Wall clock time and date at job start Sat Apr 11 2020 06:13:04 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 O 1.42908 * 1 3 3 C 1.42895 * 114.00291 * 2 1 4 4 C 1.52994 * 109.47149 * 179.97438 * 3 2 1 5 5 C 1.50696 * 109.54259 * 299.99467 * 4 3 2 6 6 O 1.21282 * 120.00435 * 240.00105 * 5 4 3 7 7 N 1.34776 * 119.99936 * 59.99989 * 5 4 3 8 8 C 1.46502 * 119.99710 * 179.97438 * 7 5 4 9 9 C 1.53009 * 109.47028 * 180.02562 * 8 7 5 10 10 C 1.53081 * 109.45003 * 64.78861 * 9 8 7 11 11 C 1.53190 * 109.29209 * 181.24476 * 10 9 8 12 12 N 1.46921 * 108.89311 * 305.57883 * 11 10 9 13 13 C 1.36940 * 120.63187 * 233.51481 * 12 11 10 14 14 H 1.08001 * 120.00319 * 152.61971 * 13 12 11 15 15 C 1.38813 * 119.99903 * 332.62203 * 13 12 11 16 16 N 1.31624 * 120.00070 * 159.34992 * 15 13 12 17 17 Si 1.86800 * 120.00077 * 339.35529 * 15 13 12 18 18 H 1.48494 * 109.47321 * 92.87851 * 17 15 13 19 19 H 1.48501 * 109.47194 * 212.88430 * 17 15 13 20 20 H 1.48509 * 109.46983 * 332.87654 * 17 15 13 21 21 C 1.46923 * 118.74178 * 53.54201 * 12 11 10 22 22 C 1.53035 * 109.46080 * 185.00040 * 9 8 7 23 23 C 1.53182 * 109.54703 * 60.17459 * 4 3 2 24 24 C 1.53281 * 109.06694 * 176.85427 * 23 4 3 25 25 O 1.42898 * 109.45862 * 302.44416 * 24 23 4 26 26 C 1.42903 * 114.10178 * 61.15609 * 25 24 23 27 27 C 1.53099 * 109.41571 * 298.84358 * 26 25 24 28 28 H 1.08998 * 109.46413 * 60.00701 * 1 2 3 29 29 H 1.08995 * 109.47346 * 180.02562 * 1 2 3 30 30 H 1.08995 * 109.46988 * 300.00653 * 1 2 3 31 31 H 1.08997 * 109.47591 * 59.98850 * 3 2 1 32 32 H 1.09010 * 109.46639 * 299.99520 * 3 2 1 33 33 H 0.96993 * 119.99928 * 0.02562 * 7 5 4 34 34 H 1.08997 * 109.47475 * 60.00515 * 8 7 5 35 35 H 1.09001 * 109.47422 * 299.99562 * 8 7 5 36 36 H 1.08996 * 109.45707 * 304.97826 * 9 8 7 37 37 H 1.08992 * 109.38800 * 61.36895 * 10 9 8 38 38 H 1.09002 * 109.61927 * 301.26174 * 10 9 8 39 39 H 1.08999 * 109.58729 * 185.71870 * 11 10 9 40 40 H 1.09004 * 109.58886 * 65.43758 * 11 10 9 41 41 H 0.97001 * 119.99914 * 180.02562 * 16 15 13 42 42 H 1.09004 * 109.59094 * 66.17180 * 21 12 11 43 43 H 1.09001 * 109.59077 * 186.46452 * 21 12 11 44 44 H 1.09002 * 109.49848 * 58.66468 * 22 9 8 45 45 H 1.08999 * 109.49849 * 298.56276 * 22 9 8 46 46 H 1.09003 * 109.51616 * 296.84635 * 23 4 3 47 47 H 1.09003 * 109.52335 * 57.02793 * 23 4 3 48 48 H 1.08999 * 109.45577 * 182.44792 * 24 23 4 49 49 H 1.08998 * 109.46764 * 62.44283 * 24 23 4 50 50 H 1.09001 * 109.48604 * 178.86088 * 26 25 24 51 51 H 1.09001 * 109.48741 * 58.82783 * 26 25 24 52 52 H 1.08992 * 109.51927 * 297.69961 * 27 26 25 53 53 H 1.08995 * 109.57044 * 177.54132 * 27 26 25 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 8 1.4291 0.0000 0.0000 3 6 2.0104 1.3054 0.0000 4 6 3.5355 1.1845 0.0006 5 6 3.9814 0.4372 1.2309 6 8 4.7233 0.9702 2.0287 7 7 3.5558 -0.8236 1.4447 8 6 3.9898 -1.5503 2.6405 9 6 3.3687 -2.9487 2.6409 10 6 3.9134 -3.7488 1.4549 11 6 3.2660 -5.1371 1.4409 12 7 3.4756 -5.7730 2.7486 13 6 4.0397 -7.0177 2.8368 14 1 4.5878 -7.3007 3.7233 15 6 3.9070 -7.9158 1.7866 16 7 4.7488 -8.9209 1.6699 17 14 2.5339 -7.6978 0.5390 18 1 3.0322 -6.9025 -0.6117 19 1 2.0825 -9.0297 0.0619 20 1 1.3951 -6.9880 1.1753 21 6 3.0680 -5.0485 3.9600 22 6 3.7202 -3.6623 3.9483 23 6 3.9902 0.4281 -1.2514 24 6 5.5221 0.3819 -1.2798 25 8 6.0391 1.7138 -1.2511 26 6 5.6838 2.4525 -0.0806 27 6 4.1604 2.5831 -0.0040 28 1 -0.3632 0.5137 -0.8901 29 1 -0.3634 -1.0276 0.0005 30 1 -0.3633 0.5139 0.8899 31 1 1.6887 1.8464 0.8898 32 1 1.6887 1.8463 -0.8901 33 1 2.9628 -1.2501 0.8065 34 1 3.6689 -1.0096 3.5308 35 1 5.0765 -1.6359 2.6393 36 1 2.2856 -2.8649 2.5527 37 1 4.9939 -3.8522 1.5539 38 1 3.6808 -3.2294 0.5253 39 1 3.7235 -5.7457 0.6610 40 1 2.1974 -5.0400 1.2489 41 1 4.6563 -9.5482 0.9358 42 1 1.9833 -4.9418 3.9746 43 1 3.3929 -5.5999 4.8424 44 1 3.3506 -3.0792 4.7918 45 1 4.8022 -3.7687 4.0252 46 1 3.5934 -0.5869 -1.2278 47 1 3.6251 0.9424 -2.1404 48 1 5.8534 -0.1172 -2.1904 49 1 5.8851 -0.1677 -0.4113 50 1 6.1318 3.4452 -0.1272 51 1 6.0488 1.9302 0.8038 52 1 3.7987 3.1408 -0.8678 53 1 3.8844 3.1083 0.9103 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 ZINC000354641384.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:13:04 Heat of formation + Delta-G solvation = -114.750493 kcal Electronic energy + Delta-G solvation = -32341.129076 eV Core-core repulsion = 28213.190862 eV Total energy + Delta-G solvation = -4127.938213 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.97 seconds Orbital eigenvalues (eV) -41.17031 -38.67439 -38.11167 -37.81288 -35.09827 -34.45685 -32.86539 -31.37868 -30.87046 -30.37836 -28.59671 -27.15456 -26.34370 -24.30584 -23.80353 -23.19232 -22.83552 -22.07656 -21.00352 -19.84861 -19.09721 -17.20522 -16.84365 -16.77665 -16.67899 -16.16046 -15.97757 -15.76229 -15.29500 -15.15156 -14.82270 -14.76741 -14.21144 -14.10418 -13.94358 -13.68712 -13.53073 -13.22549 -12.78301 -12.72298 -12.57954 -12.48232 -12.37480 -12.18883 -12.14052 -11.78405 -11.76058 -11.52775 -11.32748 -10.94488 -10.82468 -10.71416 -10.59361 -10.48681 -10.16250 -10.13994 -9.98660 -9.82455 -9.66426 -9.45904 -9.41087 -8.93379 -8.61546 -6.96887 -5.94595 -3.30023 2.52304 3.10572 3.28578 3.30646 3.47113 3.49995 3.71939 4.22348 4.30832 4.47719 4.52784 4.71780 4.74750 4.89606 4.92065 4.95495 4.99334 5.02472 5.05747 5.08930 5.12152 5.29099 5.32476 5.33479 5.37506 5.39622 5.41483 5.50546 5.56744 5.72626 5.74138 5.78155 5.79261 5.86938 5.91655 5.98548 6.07460 6.18995 6.34865 6.38682 6.49713 6.54285 6.65225 6.65625 6.65950 6.71569 6.98144 7.02213 7.58195 7.97366 8.22868 8.33543 8.95205 9.72818 10.11030 11.21555 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014209 B = 0.003108 C = 0.003064 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1970.168519 B = 9007.927239 C = 9137.659485 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.034 3.966 2 O -0.391 6.391 3 C 0.075 3.925 4 C -0.079 4.079 5 C 0.523 3.477 6 O -0.546 6.546 7 N -0.710 5.710 8 C 0.123 3.877 9 C -0.090 4.090 10 C -0.128 4.128 11 C 0.127 3.873 12 N -0.606 5.606 13 C -0.259 4.259 14 H 0.085 0.915 15 C 0.022 3.978 16 N -0.909 5.909 17 Si 0.884 3.116 18 H -0.289 1.289 19 H -0.304 1.304 20 H -0.271 1.271 21 C 0.150 3.850 22 C -0.126 4.126 23 C -0.139 4.139 24 C 0.057 3.943 25 O -0.384 6.384 26 C 0.051 3.949 27 C -0.126 4.126 28 H 0.043 0.957 29 H 0.091 0.909 30 H 0.042 0.958 31 H 0.056 0.944 32 H 0.063 0.937 33 H 0.409 0.591 34 H 0.062 0.938 35 H 0.066 0.934 36 H 0.069 0.931 37 H 0.066 0.934 38 H 0.050 0.950 39 H 0.072 0.928 40 H 0.023 0.977 41 H 0.262 0.738 42 H 0.021 0.979 43 H 0.063 0.937 44 H 0.056 0.944 45 H 0.065 0.935 46 H 0.087 0.913 47 H 0.082 0.918 48 H 0.099 0.901 49 H 0.052 0.948 50 H 0.092 0.908 51 H 0.079 0.921 52 H 0.077 0.923 53 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.826 24.315 -5.190 25.782 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 -0.062 4.062 2 O -0.310 6.310 3 C -0.002 4.002 4 C -0.082 4.082 5 C 0.308 3.692 6 O -0.425 6.425 7 N -0.363 5.363 8 C -0.001 4.001 9 C -0.109 4.109 10 C -0.167 4.167 11 C 0.001 3.999 12 N -0.330 5.330 13 C -0.387 4.387 14 H 0.103 0.897 15 C -0.176 4.176 16 N -0.552 5.552 17 Si 0.714 3.286 18 H -0.217 1.217 19 H -0.232 1.232 20 H -0.197 1.197 21 C 0.024 3.976 22 C -0.166 4.166 23 C -0.177 4.177 24 C -0.020 4.020 25 O -0.302 6.302 26 C -0.026 4.026 27 C -0.164 4.164 28 H 0.061 0.939 29 H 0.109 0.891 30 H 0.061 0.939 31 H 0.074 0.926 32 H 0.081 0.919 33 H 0.247 0.753 34 H 0.081 0.919 35 H 0.084 0.916 36 H 0.088 0.912 37 H 0.084 0.916 38 H 0.069 0.931 39 H 0.090 0.910 40 H 0.041 0.959 41 H 0.072 0.928 42 H 0.039 0.961 43 H 0.082 0.918 44 H 0.075 0.925 45 H 0.084 0.916 46 H 0.105 0.895 47 H 0.101 0.899 48 H 0.117 0.883 49 H 0.070 0.930 50 H 0.111 0.889 51 H 0.097 0.903 52 H 0.096 0.904 53 H 0.100 0.900 Dipole moment (debyes) X Y Z Total from point charges -6.035 24.395 -4.819 25.588 hybrid contribution -1.583 -0.084 -0.880 1.813 sum -7.617 24.311 -5.700 26.106 Atomic orbital electron populations 1.22769 0.80073 1.03361 1.00021 1.87726 1.20449 1.27358 1.95420 1.22491 0.91136 0.85376 1.01207 1.20977 0.94852 0.97343 0.95040 1.20191 0.80355 0.81975 0.86682 1.90639 1.36616 1.68039 1.47195 1.46173 1.50019 1.14187 1.25895 1.21527 0.99618 0.91913 0.86997 1.21286 0.99945 0.92366 0.97266 1.22076 1.01405 0.97204 0.96006 1.21306 0.96883 0.92299 0.89406 1.44352 1.72008 1.16704 0.99919 1.18940 1.26528 0.88145 1.05118 0.89727 1.25283 0.98268 0.95862 0.98235 1.69843 1.35724 1.17291 1.32363 0.86936 0.84633 0.75665 0.81333 1.21669 1.23233 1.19657 1.20903 0.95604 0.90703 0.90426 1.21980 1.01823 0.97745 0.95027 1.22252 0.97306 1.01831 0.96316 1.22640 0.92265 0.84389 1.02680 1.87903 1.74589 1.25424 1.42314 1.22807 0.93310 0.97171 0.89269 1.21965 0.97407 0.93783 1.03286 0.93877 0.89080 0.93944 0.92604 0.91913 0.75268 0.91931 0.91577 0.91240 0.91552 0.93105 0.91043 0.95937 0.92802 0.96121 0.91805 0.92538 0.91609 0.89475 0.89945 0.88336 0.93000 0.88946 0.90334 0.90435 0.89962 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 0.03 0.23 11.01 101.05 1.11 1.34 16 2 O -0.39 -3.48 7.62 -35.23 -0.27 -3.75 16 3 C 0.07 0.60 4.80 37.15 0.18 0.78 16 4 C -0.08 -0.76 0.53 -155.48 -0.08 -0.84 16 5 C 0.52 6.60 5.14 -10.99 -0.06 6.55 16 6 O -0.55 -8.44 13.85 5.56 0.08 -8.36 16 7 N -0.71 -8.80 4.80 -60.29 -0.29 -9.09 16 8 C 0.12 1.66 5.07 -4.04 -0.02 1.64 16 9 C -0.09 -1.32 2.18 -90.56 -0.20 -1.51 16 10 C -0.13 -2.16 5.25 -26.59 -0.14 -2.30 16 11 C 0.13 2.69 4.20 -3.71 -0.02 2.67 16 12 N -0.61 -14.18 2.77 -172.32 -0.48 -14.66 16 13 C -0.26 -7.21 10.03 -15.06 -0.15 -7.36 16 14 H 0.09 2.52 8.06 -52.49 -0.42 2.09 16 15 C 0.02 0.64 5.23 -17.43 -0.09 0.55 16 16 N -0.91 -27.89 13.97 55.49 0.78 -27.11 16 17 Si 0.88 22.24 24.34 -169.99 -4.14 18.10 16 18 H -0.29 -6.99 6.62 56.52 0.37 -6.61 16 19 H -0.30 -7.80 7.11 56.52 0.40 -7.40 16 20 H -0.27 -6.69 6.64 56.52 0.38 -6.31 16 21 C 0.15 2.87 6.52 -3.71 -0.02 2.84 16 22 C -0.13 -1.98 5.37 -26.61 -0.14 -2.12 16 23 C -0.14 -1.28 4.68 -26.49 -0.12 -1.41 16 24 C 0.06 0.61 6.62 37.30 0.25 0.85 16 25 O -0.38 -4.54 10.77 -35.23 -0.38 -4.91 16 26 C 0.05 0.54 6.55 37.21 0.24 0.78 16 27 C -0.13 -1.14 4.56 -26.59 -0.12 -1.26 16 28 H 0.04 0.23 8.14 -51.93 -0.42 -0.19 16 29 H 0.09 0.59 8.14 -51.93 -0.42 0.17 16 30 H 0.04 0.26 8.14 -51.93 -0.42 -0.16 16 31 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 32 H 0.06 0.40 8.14 -51.92 -0.42 -0.02 16 33 H 0.41 4.81 5.01 -40.82 -0.20 4.60 16 34 H 0.06 0.85 8.14 -51.93 -0.42 0.42 16 35 H 0.07 0.97 8.14 -51.93 -0.42 0.55 16 36 H 0.07 1.00 8.14 -51.93 -0.42 0.58 16 37 H 0.07 1.21 8.14 -51.93 -0.42 0.78 16 38 H 0.05 0.75 7.15 -51.93 -0.37 0.38 16 39 H 0.07 1.69 4.50 -51.93 -0.23 1.45 16 40 H 0.02 0.47 7.07 -51.93 -0.37 0.11 16 41 H 0.26 7.63 8.31 -40.82 -0.34 7.30 16 42 H 0.02 0.38 8.14 -51.93 -0.42 -0.04 16 43 H 0.06 1.23 7.93 -51.93 -0.41 0.82 16 44 H 0.06 0.76 8.14 -51.93 -0.42 0.33 16 45 H 0.07 1.10 8.14 -51.93 -0.42 0.68 16 46 H 0.09 0.82 7.16 -51.93 -0.37 0.44 16 47 H 0.08 0.67 8.14 -51.93 -0.42 0.24 16 48 H 0.10 0.90 8.14 -51.93 -0.42 0.48 16 49 H 0.05 0.63 7.38 -51.93 -0.38 0.25 16 50 H 0.09 0.81 8.14 -51.93 -0.42 0.39 16 51 H 0.08 1.01 5.81 -51.93 -0.30 0.71 16 52 H 0.08 0.57 8.14 -51.93 -0.42 0.15 16 53 H 0.08 0.73 8.02 -51.93 -0.42 0.32 16 LS Contribution 392.88 15.07 5.92 5.92 Total: -1.00 -32.54 392.88 -7.60 -40.14 By element: Atomic # 1 Polarization: 11.95 SS G_CDS: -9.44 Total: 2.52 kcal Atomic # 6 Polarization: 0.59 SS G_CDS: 0.62 Total: 1.21 kcal Atomic # 7 Polarization: -50.87 SS G_CDS: 0.01 Total: -50.86 kcal Atomic # 8 Polarization: -16.46 SS G_CDS: -0.57 Total: -17.03 kcal Atomic # 14 Polarization: 22.24 SS G_CDS: -4.14 Total: 18.10 kcal Total LS contribution 5.92 Total: 5.92 kcal Total: -32.54 -7.60 -40.14 kcal The number of atoms in the molecule is 53 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. ZINC000354641384.mol2 53 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 -74.607 kcal (2) G-P(sol) polarization free energy of solvation -32.542 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -107.149 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.602 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.143 kcal (6) G-S(sol) free energy of system = (1) + (5) -114.750 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.97 seconds