
5
6
7
0.4
0.41
0.3
0.4
0.4
0.5
0.5
0.45
0.3
0.5
0.7
0.3
0.58
0.22
0.4
0.67
0.61
0.41
0.81
0.6
0.2
0.22
0.32
0.2
0.41
0.51
0.41
0.45
0.5
0.51
0.41
0.4
0.3
0.28
0.5
0.63
0.61
0.2
0.36
0.41
0.22
0.1
0.41
0.4
0.4
0.6
0.2
0.4
0.6
0.4
0.4
0.2
0.6
0.54
0.28
0.45
0.41
0.3
0.32
0.2
0.4
0.3
0.4
0.5
0.28
0.2
0.4
0.3
0.2
0.36
0.22
0.3
0.45
0.4
0.36
0.54
0.5
0.2
0.2
0.25
0.2
0.32
0.51
0.3
0.14
0.5
0.51
0.32
0.4
0.2
0.14
0.5
0.25
0.41
0.2
0.14
0.32
0.22
0.1
0.28
0.3
0.4
0.6
0.2
0.2
0.4
0.3
0.4
0.2
0.4
0.32
0.22
0.32
0.36
5.6
3.9
2.4
1
6.7
2.4
0.7
4.8
2.6
1.2
2.1
1.6
3.9
7
10
0.8
1.8
2.9
4.4
0.8
0.6
1.8
3.6
7.2
8.91
8.3
10.5
0.8
1.1
2
1.9
3.8
6
6.3
1.3
2.1
2.6
3.8
5
6.9
15.7
15.5
8.1
2.5
2.1
1.9
3
2.4
2.9
3.6
1.8
2.2
3.3
5.4
13.5
13.1
1.7
29
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.6
52.6
52.6
52.6
52.6
52.6
52.6
20.75
22.45
23.95
25.35
19.65
23.95
25.65
21.55
23.75
25.15
24.25
24.7
22.4
19.3
16.3
25.5
24.5
23.4
21.9
25.5
25.7
24.5
22.7
19.1
17.39
18
15.8
25.5
25.2
24.3
24.45
22.55
20.35
20.05
25.05
24.25
23.75
22.55
21.35
19.45
10.65
10.85
18.25
23.85
24.25
24.45
23.35
23.95
23.45
22.75
24.5
24.1
23
20.9
12.8
13.2
24.6
0.094248
0.103044
0.047124
0.125664
0.094248
0.15708
0.196349
0.09896
0.047124
0.15708
0.164933
0.047124
0.163991
0.038013
0.094248
0.236797
0.191637
0.115925
0.343533
0.235619
0.031416
0.034557
0.062832
0.031416
0.103044
0.204282
0.096604
0.04948
0.196349
0.204282
0.103044
0.125664
0.047124
0.030788
0.196349
0.1237
0.196428
0.031416
0.039584
0.103044
0.038013
0.007854
0.090164
0.094248
0.125664
0.282743
0.031416
0.062832
0.188495
0.094248
0.125664
0.031416
0.188495
0.135717
0.04838
0.113097
0.115925
0.75
0.780488
0.666667
1
0.75
0.8
1
0.622222
0.666667
0.8
0.428571
0.666667
0.62069
1
0.75
0.671642
0.655738
0.878049
0.666667
0.833333
1
0.909091
0.78125
1
0.780488
1
0.731707
0.311111
1
1
0.780488
1
0.666667
0.5
1
0.396825
0.672131
1
0.388889
0.780488
1
1
0.682927
0.75
1
1
1
0.5
0.666667
0.75
1
1
0.666667
0.592593
0.785714
0.711111
0.878049
C25
C31
C32
C33
C34
C35
C41
C42
C43
8
9
10
11
12
13
14
15
16
17
18
19
1
2
3
4
5
6
7
8
1
2
3
4
5
1
1
2
3
1
2
3
4
5
1
2
3
4
5
1
2
1
2
3
4
5
1
2
3
4
5
6
7
8
9
10
11
0.3
0.45
0.85
0.67
0.42
0.45
0.6
0.3
0.22
0.3
0.2
0.4
0.72
0.3
0.32
0.4
0.5
0.5
0.5
0.67
0.28
0.64
0.28
0.5
0.71
0.51
0.42
0.36
0.28
0.6
0.5
0.4
0.3
0.2
0.61
0.3
0.5
0.61
0.51
0.22
0.58
0.36
0.7
0.5
0.7
0.5
0.3
0.6
0.3
0.1
0.1
0.3
0.3
0.3
0.6
0.2
0.5
0.14
0.22
0.54
0.32
0.22
0.36
0.4
0.3
0.22
0.22
0.2
0.22
0.14
0.3
0.3
0.3
0.3
0.2
0.3
0.36
0.14
0.36
0.14
0.32
0.3
0.32
0.28
0.22
0.28
0.4
0.4
0.2
0.22
0.15
0.61
0.25
0.28
0.61
0.4
0.14
0.36
0.28
0.6
0.4
0.6
0.5
0.3
0.35
0.3
0.1
0.1
0.3
0.1
0.3
0.6
0.2
0.3
5.5
7.3
0.9
1
0.8
0.6
0.8
0.62
0.61
0.8
2.9
6.8
7.5
6.9
3.7
4
3.2
5.6
2.8
2.3
0.7
0.9
4.8
5.6
1.2
6.1
2.6
8.1
8.6
5.7
5.4
6.8
10.4
6.7
3.4
3.4
3.6
0.8
0.7
7.6
10.8
4.3
7
9.1
13.2
14.1
0.7
0.8
3.1
4.2
4.3
6.7
9.7
11.6
7.9
0.8
0.7
30
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
37.9
37.9
37.9
37.9
37.9
39.1
38.9
38.9
38.9
38.7
38.7
38.7
38.7
38.7
38.5
38.5
38.5
38.5
38.5
37.7
37.7
38.2
38.2
38.2
38.2
38.2
38.8
38.8
38.8
38.8
38.8
38.8
38.8
38.8
38.8
38.8
38.8
20.8
19
25.4
25.3
25.5
25.7
25.5
25.68
25.69
25.5
23.4
19.5
18.85
19.45
22.65
22.35
23.15
20.75
23.55
24.05
18.25
18.05
14.15
13.35
17.75
13.45
16.85
11.35
10.85
13.65
13.95
12.55
8.95
12.65
15.85
15.85
15.65
18.45
18.55
11.25
8.05
14.8
12.1
10
5.9
5
18.7
18.6
16.3
15.2
15.1
12.7
9.7
7.8
11.5
18.6
18.7
0.032987
0.077754
0.360497
0.168389
0.072571
0.127234
0.188495
0.070686
0.038013
0.051836
0.031416
0.069115
0.079168
0.070686
0.075398
0.094248
0.11781
0.07854
0.11781
0.189438
0.030788
0.180956
0.030788
0.125664
0.16729
0.128177
0.092363
0.062203
0.061575
0.188495
0.15708
0.062832
0.051836
0.023562
0.292246
0.058905
0.109956
0.292246
0.160221
0.02419
0.163991
0.079168
0.329867
0.15708
0.329867
0.196349
0.070686
0.164933
0.070686
0.007854
0.007854
0.070686
0.023562
0.070686
0.282743
0.031416
0.11781
0.466667
0.488889
0.635294
0.477612
0.52381
0.8
0.666667
1
1
0.733333
1
0.55
0.194444
1
0.9375
0.75
0.6
0.4
0.6
0.537313
0.5
0.5625
0.5
0.64
0.422535
0.627451
0.666667
0.611111
1
0.666667
0.8
0.5
0.733333
0.75
1
0.833333
0.56
1
0.784314
0.636364
0.62069
0.777778
0.857143
0.8
0.857143
1
1
0.583333
1
1
1
1
0.333333
1
1
1
0.6
C44
C45
D12
D13
D14
D15
D21
D22
1
2
3
4
5
6
7
8
9
10
1
2
3
4
1
2
3
4
5
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
1
2
3
4
1
2
3
4
5
6
7
8
1
2
3
4
5
6
1
2
0.4
0.5
0.2
0.2
0.5
0.67
0.41
0.4
0.32
0.15
0.4
0.2
0.4
0.2
0.5
0.45
0.4
0.45
0.2
0.32
0.5
0.22
0.4
0.5
0.3
0.22
0.3
0.5
0.32
0.5
0.32
0.5
0.36
0.4
0.4
0.45
0.4
0.3
0.3
0.5
0.1
0.51
0.32
0.3
0.51
0.36
0.3
0.2
0.22
0.51
0.5
0.3
0.3
0.42
0.36
0.4
0.5
0.4
0.3
0.15
0.2
0.22
0.28
0.3
0.3
0.3
0.1
0.3
0.2
0.4
0.1
0.3
0.28
0.4
0.22
0.2
0.32
0.28
0.15
0.4
0.5
0.25
0.15
0.3
0.32
0.15
0.36
0.28
0.5
0.28
0.35
0.2
0.36
0.4
0.3
0.3
0.36
0.1
0.41
0.22
0.3
0.22
0.36
0.3
0.2
0.15
0.36
0.4
0.3
0.3
0.22
0.28
0.22
0.22
1.3
1.4
14.5
16.7
18.7
20.6
18.7
0.8
0.9
0.8
1.1
2
6.8
5.3
0.8
2.6
2.8
4.2
1.3
1.9
1.9
3.1
2.2
2.8
4
4.6
4.9
4
4.7
4
4.6
2.8
6
7.4
8
9.6
10.4
1.2
1.7
2.8
2
2
2.7
2.9
5.4
4.9
14.3
18.2
19.7
1.4
1.6
2.5
6.8
8.1
9.1
1.2
2.2
31
38.7
38.7
38.7
38.7
38.7
38.7
38.7
38.7
38.7
38.7
38.5
38.5
38.5
38.5
38.9
38.9
38.9
38.9
38.9
39.6
39.6
39.6
39.6
39.6
39.6
39.6
39.6
39.6
39.6
39.6
39.6
39.6
39.6
39.6
39.6
39.6
39.6
39.5
39.5
39.5
39.5
38.81
38.81
38.81
38.81
38.81
38.81
38.81
38.81
38
38
38
38
38
38
38.5
38.5
18.05
17.95
4.85
2.65
0.65
-1.25
0.65
18.55
18.45
18.55
18.15
17.25
12.45
13.95
18.65
16.85
16.65
15.25
18.15
17.9
17.9
16.7
17.6
17
15.8
15.2
14.9
15.8
15.1
15.8
15.2
17
13.8
12.4
11.8
10.2
9.4
18.55
18.05
16.95
17.75
17.405
16.705
16.505
14.005
14.505
5.105
1.205
-0.295
17.6
17.4
16.5
12.2
10.9
9.9
18.05
17.05
0.125664
0.11781
0.023562
0.031416
0.086394
0.147341
0.096604
0.094248
0.075398
0.011781
0.094248
0.031416
0.125664
0.015708
0.11781
0.09896
0.125664
0.077754
0.031416
0.080425
0.109956
0.025918
0.125664
0.196349
0.058905
0.025918
0.070686
0.125664
0.037699
0.141372
0.070372
0.196349
0.079168
0.109956
0.062832
0.127234
0.125664
0.070686
0.070686
0.141372
0.007854
0.164227
0.055292
0.070686
0.088122
0.101788
0.070686
0.031416
0.025918
0.144199
0.15708
0.070686
0.070686
0.072571
0.079168
0.069115
0.086394
1
0.6
0.75
1
0.44
0.41791
0.731707
0.75
0.9375
0.666667
0.75
1
1
0.5
0.6
0.622222
1
0.488889
1
1
0.56
0.681818
1
1
0.833333
0.681818
1
0.64
0.46875
0.72
0.875
1
0.777778
0.875
0.5
0.8
1
1
1
0.72
1
0.803922
0.6875
1
0.431373
1
1
1
0.681818
0.705882
0.8
1
1
0.52381
0.777778
0.55
0.44
D23
D24
D25
D31
D32
D33
3
1
2
3
4
5
6
7
8
1
2
3
4
5
6
7
8
1
2
3
4
1
2
3
4
5
6
7
8
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
1
2
3
4
5
6
7
8
9
10
11
12
0.42
0.36
0.36
0.45
0.42
0.3
0.22
0.22
0.3
0.4
0.4
0.4
0.35
0.5
0.6
0.2
0.4
0.5
0.41
0.5
0.5
0.41
0.4
0.2
0.6
0.5
0.4
0.6
0.2
0.3
0.73
0.3
0.36
0.61
0.2
0.5
0.3
0.4
0.35
0.32
0.3
0.3
0.5
0.41
0.6
0.42
0.45
0.3
0.3
0.32
0.3
0.3
0.45
0.3
0.4
0.4
0.41
0.22
0.22
0.36
0.36
0.36
0.3
0.15
0.22
0.15
0.3
0.4
0.4
0.3
0.4
0.3
0.2
0.4
0.4
0.28
0.41
0.5
0.32
0.4
0.15
0.6
0.32
0.3
0.4
0.15
0.25
0.51
0.3
0.32
0.5
0.1
0.36
0.3
0.3
0.3
0.3
0.3
0.3
0.32
0.41
0.6
0.36
0.45
0.25
0.3
0.32
0.15
0.3
0.36
0.3
0.22
0.4
0.28
4.3
6.1
5
4.6
2.8
1.8
1.5
1.7
1.7
2.2
2.9
6.7
7.9
13.4
13.1
3.9
0.9
2.6
4.7
20.4
22.1
4.2
6.7
9.6
12.3
8.8
8.1
3.3
1.5
0.8
2.5
2.4
3.8
3.1
4.4
5.6
7.3
7.7
9.8
11
13
10.3
4.4
0.9
0.8
3.2
3.6
3.8
4.5
9.7
21.1
22.9
24.3
22.1
7.5
3.81
2.6
32
38.5
39
39
39
39
39
39
39
39
39.1
39.1
39.1
39.1
39.1
39.1
39.1
39.1
38.3
38.3
38.3
38.3
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.8
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.5
52.5
52.5
52.5
52.5
52.5
52.5
52.5
52.5
52.5
52.5
52.5
14.95
13.4
14.5
14.9
16.7
17.7
18
17.8
17.8
17.35
16.65
12.85
11.65
6.15
6.45
15.65
18.65
16.55
14.45
-1.25
-2.95
22.2
19.7
16.8
14.1
17.6
18.3
23.1
24.9
25.5
23.8
23.9
22.5
23.2
21.9
20.7
19
18.6
16.5
15.3
13.3
16
21.9
25.4
25.5
23.05
22.65
22.45
21.75
16.55
5.15
3.35
1.95
4.15
18.75
22.44
23.65
0.072571
0.062203
0.101788
0.127234
0.118752
0.070686
0.025918
0.038013
0.035343
0.094248
0.125664
0.125664
0.082467
0.15708
0.141372
0.031416
0.125664
0.15708
0.090164
0.161006
0.196349
0.103044
0.125664
0.023562
0.282743
0.125664
0.094248
0.188495
0.023562
0.058905
0.292403
0.070686
0.090478
0.239546
0.015708
0.141372
0.070686
0.094248
0.082467
0.075398
0.070686
0.070686
0.125664
0.132025
0.282743
0.118752
0.159043
0.058905
0.070686
0.080425
0.035343
0.070686
0.127234
0.070686
0.069115
0.125664
0.090164
0.52381
0.611111
1
0.8
0.857143
1
0.681818
1
0.5
0.75
1
1
0.857143
0.8
0.5
1
1
0.8
0.682927
0.82
1
0.780488
1
0.75
1
0.64
0.75
0.666667
0.75
0.833333
0.69863
1
0.888889
0.819672
0.5
0.72
1
0.75
0.857143
0.9375
1
1
0.64
1
1
0.857143
1
0.833333
1
1
0.5
1
0.8
1
0.55
1
0.682927
D34
D35
D41
D42
D43
1
2
3
4
5
6
7
8
9
1
2
3
1
2
3
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
0.7
0.8
0.8
0.5
0.4
0.36
0.4
0.36
0.4
0.54
0.3
0.5
0.3
0.1
0.14
0.7
0.4
0.3
0.3
0.4
0.3
0.3
0.4
0.4
0.41
0.32
0.4
0.4
0.5
0.5
0.32
0.5
0.32
0.6
0.3
0.4
0.3
0.4
0.4
0.3
0.41
0.3
0.2
0.58
0.45
0.5
0.4
0.32
0.36
0.2
0.6
0.41
0.3
0.4
0.36
0.3
0.22
0.4
0.7
0.8
0.5
0.3
0.22
0.3
0.2
0.3
0.3
0.3
0.5
0.2
0.1
0.1
0.4
0.35
0.3
0.3
0.4
0.3
0.2
0.4
0.4
0.41
0.15
0.4
0.3
0.5
0.4
0.2
0.5
0.32
0.5
0.3
0.3
0.3
0.3
0.3
0.3
0.2
0.2
0.15
0.5
0.3
0.45
0.4
0.3
0.3
0.2
0.5
0.3
0.3
0.4
0.2
0.3
0.2
2.1
3.4
3.7
2.2
2.6
1.6
2.8
3
6.1
5.1
10
10.1
5.6
7.2
8.7
0.7
1.4
2.5
0.7
1.4
2.9
9.4
8.3
7.3
5.6
6
3.7
2.9
2
1.1
16.8
11.3
11.2
9.6
9.4
8.7
8.1
7.9
6.5
5.7
6.2
5.1
6.1
6.2
5.3
5.8
3.8
3.2
3.8
3.2
3.1
2.2
4.1
3.4
2
0.7
1.2
33
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.6
52.8
52.8
52.8
53.1
53.1
53.1
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.7
24.2
22.9
22.6
24.1
23.7
24.7
23.5
23.3
20.2
21.3
16.4
16.3
20.95
19.35
17.85
25.75
25.05
23.95
25.75
25.05
23.55
17.05
18.15
19.15
20.85
20.45
22.75
23.55
24.45
25.35
9.55
15.05
15.15
16.75
16.95
17.65
18.25
18.45
19.85
20.65
20.15
21.25
20.25
20.15
21.05
20.55
22.55
23.15
22.55
23.15
23.25
24.15
22.25
22.95
24.35
25.65
25.15
0.219911
0.439823
0.502654
0.196349
0.094248
0.062203
0.094248
0.056549
0.094248
0.127234
0.070686
0.196349
0.047124
0.007854
0.010996
0.219911
0.109956
0.070686
0.070686
0.125664
0.070686
0.047124
0.125664
0.125664
0.132025
0.037699
0.125664
0.094248
0.196349
0.15708
0.050265
0.196349
0.080425
0.235619
0.070686
0.094248
0.070686
0.094248
0.094248
0.070686
0.064403
0.047124
0.023562
0.227765
0.106029
0.176714
0.125664
0.075398
0.084823
0.031416
0.235619
0.096604
0.070686
0.125664
0.056549
0.070686
0.034557
0.571429
0.875
1
1
0.75
0.611111
0.75
0.555556
0.75
0.555556
1
1
0.666667
1
0.714286
0.571429
0.875
1
1
1
1
0.666667
1
1
1
0.46875
1
0.75
1
0.8
0.625
1
1
0.833333
1
0.75
1
0.75
0.75
1
0.487805
0.666667
0.75
0.862069
0.666667
0.9
1
0.9375
0.833333
1
0.833333
0.731707
1
1
0.555556
1
0.909091
D44
D45
28
29
30
31
32
33
34
1
2
3
4
5
6
7
8
9
10
11
12
13
14
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
0.41
0.3
0.3
0.4
0.4
0.4
0.36
0.5
0.4
0.32
0.3
0.2
0.3
0.3
0.4
0.41
0.41
0.4
0.32
0.51
0.5
0.54
0.22
0.3
0.41
0.4
0.3
0.3
0.4
0.32
0.28
0.42
0.3
0.4
0.2
0.3
0.2
0.3
0.7
0.5
0.2
0.2
0.5
0.5
0.41
0.2
0.2
0.2
0.4
0.3
0.3
0.4
0.4
0.2
0.3
0.2
0.3
0.3
0.3
0.3
0.4
0.4
0.25
0.4
0.4
0.4
0.15
0.3
0.41
0.4
0.3
0.3
0.3
0.2
0.2
0.3
0.3
0.3
0.1
0.3
0.2
0.3
0.4
0.5
0.15
0.2
0.4
0.5
24.5
1.2
1.6
2.1
3.4
11.4
13.4
0.6
0.71
1.2
4
5.1
8.3
19.7
8.6
5.4
8.4
7.3
6.2
5.9
3.5
0.8
1.5
5.1
1.2
4.1
0.8
26.2
22.8
18.1
14.3
12.7
8.1
8.3
7.8
7.9
7
7
5.7
5.2
5.6
6.2
3.6
1.9
34
52.7
52.7
52.7
52.7
52.7
52.7
52.7
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
52.9
1.85
25.15
24.75
24.25
22.95
14.95
12.95
25.85
25.74
25.25
22.45
21.35
18.15
6.75
17.85
21.05
18.05
19.15
20.25
20.55
22.95
25.65
24.95
21.35
25.25
22.35
25.65
0.25
3.65
8.35
12.15
13.75
18.35
18.15
18.65
18.55
19.45
19.45
20.75
21.25
20.85
20.25
22.85
24.55
0.132025
0.047124
0.047124
0.062832
0.125664
0.094248
0.084823
0.15708
0.125664
0.050265
0.070686
0.031416
0.070686
0.070686
0.094248
0.096604
0.128805
0.125664
0.062832
0.160221
0.15708
0.169646
0.025918
0.070686
0.132025
0.125664
0.070686
0.070686
0.094248
0.050265
0.043982
0.09896
0.070686
0.094248
0.015708
0.070686
0.031416
0.070686
0.219911
0.196349
0.023562
0.031416
0.15708
0.196349
1
0.666667
0.666667
0.5
1
0.75
0.833333
0.8
1
0.625
1
1
1
1
0.75
0.731707
0.97561
1
0.78125
0.784314
0.8
0.740741
0.681818
1
1
1
1
1
0.75
0.625
0.714286
0.714286
1
0.75
0.5
1
1
1
0.571429
1
0.75
1
0.8
1