2
0
2011
ber
pav
0
journal
Original
Bernatova, S.[Svatoslava]
Pavlicek, J.[Jan]
Wichterle, I.[Ivan]
J. Chem. Eng. Data
2011
2020-09-29
Isothermal Vapor-Liquid Equilibria in the Two Binary and the Ternary Systems Composed of tert-Amyl Methyl Ether, tert-Butanol, and Isooctane
Vapor-liquid equilibrium (VLE) data in the two binary methyl 2-methyl-2-butyl ether (tert-amyl methyl ether, TAME) + 2-methyl-2-propanol (tert-butanol) and TAME + 2,2,4-trimethylpentane (isooctane) systems and in the ternary TAME + tert-butanol + isooctane system are reported. The data were measured isothermally at (318.13, 328.20, and 338.28) K covering the pressure range from (15 to 51) kPa. The binary VLE data were correlated using the Wilson and nonrandom two-liquid (NRTL) equations by means of a new algorithm; resulting parameters were then used for the calculation of phase behavior in the ternary system and for subsequent comparison with experimental data.
Vapor liquid equilibrium
Experimental data
Prediction
Ether
Alcohol
Hydrocarbon
10.1021/je901026b
4
56
783-788
1
InChI=1S/C6H14O/c1-5-6(2,3)7-4/h5H2,1-4H3
HVZJRWJGKQPSFL-UHFFFAOYSA-N
2-methoxy-2-methylbutane
1,1-dimethylpropyl methyl ether
methyl 1,1-dimethylpropyl ether
methyl tert-amyl ether
methyl tert-pentyl ether
tert-amyl methyl ether
tert-pentyl methyl ether
C6H14O
1
Commercial source
1
97
2
Stated by supplier
2
Dried by oven heating
3
99.64
4
Gas chromatography
2
InChI=1S/C4H10O/c1-4(2,3)5/h5H,1-3H3
DKGAVHZHDRPRBM-UHFFFAOYSA-N
2-methylpropan-2-ol
2-methyl-2-propanol
tert-butanol
tert-butyl alcohol
C4H10O
1
Commercial source
1
99.7
3
Stated by supplier
2
Dried by oven heating
3
99.59
4
Gas chromatography
3
InChI=1S/C8H18/c1-7(2)6-8(3,4)5/h7H,6H2,1-5H3
NHTMVDHEPJAVLT-UHFFFAOYSA-N
2,2,4-trimethylpentane
isooctane
C8H18
1
Commercial source
1
99
2
Stated by supplier
1
1
1
Principal objective of the work
DAS
TRC
5/13/2011
1
Refractive index (Na D-line)
Standard Abbe refractometry
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
2
Pressure, kPa
Liquid
1
293.15
5
2
101.325
6
1
1.38614
6
1
0.00041
2
1
1
Principal objective of the work
DAS
TRC
5/13/2011
1
Mass density, kg/m3
VIBTUB:UFactor:4
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
2
Pressure, kPa
Liquid
1
298.15
5
2
101.325
6
1
765.85
5
1
0.66
3
1
1
Principal objective of the work
RDC
TRC
5/13/2011
1
Vapor or sublimation pressure, kPa
Ebulliometric method (Recirculating still)
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
Gas
1
Temperature, K
Liquid
1
318.13
5
1
23.96
4
1
0.14
1
328.15
5
1
35.45
4
1
0.19
1
328.2
5
1
35.45
4
1
0.19
1
338.15
5
1
51.05
4
1
0.25
1
338.28
5
1
51.05
4
1
0.25
4
2
1
Principal objective of the work
DAS
TRC
5/13/2011
1
Mass density, kg/m3
VIBTUB:UFactor:4
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
2
Pressure, kPa
Liquid
1
298.15
5
2
101.325
6
1
780.44
5
1
0.64
5
2
1
Principal objective of the work
RDC
TRC
5/13/2011
1
Vapor or sublimation pressure, kPa
Ebulliometric method (Recirculating still)
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
Gas
1
Temperature, K
Liquid
1
318.13
5
1
17.95
4
1
0.12
1
328.2
5
1
30.35
4
1
0.17
1
338.28
5
1
48.93
4
1
0.24
6
3
1
Principal objective of the work
DAS
TRC
5/13/2011
1
Refractive index (Na D-line)
Standard Abbe refractometry
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
2
Pressure, kPa
Liquid
1
293.15
5
2
101.325
6
1
1.38894
6
1
0.00045
7
3
1
Principal objective of the work
DAS
TRC
5/13/2011
1
Mass density, kg/m3
VIBTUB:UFactor:6
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
1
Temperature, K
Liquid
2
Pressure, kPa
Liquid
1
298.15
5
2
101.325
6
1
687.8
4
1
1.33
8
3
1
Principal objective of the work
RDC
TRC
5/13/2011
1
Vapor or sublimation pressure, kPa
Ebulliometric method (Recirculating still)
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
Gas
1
Temperature, K
Liquid
1
318.13
5
1
15.85
4
1
0.11
1
328.15
5
1
23.68
4
1
0.14
1
338.15
5
1
34.4
4
1
0.19
9
2
1
1
1
Principal objective of the work
DAS
TRC
5/13/2011
1
Azeotropic composition: mole fraction
By X=Y
1
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
Gas
1
Temperature, K
Liquid
1
318.13
5
1
0.7386
4
1
0.0036
1
328.2
5
1
0.6549
4
1
0.0042
1
338.28
5
1
0.577
4
1
0.0047
10
2
1
1
1
Principal objective of the work
DAS
TRC
5/13/2011
1
Azeotropic composition: mole fraction
By X=Y
1
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
Gas
1
Pressure, kPa
Liquid
1
26.2
4
1
0.7386
4
1
0.0036
1
39.98
4
1
0.6549
4
1
0.0042
1
59.52
4
1
0.577
4
1
0.0048
11
2
1
1
1
Principal objective of the work
DAS
TRC
5/13/2011
1
Vapor or sublimation pressure, kPa
Ebulliometric method (Recirculating still)
Gas
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Gas
Liquid
1
Mole fraction
1
Liquid
2
Temperature, K
Liquid
1
0
2
2
318.13
5
1
17.95
4
1
0.12
1
0
2
2
328.2
5
1
30.35
4
1
0.17
1
0
2
2
338.28
5
1
48.93
4
1
0.24
1
0.1459
4
2
318.13
5
1
21.34
4
1
0.14
1
0.1524
4
2
328.2
5
1
34.66
4
1
0.2
1
0.1586
4
2
338.28
5
1
54.33
4
1
0.27
1
0.1977
4
2
318.13
5
1
22.23
4
1
0.14
1
0.1998
4
2
328.2
5
1
35.68
4
1
0.2
1
0.2089
4
2
338.28
5
1
55.53
4
1
0.28
1
0.2475
4
2
318.13
5
1
23.02
4
1
0.14
1
0.2559
4
2
328.2
5
1
36.74
4
1
0.2
1
0.2642
4
2
338.28
5
1
56.7
4
1
0.28
1
0.3132
4
2
318.13
5
1
23.86
4
1
0.15
1
0.3223
4
2
328.2
5
1
37.74
4
1
0.2
1
0.33
4
2
338.28
5
1
57.78
4
1
0.28
1
0.3817
4
2
318.13
5
1
24.56
4
1
0.15
1
0.3893
4
2
328.2
5
1
38.52
4
1
0.2
1
0.397
4
2
338.28
5
1
58.61
4
1
0.29
1
0.4566
4
2
318.13
5
1
25.22
4
1
0.15
1
0.4655
4
2
328.2
5
1
39.28
4
1
0.21
1
0.4735
4
2
338.28
5
1
59.29
4
1
0.29
1
0.4966
4
2
318.13
5
1
25.52
4
1
0.15
1
0.505
4
2
328.2
5
1
39.52
4
1
0.21
1
0.5126
4
2
338.28
5
1
59.43
4
1
0.29
1
0.5665
4
2
318.13
5
1
25.87
4
1
0.15
1
0.5727
4
2
328.2
5
1
39.78
4
1
0.21
1
0.5788
4
2
338.28
5
1
59.52
4
1
0.29
1
0.6213
4
2
318.13
5
1
26.09
4
1
0.15
1
0.6285
4
2
328.2
5
1
39.95
4
1
0.21
1
0.635
4
2
338.28
5
1
59.47
4
1
0.29
1
0.6893
4
2
318.13
5
1
26.16
4
1
0.15
1
0.6961
4
2
328.2
5
1
39.94
4
1
0.21
1
0.7018
4
2
338.28
5
1
59.1
4
1
0.29
1
0.7664
4
2
318.13
5
1
26.19
4
1
0.15
1
0.771
4
2
328.2
5
1
39.6
4
1
0.21
1
0.8548
4
2
328.2
5
1
38.95
4
1
0.2
1
0.8562
4
2
318.13
5
1
25.9
4
1
0.15
1
0.8574
4
2
338.28
5
1
56.82
4
1
0.28
1
0.9458
4
2
318.13
5
1
25.07
4
1
0.15
1
0.9481
4
2
328.2
5
1
37.3
4
1
0.2
1
0.9481
4
2
338.28
5
1
53.85
4
1
0.27
1
0.9812
4
2
328.2
5
1
36.22
4
1
0.2
1
0.9816
4
2
318.13
5
1
24.48
4
1
0.15
1
0.9821
4
2
338.28
5
1
52.11
4
1
0.28
1
1
5
2
318.13
5
1
23.96
4
1
0.14
1
1
5
2
328.2
5
1
35.45
4
1
0.19
1
1
5
2
338.28
5
1
51.05
4
1
0.25
12
2
1
1
1
Principal objective of the work
DAS
TRC
5/13/2011
1
Mole fraction
Chromatography
1
Gas
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Gas
Liquid
1
Mole fraction
1
Liquid
2
Temperature, K
Liquid
1
0
2
2
318.13
5
1
0
2
1
0.0001
1
0
2
2
328.2
5
1
0
2
1
0.0001
1
0
2
2
338.28
5
1
0
2
1
0.0001
1
0.1459
4
2
318.13
5
1
0.2653
4
1
0.0046
1
0.1524
4
2
328.2
5
1
0.2461
4
1
0.0043
1
0.1586
4
2
338.28
5
1
0.2269
4
1
0.0039
1
0.1977
4
2
318.13
5
1
0.3304
4
1
0.0042
1
0.1998
4
2
328.2
5
1
0.3058
4
1
0.004
1
0.2089
4
2
338.28
5
1
0.2833
4
1
0.0038
1
0.2475
4
2
318.13
5
1
0.3871
4
1
0.0044
1
0.2559
4
2
328.2
5
1
0.361
4
1
0.0042
1
0.2642
4
2
338.28
5
1
0.3397
4
1
0.004
1
0.3132
4
2
318.13
5
1
0.4495
4
1
0.0048
1
0.3223
4
2
328.2
5
1
0.4222
4
1
0.0046
1
0.33
4
2
338.28
5
1
0.3984
4
1
0.0044
1
0.3817
4
2
318.13
5
1
0.506
4
1
0.0051
1
0.3893
4
2
328.2
5
1
0.4761
4
1
0.0049
1
0.397
4
2
338.28
5
1
0.4501
4
1
0.0047
1
0.4566
4
2
318.13
5
1
0.5595
4
1
0.0047
1
0.4655
4
2
328.2
5
1
0.5312
4
1
0.0049
1
0.4735
4
2
338.28
5
1
0.5062
4
1
0.005
1
0.4966
4
2
318.13
5
1
0.5855
4
1
0.0044
1
0.505
4
2
328.2
5
1
0.5577
4
1
0.0046
1
0.5126
4
2
338.28
5
1
0.533
4
1
0.0048
1
0.5665
4
2
318.13
5
1
0.6288
4
1
0.0041
1
0.5727
4
2
328.2
5
1
0.6022
4
1
0.0043
1
0.5788
4
2
338.28
5
1
0.5781
4
1
0.0045
1
0.6213
4
2
318.13
5
1
0.6629
4
1
0.0039
1
0.6285
4
2
328.2
5
1
0.6387
4
1
0.0041
1
0.635
4
2
338.28
5
1
0.6168
4
1
0.0043
1
0.6893
4
2
318.13
5
1
0.7044
4
1
0.0036
1
0.6961
4
2
328.2
5
1
0.6829
4
1
0.0038
1
0.7018
4
2
338.28
5
1
0.6639
4
1
0.004
1
0.7664
4
2
318.13
5
1
0.7527
4
1
0.0034
1
0.771
4
2
328.2
5
1
0.7354
4
1
0.0035
1
0.8548
4
2
328.2
5
1
0.8042
4
1
0.0034
1
0.8562
4
2
318.13
5
1
0.8214
4
1
0.0032
1
0.8574
4
2
338.28
5
1
0.7957
4
1
0.0034
1
0.9458
4
2
318.13
5
1
0.9161
4
1
0.0032
1
0.9481
4
2
328.2
5
1
0.9142
4
1
0.0033
1
0.9481
4
2
338.28
5
1
0.9105
4
1
0.0035
1
0.9812
4
2
328.2
5
1
0.967
4
1
0.0038
1
0.9816
4
2
318.13
5
1
0.9685
4
1
0.0037
1
0.9821
4
2
338.28
5
1
0.9648
4
1
0.004
1
1
5
2
318.13
5
1
1
5
1
0.0001
1
1
5
2
328.2
5
1
1
5
1
0.0001
1
1
5
2
338.28
5
1
1
5
1
0.0001
13
3
1
1
1
Principal objective of the work
DAS
TRC
5/13/2011
1
Azeotropic composition: mole fraction
By X=Y
1
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
Gas
1
Pressure, kPa
Liquid
1
24.84
4
1
0.5062
4
1
0.0054
1
39
4
1
0.5517
4
1
0.0049
1
59.49
4
1
0.5963
4
1
0.0046
14
3
1
1
1
Principal objective of the work
DAS
TRC
5/13/2011
1
Azeotropic composition: mole fraction
By X=Y
1
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
Gas
1
Temperature, K
Liquid
1
318.13
5
1
0.5062
4
1
0.0054
1
328.2
5
1
0.5517
4
1
0.0049
1
338.28
5
1
0.5963
4
1
0.0046
15
3
1
1
1
Principal objective of the work
DAS
TRC
5/13/2011
1
Vapor or sublimation pressure, kPa
Ebulliometric method (Recirculating still)
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
Gas
1
Mole fraction
1
Liquid
2
Temperature, K
Liquid
1
0
2
2
318.13
5
1
15.85
4
1
0.11
1
0
2
2
328.15
5
1
23.68
4
1
0.14
1
0
2
2
338.15
5
1
34.4
4
1
0.19
1
0.0213
3
2
318.13
5
1
16.13
4
1
0.11
1
0.0214
3
2
328.15
5
1
24.05
4
1
0.15
1
0.0215
3
2
338.15
5
1
34.9
4
1
0.2
1
0.057
3
2
318.13
5
1
16.48
4
1
0.11
1
0.0573
3
2
328.15
5
1
24.58
4
1
0.15
1
0.0577
3
2
338.15
5
1
35.7
4
1
0.2
1
0.1314
4
2
318.13
5
1
17.31
4
1
0.12
1
0.1335
4
2
338.15
5
1
37.31
4
1
0.21
1
0.1337
4
2
328.15
5
1
25.76
4
1
0.15
1
0.2018
4
2
318.13
5
1
18.02
4
1
0.12
1
0.2032
4
2
328.15
5
1
26.79
4
1
0.16
1
0.2049
4
2
338.15
5
1
38.73
4
1
0.21
1
0.2918
4
2
318.13
5
1
18.87
4
1
0.12
1
0.2937
4
2
328.15
5
1
28.05
4
1
0.16
1
0.2956
4
2
338.15
5
1
40.46
4
1
0.22
1
0.4823
4
2
318.13
5
1
20.43
4
1
0.13
1
0.4922
4
2
328.15
5
1
30.49
4
1
0.17
1
0.4977
4
2
338.15
5
1
44.11
4
1
0.23
1
0.5622
4
2
318.13
5
1
21.02
4
1
0.13
1
0.5635
4
2
328.15
5
1
31.27
4
1
0.17
1
0.5675
4
2
338.15
5
1
45.22
4
1
0.23
1
0.6328
4
2
318.13
5
1
21.64
4
1
0.13
1
0.6356
4
2
328.15
5
1
32.22
4
1
0.18
1
0.6376
4
2
338.15
5
1
46.45
4
1
0.24
1
0.6934
4
2
318.13
5
1
22.11
4
1
0.13
1
0.6946
4
2
328.15
5
1
32.81
4
1
0.18
1
0.6964
4
2
338.15
5
1
47.39
4
1
0.24
1
0.7633
4
2
318.13
5
1
22.69
4
1
0.14
1
0.7639
4
2
328.15
5
1
33.58
4
1
0.18
1
0.7646
4
2
338.15
5
1
48.51
4
1
0.24
1
0.8162
4
2
318.13
5
1
23
4
1
0.14
1
0.8165
4
2
338.15
5
1
49.39
4
1
0.25
1
0.8168
4
2
328.15
5
1
34.13
4
1
0.18
1
0.856
4
2
338.15
5
1
49.78
4
1
0.25
1
0.8561
4
2
328.15
5
1
34.51
4
1
0.19
1
0.8862
4
2
328.15
5
1
34.78
4
1
0.19
1
0.8864
4
2
318.13
5
1
23.49
4
1
0.14
1
0.887
4
2
338.15
5
1
50.24
4
1
0.25
1
0.8871
4
2
338.15
5
1
50.35
4
1
0.25
1
0.9126
4
2
328.15
5
1
35.11
4
1
0.19
1
0.9127
4
2
338.15
5
1
50.63
4
1
0.25
1
0.9129
4
2
318.13
5
1
23.66
4
1
0.14
1
0.9341
4
2
338.15
5
1
50.78
4
1
0.25
1
0.9345
4
2
328.15
5
1
35.27
4
1
0.19
1
1
5
2
318.13
5
1
23.96
4
1
0.14
1
1
5
2
328.15
5
1
35.45
4
1
0.19
1
1
5
2
338.15
5
1
51.05
4
1
0.25
16
3
1
1
1
Principal objective of the work
DAS
TRC
5/13/2011
1
Mole fraction
Chromatography
1
Gas
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Gas
Liquid
1
Mole fraction
1
Liquid
2
Temperature, K
Liquid
1
0
2
2
318.13
5
1
0
2
1
0.0001
1
0
2
2
328.15
5
1
0
2
1
0.0001
1
0
2
2
338.15
5
1
0
2
1
0.0001
1
0.0213
3
2
318.13
5
1
0.0354
3
1
0.0038
1
0.0214
3
2
328.15
5
1
0.0352
3
1
0.0037
1
0.0215
3
2
338.15
5
1
0.0344
3
1
0.0037
1
0.057
3
2
318.13
5
1
0.0905
3
1
0.0036
1
0.0573
3
2
328.15
5
1
0.0906
3
1
0.0036
1
0.0577
3
2
338.15
5
1
0.0908
3
1
0.0036
1
0.1314
4
2
318.13
5
1
0.1983
4
1
0.0038
1
0.1335
4
2
338.15
5
1
0.1976
4
1
0.0038
1
0.1337
4
2
328.15
5
1
0.1971
4
1
0.0038
1
0.2018
4
2
318.13
5
1
0.2897
4
1
0.0041
1
0.2032
4
2
328.15
5
1
0.2896
4
1
0.0041
1
0.2049
4
2
338.15
5
1
0.2868
4
1
0.0041
1
0.2918
4
2
318.13
5
1
0.3942
4
1
0.0047
1
0.2937
4
2
328.15
5
1
0.3938
4
1
0.0047
1
0.2956
4
2
338.15
5
1
0.3922
4
1
0.0047
1
0.4823
4
2
318.13
5
1
0.584
4
1
0.005
1
0.4922
4
2
328.15
5
1
0.5911
4
1
0.0049
1
0.4977
4
2
338.15
5
1
0.5936
4
1
0.0049
1
0.5622
4
2
318.13
5
1
0.6542
4
1
0.0044
1
0.5635
4
2
328.15
5
1
0.6539
4
1
0.0044
1
0.5675
4
2
338.15
5
1
0.6545
4
1
0.0044
1
0.6328
4
2
318.13
5
1
0.7121
4
1
0.0039
1
0.6356
4
2
328.15
5
1
0.7151
4
1
0.0039
1
0.6376
4
2
338.15
5
1
0.7152
4
1
0.0039
1
0.6934
4
2
318.13
5
1
0.7603
4
1
0.0035
1
0.6946
4
2
328.15
5
1
0.761
4
1
0.0035
1
0.6964
4
2
338.15
5
1
0.7627
4
1
0.0035
1
0.7633
4
2
318.13
5
1
0.8178
4
1
0.0032
1
0.7639
4
2
328.15
5
1
0.8179
4
1
0.0031
1
0.7646
4
2
338.15
5
1
0.8177
4
1
0.0032
1
0.8162
4
2
318.13
5
1
0.859
4
1
0.0029
1
0.8165
4
2
338.15
5
1
0.858
4
1
0.0029
1
0.8168
4
2
328.15
5
1
0.8577
4
1
0.0029
1
0.856
4
2
338.15
5
1
0.8886
4
1
0.0028
1
0.8561
4
2
328.15
5
1
0.8889
4
1
0.0028
1
0.8862
4
2
328.15
5
1
0.9122
4
1
0.0027
1
0.8864
4
2
318.13
5
1
0.9124
4
1
0.0027
1
0.887
4
2
338.15
5
1
0.9128
4
1
0.0027
1
0.8871
4
2
338.15
5
1
0.913
4
1
0.0027
1
0.9126
4
2
328.15
5
1
0.9327
4
1
0.0026
1
0.9127
4
2
338.15
5
1
0.9327
4
1
0.0026
1
0.9129
4
2
318.13
5
1
0.9329
4
1
0.0026
1
0.9341
4
2
338.15
5
1
0.9492
4
1
0.0026
1
0.9345
4
2
328.15
5
1
0.9495
4
1
0.0026
1
1
5
2
318.13
5
1
1
5
1
0.0001
1
1
5
2
328.15
5
1
1
5
1
0.0001
1
1
5
2
338.15
5
1
1
5
1
0.0001
17
2
1
3
1
1
1
Principal objective of the work
RDC
TRC
5/13/2011
1
Mole fraction
Chromatography
2
Liquid
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
2
Mole fraction
Chromatography
2
Gas
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
3
Mole fraction
Chromatography
1
Gas
Direct value, X
1
Data file compiler
Propagation of evaluated standard uncertainties
95
Liquid
Gas
1
Temperature, K
Liquid
2
Pressure, kPa
Liquid
3
Mole fraction
1
Liquid
1
318.13
5
2
24.78
4
3
0.0381
3
1
0.6486
4
1
0.0033
2
0.555
4
1
0.0048
3
0.0461
3
1
318.13
5
2
25.42
4
3
0.219
4
1
0.5243
4
1
0.004
2
0.4609
4
1
0.0047
3
0.2475
4
1
318.13
5
2
25.61
4
3
0.2921
4
1
0.4725
4
1
0.004
2
0.426
4
1
0.0044
3
0.3197
4
1
318.13
5
2
25.72
4
3
0.3848
4
1
0.4063
4
1
0.0036
2
0.3854
4
1
0.004
3
0.4045
4
1
318.13
5
2
25.88
4
3
0.4643
4
1
0.3523
4
1
0.0032
2
0.3488
4
1
0.0037
3
0.4752
4
1
318.13
5
2
25.07
4
3
0.3323
4
1
0.5477
4
1
0.0039
2
0.4543
4
1
0.0046
3
0.3929
4
1
318.13
5
2
25.67
4
3
0.3058
4
1
0.4945
4
1
0.0041
2
0.4324
4
1
0.0044
3
0.3413
4
1
318.13
5
2
25.74
4
3
0.2804
4
1
0.4424
4
1
0.0038
2
0.4173
4
1
0.0043
3
0.2997
4
1
318.13
5
2
25.46
4
3
0.2482
4
1
0.3755
4
1
0.0034
2
0.3953
4
1
0.0041
3
0.2565
4
1
318.13
5
2
25.1
4
3
0.2134
4
1
0.3153
4
1
0.003
2
0.38
4
1
0.004
3
0.2164
4
1
318.13
5
2
24.23
4
3
0.1821
4
1
0.2091
4
1
0.0025
2
0.3486
4
1
0.0038
3
0.1847
4
1
318.13
5
2
23.3
4
3
0.1376
4
1
0.1253
4
1
0.0022
2
0.3002
4
1
0.0034
3
0.146
4
1
318.13
5
2
21.2
4
3
0.0912
3
1
0.0514
3
1
0.002
2
0.2331
4
1
0.0029
3
0.1087
4
1
318.13
5
2
21.97
4
3
0.1287
4
1
0.8413
4
1
0.0023
2
0.7049
4
1
0.0035
3
0.223
4
1
318.13
5
2
23.3
4
3
0.1266
4
1
0.7778
4
1
0.0026
2
0.6325
4
1
0.0041
3
0.1882
4
1
318.13
5
2
24.4
4
3
0.1187
4
1
0.6964
4
1
0.003
2
0.5682
4
1
0.0046
3
0.1553
4
1
318.13
5
2
24.97
4
3
0.108
4
1
0.6113
4
1
0.0035
2
0.5222
4
1
0.005
3
0.1288
4
1
318.13
5
2
24.85
4
3
0.0971
3
1
0.5221
4
1
0.0041
2
0.4876
4
1
0.0051
3
0.1079
4
1
318.13
5
2
25.29
4
3
0.0856
3
1
0.4468
4
1
0.0039
2
0.4587
4
1
0.0048
3
0.0917
3
1
318.13
5
2
25.13
4
3
0.0723
3
1
0.3523
4
1
0.0033
2
0.4316
4
1
0.0046
3
0.0751
3
1
318.13
5
2
24.75
4
3
0.0605
3
1
0.2878
4
1
0.0029
2
0.4038
4
1
0.0043
3
0.0626
3
1
318.13
5
2
23.43
4
3
0.0388
3
1
0.1561
4
1
0.0023
2
0.3511
4
1
0.0038
3
0.0412
3
1
318.13
5
2
22.63
4
3
0.0299
3
1
0.1152
4
1
0.0022
2
0.3229
4
1
0.0036
3
0.0327
3
1
318.13
5
2
25.71
4
3
0.493
4
1
0.4188
4
1
0.0036
2
0.3694
4
1
0.0038
3
0.5337
4
1
318.13
5
2
25.78
4
3
0.4497
4
1
0.3728
4
1
0.0033
2
0.3603
4
1
0.0038
3
0.4652
4
1
318.13
5
2
25.57
4
3
0.4028
4
1
0.3235
4
1
0.0031
2
0.3432
4
1
0.0036
3
0.4072
4
1
318.13
5
2
24.98
4
3
0.3599
4
1
0.2793
4
1
0.0028
2
0.3368
4
1
0.0036
3
0.3576
4
1
318.13
5
2
24.52
4
3
0.3181
4
1
0.2299
4
1
0.0026
2
0.3227
4
1
0.0035
3
0.315
4
1
318.13
5
2
23.89
4
3
0.2767
4
1
0.1634
4
1
0.0023
2
0.2974
4
1
0.0033
3
0.2786
4
1
318.13
5
2
22.92
4
3
0.2281
4
1
0.1092
4
1
0.0021
2
0.2665
4
1
0.0031
3
0.2385
4
1
318.13
5
2
24.98
4
3
0.8455
4
1
0.0975
3
1
0.0021
2
0.1409
4
1
0.0023
3
0.8135
4
1
318.13
5
2
24.7
4
3
0.7814
4
1
0.0875
3
1
0.0021
2
0.1389
4
1
0.0023
3
0.7586
4
1
318.13
5
2
24.04
4
3
0.6963
4
1
0.0751
3
1
0.0021
2
0.1363
4
1
0.0023
3
0.6887
4
1
318.13
5
2
23.37
4
3
0.5982
4
1
0.0627
3
1
0.002
2
0.1337
4
1
0.0023
3
0.609
4
1
318.13
5
2
22.65
4
3
0.512
4
1
0.0499
3
1
0.002
2
0.1274
4
1
0.0023
3
0.5412
4
1
318.13
5
2
21.7
4
3
0.4171
4
1
0.0396
3
1
0.002
2
0.1226
4
1
0.0023
3
0.4615
4
1
318.13
5
2
20.64
4
3
0.3118
4
1
0.0279
3
1
0.002
2
0.1115
4
1
0.0022
3
0.3688
4
1
318.13
5
2
19.87
4
3
0.2254
4
1
0.019
3
1
0.002
2
0.1032
4
1
0.0022
3
0.2898
4
1
318.13
5
2
25.67
4
3
0.6385
4
1
0.3174
4
1
0.003
2
0.3069
4
1
0.0033
3
0.6498
4
1
318.13
5
2
25.84
4
3
0.5956
4
1
0.2901
4
1
0.0029
2
0.3006
4
1
0.0033
3
0.5938
4
1
318.13
5
2
25.42
4
3
0.5334
4
1
0.2518
4
1
0.0027
2
0.292
4
1
0.0032
3
0.5232
4
1
318.13
5
2
25.33
4
3
0.4681
4
1
0.2123
4
1
0.0025
2
0.2839
4
1
0.0032
3
0.457
4
1
328.2
5
2
39.03
4
3
0.0388
3
1
0.642
4
1
0.0034
2
0.5839
4
1
0.0046
3
0.0432
3
1
328.2
5
2
39.56
4
3
0.2244
4
1
0.5126
4
1
0.0041
2
0.4877
4
1
0.005
3
0.236
4
1
328.2
5
2
39.7
4
3
0.2961
4
1
0.4645
4
1
0.0039
2
0.4565
4
1
0.0046
3
0.3034
4
1
328.2
5
2
39.7
4
3
0.3913
4
1
0.3962
4
1
0.0035
2
0.4097
4
1
0.0042
3
0.3893
4
1
328.2
5
2
39.66
4
3
0.4724
4
1
0.3405
4
1
0.0032
2
0.3718
4
1
0.0039
3
0.4591
4
1
328.2
5
2
39.56
4
3
0.3394
4
1
0.5381
4
1
0.0039
2
0.4828
4
1
0.0048
3
0.3735
4
1
328.2
5
2
39.85
4
3
0.3124
4
1
0.4834
4
1
0.0041
2
0.4606
4
1
0.0047
3
0.3258
4
1
328.2
5
2
39.8
4
3
0.2847
4
1
0.4327
4
1
0.0037
2
0.4458
4
1
0.0046
3
0.2853
4
1
328.2
5
2
39.4
4
3
0.2523
4
1
0.3686
4
1
0.0033
2
0.425
4
1
0.0044
3
0.2458
4
1
328.2
5
2
38.52
4
3
0.2161
4
1
0.2991
4
1
0.0029
2
0.392
4
1
0.0041
3
0.2094
4
1
328.2
5
2
37.49
4
3
0.1861
4
1
0.2108
4
1
0.0025
2
0.3513
4
1
0.0038
3
0.1819
4
1
328.2
5
2
35.55
4
3
0.1386
4
1
0.1129
4
1
0.0022
2
0.3266
4
1
0.0036
3
0.1429
4
1
328.2
5
2
31.96
4
3
0.0941
3
1
0.0563
3
1
0.002
2
0.2376
4
1
0.0029
3
0.1079
4
1
328.2
5
2
35.59
4
3
0.1335
4
1
0.8348
4
1
0.0024
2
0.7282
4
1
0.0033
3
0.2057
4
1
328.2
5
2
37.3
4
3
0.1304
4
1
0.7699
4
1
0.0026
2
0.6588
4
1
0.0039
3
0.1751
4
1
328.2
5
2
38.66
4
3
0.1214
4
1
0.6887
4
1
0.0031
2
0.5976
4
1
0.0044
3
0.1452
4
1
328.2
5
2
39.31
4
3
0.1107
4
1
0.5996
4
1
0.0036
2
0.5518
4
1
0.0048
3
0.1212
4
1
328.2
5
2
39.22
4
3
0.0987
3
1
0.5143
4
1
0.0041
2
0.5155
4
1
0.0051
3
0.1019
4
1
328.2
5
2
39.39
4
3
0.087
3
1
0.4413
4
1
0.0038
2
0.4873
4
1
0.0051
3
0.087
3
1
328.2
5
2
38.86
4
3
0.0735
3
1
0.34
4
1
0.0032
2
0.4578
4
1
0.0048
3
0.0716
3
1
328.2
5
2
38.21
4
3
0.0615
3
1
0.28
4
1
0.0028
2
0.4283
4
1
0.0045
3
0.0599
3
1
328.2
5
2
35.96
4
3
0.0391
3
1
0.1459
4
1
0.0023
2
0.3655
4
1
0.004
3
0.0399
3
1
328.2
5
2
34.52
4
3
0.0295
3
1
0.0974
3
1
0.0021
2
0.3413
4
1
0.0037
3
0.032
3
1
328.2
5
2
39.5
4
3
0.4995
4
1
0.4108
4
1
0.0036
2
0.3987
4
1
0.0041
3
0.5097
4
1
328.2
5
2
39.31
4
3
0.4593
4
1
0.3566
4
1
0.0032
2
0.3849
4
1
0.004
3
0.4479
4
1
328.2
5
2
39.22
4
3
0.4068
4
1
0.3178
4
1
0.003
2
0.3683
4
1
0.0038
3
0.3926
4
1
328.2
5
2
38.4
4
3
0.3654
4
1
0.2588
4
1
0.0027
2
0.3593
4
1
0.0038
3
0.3458
4
1
328.2
5
2
37.7
4
3
0.3212
4
1
0.221
4
1
0.0025
2
0.3411
4
1
0.0037
3
0.3059
4
1
328.2
5
2
36.66
4
3
0.2803
4
1
0.1657
4
1
0.0023
2
0.3151
4
1
0.0035
3
0.2721
4
1
328.2
5
2
34.73
4
3
0.2295
4
1
0.1075
4
1
0.0021
2
0.2796
4
1
0.0032
3
0.2343
4
1
328.2
5
2
37.47
4
3
0.8476
4
1
0.0954
3
1
0.0021
2
0.1485
4
1
0.0024
3
0.8067
4
1
328.2
5
2
36.96
4
3
0.7829
4
1
0.0853
3
1
0.0021
2
0.1457
4
1
0.0024
3
0.7529
4
1
328.2
5
2
35.78
4
3
0.6976
4
1
0.0739
3
1
0.0021
2
0.1427
4
1
0.0023
3
0.684
4
1
328.2
5
2
34.91
4
3
0.5986
4
1
0.0601
3
1
0.002
2
0.1366
4
1
0.0023
3
0.6063
4
1
328.2
5
2
33.88
4
3
0.5131
4
1
0.0496
3
1
0.002
2
0.1317
4
1
0.0023
3
0.5385
4
1
328.2
5
2
32.6
4
3
0.4101
4
1
0.036
3
1
0.002
2
0.1253
4
1
0.0023
3
0.4594
4
1
328.2
5
2
30.89
4
3
0.3133
4
1
0.0285
3
1
0.002
2
0.1142
4
1
0.0022
3
0.3672
4
1
328.2
5
2
29.46
4
3
0.2143
4
1
0.0147
3
1
0.002
2
0.101
4
1
0.0022
3
0.2883
4
1
328.2
5
2
39.36
4
3
0.6486
4
1
0.3066
4
1
0.003
2
0.3289
4
1
0.0035
3
0.6294
4
1
328.2
5
2
39.46
4
3
0.6008
4
1
0.2837
4
1
0.0028
2
0.3216
4
1
0.0034
3
0.5762
4
1
328.2
5
2
38.89
4
3
0.5375
4
1
0.2464
4
1
0.0027
2
0.312
4
1
0.0034
3
0.509
4
1
328.2
5
2
38.42
4
3
0.4714
4
1
0.2072
4
1
0.0025
2
0.3014
4
1
0.0033
3
0.446
4
1
338.28
5
2
59.8
4
3
0.0396
3
1
0.6347
4
1
0.0034
2
0.6103
4
1
0.0044
3
0.0407
3
1
338.28
5
2
59.75
4
3
0.2283
4
1
0.5042
4
1
0.0042
2
0.5175
4
1
0.005
3
0.2237
4
1
338.28
5
2
59.78
4
3
0.3
4
1
0.4566
4
1
0.0039
2
0.4823
4
1
0.0049
3
0.2896
4
1
338.28
5
2
59.33
4
3
0.3963
4
1
0.3883
4
1
0.0034
2
0.4347
4
1
0.0044
3
0.374
4
1
338.28
5
2
59.03
4
3
0.4754
4
1
0.337
4
1
0.0031
2
0.394
4
1
0.004
3
0.444
4
1
338.28
5
2
59.77
4
3
0.3471
4
1
0.5266
4
1
0.004
2
0.5092
4
1
0.0049
3
0.3555
4
1
338.28
5
2
60.02
4
3
0.3168
4
1
0.4759
4
1
0.004
2
0.4869
4
1
0.0049
3
0.3099
4
1
338.28
5
2
59.87
4
3
0.2874
4
1
0.427
4
1
0.0037
2
0.4711
4
1
0.0048
3
0.2728
4
1
338.28
5
2
58.96
4
3
0.2556
4
1
0.3596
4
1
0.0033
2
0.4478
4
1
0.0046
3
0.2365
4
1
338.28
5
2
57.81
4
3
0.2183
4
1
0.2935
4
1
0.0029
2
0.4235
4
1
0.0044
3
0.2006
4
1
338.28
5
2
55.58
4
3
0.1884
4
1
0.2179
4
1
0.0025
2
0.3824
4
1
0.0041
3
0.1758
4
1
338.28
5
2
52.03
4
3
0.1407
4
1
0.117
4
1
0.0022
2
0.333
4
1
0.0036
3
0.141
4
1
338.28
5
2
46.87
4
3
0.0919
3
1
0.0523
3
1
0.002
2
0.2511
4
1
0.003
3
0.1072
4
1
338.28
5
2
55.6
4
3
0.1378
4
1
0.829
4
1
0.0024
2
0.746
4
1
0.0032
3
0.1922
4
1
338.28
5
2
57.66
4
3
0.1327
4
1
0.7654
4
1
0.0027
2
0.6834
4
1
0.0037
3
0.1632
4
1
338.28
5
2
59.24
4
3
0.1241
4
1
0.6803
4
1
0.0031
2
0.624
4
1
0.0042
3
0.1363
4
1
338.28
5
2
59.88
4
3
0.1125
4
1
0.5931
4
1
0.0036
2
0.5779
4
1
0.0046
3
0.1145
4
1
338.28
5
2
59.82
4
3
0.1003
4
1
0.5057
4
1
0.0042
2
0.5405
4
1
0.0049
3
0.0967
3
1
338.28
5
2
59.39
4
3
0.0882
3
1
0.4342
4
1
0.0038
2
0.5131
4
1
0.0052
3
0.0827
3
1
338.28
5
2
58.44
4
3
0.0743
3
1
0.3484
4
1
0.0032
2
0.4796
4
1
0.0051
3
0.0686
3
1
338.28
5
2
57.16
4
3
0.0623
3
1
0.2778
4
1
0.0028
2
0.4522
4
1
0.0048
3
0.0576
3
1
338.28
5
2
54.83
4
3
0.0459
3
1
0.1783
4
1
0.0024
2
0.407
4
1
0.0043
3
0.0441
3
1
338.28
5
2
52.85
4
3
0.0395
3
1
0.1422
4
1
0.0022
2
0.3774
4
1
0.0041
3
0.039
3
1
338.28
5
2
50.99
4
3
0.0305
3
1
0.1103
4
1
0.0021
2
0.3523
4
1
0.0038
3
0.0314
3
1
338.28
5
2
58.93
4
3
0.5044
4
1
0.4039
4
1
0.0035
2
0.4243
4
1
0.0043
3
0.4889
4
1
338.28
5
2
58.42
4
3
0.4647
4
1
0.3481
4
1
0.0032
2
0.4057
4
1
0.0041
3
0.4331
4
1
338.28
5
2
58.35
4
3
0.4101
4
1
0.3127
4
1
0.003
2
0.3933
4
1
0.0041
3
0.3786
4
1
338.28
5
2
57.24
4
3
0.3675
4
1
0.2584
4
1
0.0027
2
0.3767
4
1
0.0039
3
0.3366
4
1
338.28
5
2
55.83
4
3
0.3235
4
1
0.2134
4
1
0.0025
2
0.3582
4
1
0.0038
3
0.2986
4
1
338.28
5
2
53.92
4
3
0.2819
4
1
0.1603
4
1
0.0023
2
0.3285
4
1
0.0036
3
0.2668
4
1
338.28
5
2
50.97
4
3
0.2271
4
1
0.0941
3
1
0.0021
2
0.283
4
1
0.0032
3
0.2317
4
1
338.28
5
2
54.52
4
3
0.8489
4
1
0.0939
3
1
0.0021
2
0.1553
4
1
0.0024
3
0.8005
4
1
338.28
5
2
53.7
4
3
0.7842
4
1
0.0844
3
1
0.0021
2
0.1515
4
1
0.0024
3
0.7483
4
1
338.28
5
2
52.42
4
3
0.6985
4
1
0.0729
3
1
0.0021
2
0.1479
4
1
0.0024
3
0.6802
4
1
338.28
5
2
50.79
4
3
0.5992
4
1
0.0593
3
1
0.002
2
0.1403
4
1
0.0023
3
0.6038
4
1
338.28
5
2
49.24
4
3
0.5143
4
1
0.0496
3
1
0.002
2
0.1347
4
1
0.0023
3
0.5364
4
1
338.28
5
2
47.32
4
3
0.4181
4
1
0.0389
3
1
0.002
2
0.1267
4
1
0.0023
3
0.4578
4
1
338.28
5
2
45.43
4
3
0.3114
4
1
0.0283
3
1
0.002
2
0.1161
4
1
0.0022
3
0.366
4
1
338.28
5
2
42.89
4
3
0.2285
4
1
0.0201
3
1
0.002
2
0.1012
4
1
0.0022
3
0.2869
4
1
338.28
5
2
58.69
4
3
0.6503
4
1
0.3046
4
1
0.003
2
0.3484
4
1
0.0036
3
0.6116
4
1
338.28
5
2
58.68
4
3
0.6052
4
1
0.2783
4
1
0.0028
2
0.3403
4
1
0.0036
3
0.5613
4
1
338.28
5
2
57.59
4
3
0.5412
4
1
0.2413
4
1
0.0026
2
0.3297
4
1
0.0035
3
0.4969
4
1
338.28
5
2
56.61
4
3
0.4742
4
1
0.2042
4
1
0.0025
2
0.3179
4
1
0.0034
3
0.4366
4