Wall clock time and date at job start Wed Apr 1 2020 06:22:29
AMSOL-version 7.1
by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers,
I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget,
B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar
Copyright 2004 by Regents of the University of Minnesota.
All rights reserved.
Notice: recipients of this code are asked to comply
with the user agreement in Section 1 of the documentation file.
*******************************************************************************
* 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION
* - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT)
* GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK
* TLIMIT= - A TIME OF 15. SECONDS REQUESTED
* CHARGE - CHARGE ON SYSTEM= -1
* AM1 - THE AM1 HAMILTONIAN TO BE USED
* DEV - DEVELOPER OPTIONS ARE ALLOWED
* SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED
* - CHARGE MODEL 2 WILL BE USED (CM2A)
* - THE SOLVENT IS USER-SPECIFIED
* DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06
* IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345
* ALPHA - THE SOLVENT ALPHA IS 0.00
* BETA - THE SOLVENT BETA IS 0.00
* GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS
* 38.93 CAL MOL^-1 ANGSTROM^-2
* FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00
* FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00
*******************************************************************************
Atom NO. Chemical Bond length Bond angle Dihedral angle
number (k) symbol (angstroms) (degrees) (degrees)
(I) NA:I NB:NA:I NC:NB:NA:I NA NB NC
1 1 C
2 2 C 1.53000 * 1
3 3 C 1.53003 * 109.46868 * 2 1
4 4 C 1.52990 * 109.47158 * 120.00241 * 2 1 3
5 5 C 1.50707 * 109.47338 * 175.00093 * 4 2 1
6 6 N 1.30859 * 125.41507 * 304.97860 * 5 4 2
7 7 C 1.33322 * 109.68435 * 179.78446 * 6 5 4
8 8 C 1.36667 * 107.78320 * 0.37527 * 7 6 5
9 9 C 1.46761 * 126.84027 * 179.89822 * 8 7 6
10 10 O 1.21681 * 120.00128 * 27.89462 * 9 8 7
11 11 N 1.34782 * 119.99787 * 207.88835 * 9 8 7
12 12 C 1.46597 * 119.68099 * 179.83247 * 11 9 8
13 13 C 1.53956 * 110.57299 * 227.84754 * 12 11 9
14 14 C 1.51525 * 107.34916 * 308.94705 * 13 12 11
15 15 H 1.09005 * 109.27795 * 306.30126 * 14 13 12
16 16 C 1.55363 * 107.78741 * 64.85594 * 14 13 12
17 17 H 1.08996 * 111.50841 * 50.62241 * 16 14 13
18 18 C 1.53746 * 100.21669 * 168.51804 * 16 14 13
19 19 C 1.55290 * 101.87262 * 320.88618 * 18 16 14
20 20 N 1.45460 * 116.86899 * 181.60873 * 14 13 12
21 21 C 1.36937 * 126.40747 * 30.87738 * 20 14 13
22 22 H 1.07995 * 119.99969 * 0.02562 * 21 20 14
23 23 C 1.38810 * 120.00202 * 179.97438 * 21 20 14
24 24 N 1.31619 * 119.99963 * 0.02562 * 23 21 20
25 25 Si 1.86803 * 120.00199 * 180.02562 * 23 21 20
26 26 H 1.48495 * 109.46880 * 0.02562 * 25 23 21
27 27 H 1.48505 * 109.47008 * 119.99993 * 25 23 21
28 28 H 1.48498 * 109.46993 * 239.99825 * 25 23 21
29 29 C 1.48912 * 119.82241 * 359.53877 * 11 9 8
30 30 N 1.34491 * 125.42056 * 124.99755 * 5 4 2
31 31 H 0.96998 * 126.47464 * 0.02562 * 30 5 4
32 32 H 1.08996 * 109.46876 * 299.99835 * 1 2 3
33 33 H 1.09004 * 109.47409 * 59.99710 * 1 2 3
34 34 H 1.09004 * 109.47318 * 179.97438 * 1 2 3
35 35 H 1.09005 * 109.46833 * 240.00402 * 2 1 3
36 36 H 1.08996 * 109.47238 * 60.00386 * 3 2 1
37 37 H 1.09005 * 109.46897 * 179.97438 * 3 2 1
38 38 H 1.08994 * 109.47338 * 299.99776 * 3 2 1
39 39 H 1.09000 * 109.47493 * 54.99796 * 4 2 1
40 40 H 1.08999 * 109.47688 * 294.99693 * 4 2 1
41 41 H 1.07997 * 126.10733 * 180.27743 * 7 6 5
42 42 H 1.08999 * 109.25508 * 107.56828 * 12 11 9
43 43 H 1.09000 * 109.25641 * 348.12758 * 12 11 9
44 44 H 1.08999 * 109.88099 * 189.49118 * 13 12 11
45 45 H 1.08999 * 109.94757 * 68.44050 * 13 12 11
46 46 H 1.08997 * 110.95310 * 79.04604 * 18 16 14
47 47 H 1.09000 * 110.95157 * 202.73418 * 18 16 14
48 48 H 1.09006 * 109.91526 * 141.84983 * 19 18 16
49 49 H 1.08995 * 109.92179 * 263.14347 * 19 18 16
50 50 H 0.96999 * 120.00500 * 179.97438 * 24 23 21
51 51 H 1.09003 * 109.91528 * 8.92467 * 29 11 9
52 52 H 1.08998 * 110.80589 * 246.96922 * 29 11 9
Note: An asterisk (*) indicates this parameter was or will be optimized.
Cartesian coordinates (angstroms)
NO. Atom X Y Z
1 6 0.0000 0.0000 0.0000
2 6 1.5300 0.0000 0.0000
3 6 2.0399 1.4426 0.0000
4 6 2.0400 -0.7213 1.2491
5 6 3.5419 -0.8294 1.1888
6 7 4.2252 -1.3602 0.2071
7 6 5.5289 -1.2866 0.4760
8 6 5.6703 -0.6849 1.6949
9 6 6.9285 -0.3971 2.3935
10 8 7.9493 -0.2127 1.7574
11 7 6.9533 -0.3370 3.7398
12 6 8.2146 -0.0527 4.4306
13 6 8.4386 -1.0514 5.5807
14 6 7.1771 -1.0644 6.4200
15 1 6.9328 -0.0448 6.7183
16 6 6.0275 -1.6285 5.5403
17 1 6.3111 -2.5683 5.0665
18 6 4.9464 -1.8469 6.6114
19 6 5.7836 -2.3774 7.8068
20 7 7.1783 -1.9212 7.5954
21 6 8.2647 -2.2464 8.3631
22 1 9.2392 -1.8535 8.1136
23 6 8.1131 -3.0801 9.4625
24 7 6.9254 -3.5586 9.7669
25 14 9.5950 -3.5231 10.5101
26 1 10.8052 -2.8606 9.9609
27 1 9.3701 -3.0647 11.9047
28 1 9.7873 -4.9955 10.4980
29 6 5.6997 -0.5530 4.5139
30 7 4.3933 -0.3961 2.1355
31 1 4.1555 0.0367 2.9704
32 1 -0.3633 0.5138 0.8900
33 1 -0.3634 0.5139 -0.8900
34 1 -0.3634 -1.0277 -0.0005
35 1 1.8933 -0.5138 -0.8901
36 1 1.6767 1.9563 0.8900
37 1 3.1300 1.4426 0.0005
38 1 1.6767 1.9564 -0.8899
39 1 1.6054 -1.7198 1.2951
40 1 1.7517 -0.1584 2.1369
41 1 6.3301 -1.6408 -0.1557
42 1 8.1832 0.9593 4.8344
43 1 9.0385 -0.1307 3.7213
44 1 9.2851 -0.7326 6.1889
45 1 8.6258 -2.0467 5.1777
46 1 4.4547 -0.9080 6.8660
47 1 4.2187 -2.5898 6.2849
48 1 5.3966 -1.9702 8.7410
49 1 5.7483 -3.4666 7.8306
50 1 6.8195 -4.1415 10.5349
51 1 4.9079 -0.8990 3.8494
52 1 5.3929 0.3636 5.0176
RHF calculation, no. of doubly occupied orbitals= 66
REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN:
H: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985)
C: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985)
N: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985)
O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985)
Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987).
REFERENCE FOR CHARGE MODEL 2:
J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885.
REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL:
J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and
D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63
P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted.
CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R
& SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93
& DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV
ZINC001036717242.mol2 52
1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED
SCF FIELD WAS ACHIEVED
Wall clock time and date at job start Wed Apr 1 2020 06:22:29
Heat of formation + Delta-G solvation = 54.113215 kcal
Electronic energy + Delta-G solvation = -31488.413100 eV
Core-core repulsion = 27489.631507 eV
Total energy + Delta-G solvation = -3998.781593 eV
No. of doubly occupied orbitals = 66
Molecular weight
(most abundant/longest-lived isotopes) = 346.211 amu
Computer time = 21.05 seconds
Orbital eigenvalues (eV)
-42.57718 -40.03773 -38.31432 -36.68485 -35.43752 -33.29223 -32.67779 -31.81788
-30.71507 -29.64132 -28.23896 -27.50574 -27.23084 -25.09559 -23.92595 -23.05962
-21.93190 -21.48326 -20.80946 -20.04421 -19.80778 -19.38148 -17.77262 -16.93434
-16.38010 -15.90963 -15.84159 -15.40348 -15.19801 -14.75891 -14.55758 -14.41806
-14.09160 -13.99791 -13.74004 -13.71214 -13.30642 -13.12402 -12.77050 -12.68837
-12.63656 -12.42311 -12.26629 -11.89226 -11.69842 -11.50200 -11.44400 -11.30005
-11.04430 -10.90772 -10.87250 -10.74768 -10.52249 -10.30069 -10.21761 -10.16091
-9.99958 -9.99553 -9.70141 -9.55170 -8.82472 -8.70418 -8.51524 -6.92592
-5.79069 -3.12480 1.21985 2.51406 2.67020 2.87050 3.25709 3.35401
3.41479 3.43432 4.02355 4.32787 4.40164 4.43140 4.55840 4.64728
4.73693 4.91107 4.99656 5.10395 5.14726 5.21083 5.26862 5.27989
5.31165 5.33393 5.38861 5.41669 5.49261 5.52234 5.61031 5.67008
5.68015 5.74750 5.78460 5.79052 5.93596 5.97435 6.03325 6.04597
6.12002 6.26052 6.31174 6.40498 6.47114 6.53240 6.70226 6.93918
6.95915 7.24116 7.45357 7.50898 7.72676 7.74800 8.04598 8.15878
9.11843 9.75294 10.41807 11.33660
Molecular weight = 346.21amu
Principal moments of inertia in cm(-1)
A = 0.017361 B = 0.002582 C = 0.002344
Principal moments of inertia in units of 10**(-40)*gram-cm**2
A = 1612.414738 B =10840.475262 C =11943.995543
Net atomic charges, atomic populations, and dipole contributions
calculated with CM2
Atom NO. Type Charge No. of electrons
1 C -0.148 4.148
2 C -0.088 4.088
3 C -0.148 4.148
4 C -0.035 4.035
5 C 0.237 3.763
6 N -0.490 5.490
7 C 0.064 3.936
8 C -0.079 4.079
9 C 0.591 3.409
10 O -0.532 6.532
11 N -0.604 5.604
12 C 0.118 3.882
13 C -0.129 4.129
14 C 0.169 3.831
15 H 0.020 0.980
16 C -0.125 4.125
17 H 0.083 0.917
18 C -0.137 4.137
19 C 0.177 3.823
20 N -0.594 5.594
21 C -0.226 4.226
22 H 0.080 0.920
23 C -0.008 4.008
24 N -0.922 5.922
25 Si 0.910 3.090
26 H -0.279 1.279
27 H -0.291 1.291
28 H -0.290 1.290
29 C 0.102 3.898
30 N -0.552 5.552
31 H 0.425 0.575
32 H 0.055 0.945
33 H 0.058 0.942
34 H 0.058 0.942
35 H 0.086 0.914
36 H 0.052 0.948
37 H 0.053 0.947
38 H 0.057 0.943
39 H 0.096 0.904
40 H 0.080 0.920
41 H 0.181 0.819
42 H 0.064 0.936
43 H 0.091 0.909
44 H 0.078 0.922
45 H 0.068 0.932
46 H 0.058 0.942
47 H 0.061 0.939
48 H 0.039 0.961
49 H 0.055 0.945
50 H 0.252 0.748
51 H 0.082 0.918
52 H 0.078 0.922
For the charges calculated by CM2:
Dipole moment (debyes) X Y Z Total
from point charges -12.344 8.742 -16.408 22.316
Note: The Mulliken population analysis charges presented below were not
used in the solvation calculation but are provided for completeness.
The chosen solvation model uses CM2 partial charges for calculating
solvation energies.
Net atomic charges, atomic populations, and dipole contributions
using Mulliken population analysis
Atom NO. Type Charge No. of electrons
1 C -0.205 4.205
2 C -0.108 4.108
3 C -0.206 4.206
4 C -0.074 4.074
5 C -0.026 4.026
6 N -0.210 5.210
7 C -0.090 4.090
8 C -0.195 4.195
9 C 0.379 3.621
10 O -0.409 6.409
11 N -0.336 5.336
12 C -0.005 4.005
13 C -0.169 4.169
14 C 0.061 3.939
15 H 0.038 0.962
16 C -0.145 4.145
17 H 0.102 0.898
18 C -0.176 4.176
19 C 0.053 3.947
20 N -0.319 5.319
21 C -0.354 4.354
22 H 0.098 0.902
23 C -0.204 4.204
24 N -0.569 5.569
25 Si 0.741 3.259
26 H -0.205 1.205
27 H -0.218 1.218
28 H -0.217 1.217
29 C -0.020 4.020
30 N -0.162 5.162
31 H 0.269 0.731
32 H 0.074 0.926
33 H 0.077 0.923
34 H 0.077 0.923
35 H 0.105 0.895
36 H 0.071 0.929
37 H 0.072 0.928
38 H 0.076 0.924
39 H 0.114 0.886
40 H 0.099 0.901
41 H 0.198 0.802
42 H 0.082 0.918
43 H 0.110 0.890
44 H 0.097 0.903
45 H 0.087 0.913
46 H 0.077 0.923
47 H 0.079 0.921
48 H 0.058 0.942
49 H 0.074 0.926
50 H 0.062 0.938
51 H 0.099 0.901
52 H 0.096 0.904
Dipole moment (debyes) X Y Z Total
from point charges -12.014 8.384 -17.198 22.592
hybrid contribution 1.011 0.188 1.946 2.201
sum -11.003 8.573 -15.252 20.668
Atomic orbital electron populations
1.21844 0.94572 1.02070 1.02018 1.21062 0.95599 0.96227 0.97886
1.21865 1.01172 0.95788 1.01737 1.20249 0.84448 1.02918 0.99804
1.23389 0.94732 0.98083 0.86405 1.70124 1.03747 1.21432 1.25665
1.22587 0.93869 0.99373 0.93124 1.21093 0.84391 1.14275 0.99726
1.16982 0.86468 0.77013 0.81653 1.90827 1.33421 1.50612 1.66062
1.48513 1.10346 1.69775 1.04996 1.21687 0.85199 0.98532 0.95048
1.21912 1.00013 0.99283 0.95653 1.20639 0.92218 0.93835 0.87230
0.96248 1.22629 0.99151 0.97798 0.94934 0.89846 1.22747 0.97049
1.00441 0.97347 1.21544 0.82170 0.98645 0.92348 1.44233 1.04964
1.55083 1.27596 1.19047 0.87132 1.24110 1.05125 0.90245 1.24795
0.96915 0.99923 0.98763 1.69934 1.20627 1.37220 1.29151 0.86067
0.81690 0.77958 0.80199 1.20467 1.21755 1.21745 1.22417 0.85738
0.99555 0.94319 1.44035 1.06093 1.46697 1.19421 0.73113 0.92611
0.92335 0.92327 0.89528 0.92869 0.92828 0.92437 0.88574 0.90126
0.80179 0.91756 0.89043 0.90337 0.91304 0.92348 0.92064 0.94245
0.92628 0.93761 0.90054 0.90429
Number of geometries 1
Number of calculations of the screened coulomb radii 1
The total number of SCF iterations 14.
Note: The number of geometries may not
correspond to the number of cycles due to rejected geometry changes.
In the following table subtotal= G_P + SS G_CDS.
Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M
number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value
1 C -0.15 -0.75 9.19 37.16 0.34 -0.41 16
2 C -0.09 -0.59 2.89 -90.62 -0.26 -0.85 16
3 C -0.15 -1.03 9.01 37.16 0.33 -0.69 16
4 C -0.04 -0.24 5.32 -27.88 -0.15 -0.39 16
5 C 0.24 2.36 6.38 -155.61 -0.99 1.37 16
6 N -0.49 -6.07 11.09 -10.58 -0.12 -6.19 16
7 C 0.06 0.83 11.76 -17.47 -0.21 0.62 16
8 C -0.08 -1.02 6.37 -82.14 -0.52 -1.54 16
9 C 0.59 8.79 7.62 -12.81 -0.10 8.69 16
10 O -0.53 -9.41 16.34 5.21 0.09 -9.32 16
11 N -0.60 -8.40 3.01 -173.00 -0.52 -8.92 16
12 C 0.12 1.71 6.33 -3.49 -0.02 1.68 16
13 C -0.13 -2.22 5.45 -26.98 -0.15 -2.36 16
14 C 0.17 3.20 2.57 -67.98 -0.17 3.02 16
15 H 0.02 0.38 7.93 -51.93 -0.41 -0.03 16
16 C -0.12 -1.99 2.84 -89.37 -0.25 -2.24 16
17 H 0.08 1.50 8.12 -51.93 -0.42 1.07 16
18 C -0.14 -2.26 6.53 -25.13 -0.16 -2.42 16
19 C 0.18 4.03 5.45 -1.86 -0.01 4.02 16
20 N -0.59 -14.24 3.35 -163.02 -0.55 -14.79 16
21 C -0.23 -6.01 9.86 -15.06 -0.15 -6.16 16
22 H 0.08 2.05 7.18 -52.49 -0.38 1.67 16
23 C -0.01 -0.21 5.49 -17.43 -0.10 -0.31 16
24 N -0.92 -26.36 10.44 55.49 0.58 -25.78 16
25 Si 0.91 21.70 29.55 -169.99 -5.02 16.68 16
26 H -0.28 -6.46 7.11 56.52 0.40 -6.06 16
27 H -0.29 -6.99 7.11 56.52 0.40 -6.59 16
28 H -0.29 -7.01 7.11 56.52 0.40 -6.61 16
29 C 0.10 1.25 5.11 -3.10 -0.02 1.23 16
30 N -0.55 -5.46 4.79 -7.02 -0.03 -5.49 16
31 H 0.42 3.25 6.46 -40.82 -0.26 2.99 16
32 H 0.05 0.25 8.14 -51.93 -0.42 -0.17 16
33 H 0.06 0.29 8.14 -51.93 -0.42 -0.14 16
34 H 0.06 0.28 8.14 -51.93 -0.42 -0.14 16
35 H 0.09 0.71 8.06 -51.93 -0.42 0.29 16
36 H 0.05 0.32 8.14 -51.93 -0.42 -0.10 16
37 H 0.05 0.47 7.38 -51.93 -0.38 0.09 16
38 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16
39 H 0.10 0.60 8.14 -51.93 -0.42 0.18 16
40 H 0.08 0.39 8.14 -51.93 -0.42 -0.03 16
41 H 0.18 2.15 8.06 -52.49 -0.42 1.72 16
42 H 0.06 0.85 8.14 -51.93 -0.42 0.43 16
43 H 0.09 1.37 6.95 -51.93 -0.36 1.01 16
44 H 0.08 1.37 7.59 -51.93 -0.39 0.97 16
45 H 0.07 1.28 8.11 -51.93 -0.42 0.85 16
46 H 0.06 0.85 8.11 -51.93 -0.42 0.43 16
47 H 0.06 0.91 8.14 -51.93 -0.42 0.49 16
48 H 0.04 0.99 7.77 -51.93 -0.40 0.59 16
49 H 0.06 1.43 7.21 -51.93 -0.37 1.05 16
50 H 0.25 7.03 8.31 -40.82 -0.34 6.69 16
51 H 0.08 0.85 3.92 -51.93 -0.20 0.65 16
52 H 0.08 0.83 8.08 -51.93 -0.42 0.41 16
LS Contribution 400.61 15.07 6.04 6.04
Total: -1.00 -32.09 400.61 -10.76 -42.85
By element:
Atomic # 1 Polarization: 10.29 SS G_CDS: -8.64 Total: 1.65 kcal
Atomic # 6 Polarization: 5.86 SS G_CDS: -2.59 Total: 3.27 kcal
Atomic # 7 Polarization: -60.53 SS G_CDS: -0.64 Total: -61.17 kcal
Atomic # 8 Polarization: -9.41 SS G_CDS: 0.09 Total: -9.32 kcal
Atomic # 14 Polarization: 21.70 SS G_CDS: -5.02 Total: 16.68 kcal
Total LS contribution 6.04 Total: 6.04 kcal
Total: -32.09 -10.76 -42.85 kcal
The number of atoms in the molecule is 52
The average number of expansion shells was 16.00
The maximum number of expansion shells was 16
The minimum number of expansion shells was 16
**** NOTA BENE ****
This is the net solvation energy for this exact molecular structure
(nuclear and electronic)! The standard-state solvation energy should be
obtained as the difference between the heat of formation plus delta-G solvation
for the relaxed solvated system and that for the relaxed gas-phase system.
ZINC001036717242.mol2 52
1SCF run
This is a breakdown of the solvation energy calculated
without geometric relaxation in solution:
(1) E-EN(sol) electronic-nuclear energy of solute 96.968 kcal
(2) G-P(sol) polarization free energy of solvation -32.091 kcal
(3) G-ENP(sol) elect.-nuc.-pol. free energy of system 64.877 kcal
(4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.764 kcal
(5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.855 kcal
(6) G-S(sol) free energy of system = (1) + (5) 54.113 kcal
1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED
Total computer time = 21.06 seconds