Wall clock time and date at job start Sat Apr 11 2020 06:08:46 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 1.53004 * 1 3 3 C 1.52997 * 109.47192 * 2 1 4 4 C 1.50705 * 109.46900 * 240.00659 * 2 1 3 5 5 H 1.07997 * 119.99337 * 239.99842 * 4 2 1 6 6 C 1.37872 * 120.00148 * 59.99789 * 4 2 1 7 7 N 1.31514 * 120.00337 * 0.02562 * 6 4 2 8 8 Si 1.86802 * 119.99821 * 180.02562 * 6 4 2 9 9 H 1.48503 * 109.47117 * 0.02562 * 8 6 4 10 10 H 1.48501 * 109.47008 * 120.00002 * 8 6 4 11 11 H 1.48503 * 109.47379 * 240.00076 * 8 6 4 12 12 C 1.52997 * 109.47135 * 120.00239 * 2 1 3 13 13 N 1.46496 * 109.47190 * 299.99806 * 12 2 1 14 14 C 1.34779 * 119.99901 * 179.97438 * 13 12 2 15 15 O 1.21346 * 119.99901 * 0.02562 * 14 13 12 16 16 C 1.49452 * 120.00082 * 179.97438 * 14 13 12 17 17 O 1.21356 * 119.99407 * 0.02562 * 16 14 13 18 18 N 1.34772 * 120.00277 * 180.02562 * 16 14 13 19 19 C 1.46496 * 120.00096 * 180.02562 * 18 16 14 20 20 C 1.53005 * 109.47070 * 179.97438 * 19 18 16 21 21 H 1.09000 * 109.48841 * 59.97453 * 20 19 18 22 22 C 1.53091 * 109.47963 * 180.02562 * 20 19 18 23 23 C 1.53177 * 109.16264 * 177.59491 * 22 20 19 24 24 C 1.53179 * 109.10692 * 302.97408 * 23 22 20 25 25 C 1.53280 * 109.06328 * 56.94222 * 24 23 22 26 26 C 1.53002 * 109.45473 * 182.44699 * 25 24 23 27 27 C 1.53001 * 109.46674 * 62.44729 * 25 24 23 28 28 O 1.42901 * 109.46155 * 302.44168 * 25 24 23 29 29 H 1.09001 * 109.46870 * 300.00117 * 1 2 3 30 30 H 1.09000 * 109.47220 * 59.99537 * 1 2 3 31 31 H 1.08991 * 109.46870 * 179.97438 * 1 2 3 32 32 H 1.09000 * 109.47455 * 179.97438 * 3 2 1 33 33 H 1.09000 * 109.47416 * 300.00342 * 3 2 1 34 34 H 1.09001 * 109.47309 * 60.00151 * 3 2 1 35 35 H 0.96997 * 119.99908 * 179.97438 * 7 6 4 36 36 H 1.09000 * 109.46869 * 179.97438 * 12 2 1 37 37 H 1.09002 * 109.47016 * 59.99937 * 12 2 1 38 38 H 0.96995 * 119.99885 * 0.02562 * 13 12 2 39 39 H 0.97000 * 119.99718 * 359.97438 * 18 16 14 40 40 H 1.09000 * 109.47167 * 60.00180 * 19 18 16 41 41 H 1.08991 * 109.47617 * 300.00131 * 19 18 16 42 42 H 1.09004 * 109.52607 * 57.68721 * 22 20 19 43 43 H 1.09000 * 109.52199 * 297.50098 * 22 20 19 44 44 H 1.09002 * 109.54459 * 62.88629 * 23 22 20 45 45 H 1.08999 * 109.54390 * 183.06550 * 23 22 20 46 46 H 1.09006 * 109.52033 * 176.93325 * 24 23 22 47 47 H 1.09002 * 109.52377 * 297.11395 * 24 23 22 48 48 H 1.09005 * 109.47062 * 179.97438 * 26 25 24 49 49 H 1.09006 * 109.47265 * 299.98130 * 26 25 24 50 50 H 1.08994 * 109.47412 * 59.98749 * 26 25 24 51 51 H 1.08991 * 109.47093 * 300.00680 * 27 25 24 52 52 H 1.09000 * 109.47288 * 60.00981 * 27 25 24 53 53 H 1.08999 * 109.46834 * 180.02562 * 27 25 24 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 2.0401 1.4425 0.0000 4 6 2.0323 -0.7103 -1.2306 5 1 2.6532 -1.5884 -1.1315 6 6 1.6992 -0.2392 -2.4828 7 7 0.9435 0.8304 -2.6034 8 14 2.3213 -1.1201 -4.0081 9 1 3.1454 -2.2875 -3.6040 10 1 1.1659 -1.5863 -4.8162 11 1 3.1466 -0.1871 -4.8166 12 6 2.0400 -0.7213 1.2492 13 7 1.5518 -0.0307 2.4454 14 6 1.8770 -0.4916 3.6695 15 8 2.5746 -1.4782 3.7807 16 6 1.3793 0.2132 4.8898 17 8 0.6821 1.2002 4.7784 18 7 1.7049 -0.2473 6.1138 19 6 1.2167 0.4433 7.3100 20 6 1.7262 -0.2784 8.5592 21 1 2.8162 -0.2794 8.5595 22 6 1.2155 0.4427 9.8094 23 6 1.6794 -0.3197 11.0544 24 6 1.1777 -1.7647 10.9733 25 6 1.6900 -2.4005 9.6760 26 6 1.1438 -3.8246 9.5562 27 6 3.2193 -2.4406 9.6970 28 8 1.2488 -1.6254 8.5594 29 1 -0.3633 0.5139 0.8900 30 1 -0.3633 0.5139 -0.8899 31 1 -0.3633 -1.0276 -0.0005 32 1 3.1301 1.4425 0.0005 33 1 1.6767 1.9564 -0.8899 34 1 1.6768 1.9563 0.8900 35 1 0.7095 1.1620 -3.4844 36 1 3.1300 -0.7217 1.2489 37 1 1.6767 -1.7490 1.2491 38 1 0.9938 0.7577 2.3564 39 1 2.2620 -1.0364 6.2028 40 1 0.1267 0.4433 7.3101 41 1 1.5799 1.4709 7.3101 42 1 0.1263 0.4793 9.7895 43 1 1.6145 1.4567 9.8335 44 1 2.7684 -0.3138 11.1008 45 1 1.2737 0.1576 11.9464 46 1 1.5498 -2.3280 11.8292 47 1 0.0878 -1.7727 10.9769 48 1 1.5075 -4.2768 8.6334 49 1 1.4804 -4.4158 10.4079 50 1 0.0543 -3.7960 9.5416 51 1 3.6082 -1.4260 9.7828 52 1 3.5556 -3.0318 10.5487 53 1 3.5836 -2.8922 8.7743 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 ZINC000930820328.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 06:08:46 Heat of formation + Delta-G solvation = -138.899747 kcal Electronic energy + Delta-G solvation = -30487.054888 eV Core-core repulsion = 26358.069484 eV Total energy + Delta-G solvation = -4128.985404 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.72 seconds Orbital eigenvalues (eV) -40.69039 -40.11472 -38.28489 -36.44869 -35.63478 -34.07640 -33.65303 -33.08522 -30.86148 -29.65674 -27.84319 -26.95026 -25.88711 -25.69836 -25.18936 -23.56194 -22.34677 -22.05309 -20.14012 -19.61498 -18.95875 -18.23772 -16.90599 -16.62211 -16.09286 -15.90668 -15.67647 -15.48054 -15.35553 -14.84844 -14.65262 -14.38808 -14.24994 -13.93170 -13.49135 -13.30599 -13.17175 -12.99928 -12.91113 -12.70519 -12.43403 -12.38583 -12.25131 -12.19670 -12.03329 -11.55437 -11.40006 -11.38007 -11.37278 -11.18454 -11.15516 -10.87679 -10.65823 -10.48329 -10.37932 -10.18461 -9.74500 -9.62949 -9.49861 -9.26590 -9.17957 -8.77143 -8.56067 -8.35447 -6.01060 -4.11632 1.72226 2.61806 3.19961 3.28053 3.36677 3.40915 3.54326 3.96957 4.20846 4.30774 4.34866 4.40378 4.46249 4.60607 4.69931 4.82706 4.86566 4.89765 5.08879 5.13598 5.22821 5.25569 5.30544 5.34644 5.41581 5.45065 5.52473 5.54507 5.61618 5.65649 5.73835 5.89077 5.97470 6.14640 6.18686 6.26626 6.49876 6.67237 6.85948 6.87817 6.92643 6.97118 7.02934 7.17714 7.36018 7.57446 7.69830 7.77044 8.02263 8.02533 8.15519 8.35896 8.45292 8.88857 9.54160 11.00373 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.026009 B = 0.001953 C = 0.001875 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1076.287646 B =14331.617469 C =14931.443424 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.134 4.134 2 C 0.055 3.945 3 C -0.133 4.133 4 C -0.505 4.505 5 H 0.059 0.941 6 C 0.065 3.935 7 N -0.884 5.884 8 Si 0.894 3.106 9 H -0.273 1.273 10 H -0.285 1.285 11 H -0.285 1.285 12 C 0.128 3.872 13 N -0.681 5.681 14 C 0.496 3.504 15 O -0.535 6.535 16 C 0.507 3.493 17 O -0.524 6.524 18 N -0.699 5.699 19 C 0.128 3.872 20 C 0.076 3.924 21 H 0.070 0.930 22 C -0.147 4.147 23 C -0.123 4.123 24 C -0.143 4.143 25 C 0.112 3.888 26 C -0.139 4.139 27 C -0.182 4.182 28 O -0.365 6.365 29 H 0.009 0.991 30 H 0.087 0.913 31 H 0.027 0.973 32 H 0.027 0.973 33 H 0.087 0.913 34 H 0.009 0.991 35 H 0.260 0.740 36 H 0.061 0.939 37 H 0.061 0.939 38 H 0.411 0.589 39 H 0.415 0.585 40 H 0.079 0.921 41 H 0.086 0.914 42 H 0.076 0.924 43 H 0.077 0.923 44 H 0.066 0.934 45 H 0.068 0.932 46 H 0.072 0.928 47 H 0.072 0.928 48 H 0.066 0.934 49 H 0.069 0.931 50 H 0.063 0.937 51 H 0.062 0.938 52 H 0.066 0.934 53 H 0.067 0.933 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.283 -2.438 28.431 28.564 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 -0.191 4.191 2 C 0.054 3.946 3 C -0.191 4.191 4 C -0.544 4.544 5 H 0.077 0.923 6 C -0.136 4.136 7 N -0.523 5.523 8 Si 0.722 3.278 9 H -0.198 1.198 10 H -0.211 1.211 11 H -0.211 1.211 12 C 0.006 3.994 13 N -0.332 5.332 14 C 0.276 3.724 15 O -0.413 6.413 16 C 0.288 3.712 17 O -0.399 6.399 18 N -0.353 5.353 19 C 0.004 3.996 20 C 0.018 3.982 21 H 0.088 0.912 22 C -0.186 4.186 23 C -0.160 4.160 24 C -0.181 4.181 25 C 0.073 3.927 26 C -0.196 4.196 27 C -0.239 4.239 28 O -0.284 6.284 29 H 0.028 0.972 30 H 0.105 0.895 31 H 0.047 0.953 32 H 0.046 0.954 33 H 0.106 0.894 34 H 0.027 0.973 35 H 0.070 0.930 36 H 0.080 0.920 37 H 0.080 0.920 38 H 0.248 0.752 39 H 0.252 0.748 40 H 0.098 0.902 41 H 0.104 0.896 42 H 0.095 0.905 43 H 0.096 0.904 44 H 0.085 0.915 45 H 0.087 0.913 46 H 0.091 0.909 47 H 0.090 0.910 48 H 0.085 0.915 49 H 0.088 0.912 50 H 0.082 0.918 51 H 0.081 0.919 52 H 0.085 0.915 53 H 0.086 0.914 Dipole moment (debyes) X Y Z Total from point charges 1.072 -2.387 28.106 28.227 hybrid contribution 0.455 -0.305 -0.568 0.789 sum 1.527 -2.692 27.538 27.711 Atomic orbital electron populations 1.21853 0.97577 0.99299 1.00395 1.18394 0.93000 0.92882 0.90308 1.21852 0.98593 0.98258 1.00395 1.20987 1.31526 1.12115 0.89753 0.92304 1.24891 0.94873 0.94943 0.98893 1.69820 1.36599 1.22689 1.23159 0.86502 0.78610 0.79708 0.82961 1.19766 1.21076 1.21079 1.21930 0.98517 0.96044 0.82876 1.46209 1.50487 1.31406 1.05138 1.19952 0.82376 0.85205 0.84914 1.90721 1.37910 1.25916 1.86773 1.20471 0.81024 0.84687 0.84985 1.90751 1.36704 1.25577 1.86884 1.45598 1.52987 1.32246 1.04474 1.21478 1.00675 0.95642 0.81813 1.22339 0.98506 0.83157 0.94167 0.91203 1.22122 1.02526 0.99646 0.94257 1.21620 1.01172 0.95380 0.97847 1.22229 1.01798 0.96278 0.97767 1.21524 0.93413 0.91804 0.85984 1.21766 1.01871 0.93255 1.02739 1.22483 0.95678 1.02634 1.03127 1.88032 1.73600 1.21613 1.45179 0.97236 0.89457 0.95342 0.95366 0.89448 0.97252 0.93018 0.92033 0.92027 0.75210 0.74803 0.90245 0.89590 0.90516 0.90415 0.91488 0.91284 0.90911 0.90972 0.91474 0.91174 0.91776 0.91918 0.91487 0.91410 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.13 -3.10 8.08 37.16 0.30 -2.80 16 2 C 0.05 1.29 0.50 -155.66 -0.08 1.21 16 3 C -0.13 -3.08 8.08 37.16 0.30 -2.78 16 4 C -0.51 -13.20 8.01 -34.44 -0.28 -13.48 16 5 H 0.06 1.54 7.74 -52.49 -0.41 1.14 16 6 C 0.07 1.72 5.15 -17.82 -0.09 1.63 16 7 N -0.88 -23.74 9.35 55.43 0.52 -23.22 16 8 Si 0.89 20.74 29.54 -169.99 -5.02 15.71 16 9 H -0.27 -6.31 7.11 56.52 0.40 -5.91 16 10 H -0.28 -6.61 7.11 56.52 0.40 -6.21 16 11 H -0.28 -6.60 7.11 56.52 0.40 -6.20 16 12 C 0.13 2.73 4.50 -4.05 -0.02 2.71 16 13 N -0.68 -12.98 4.95 -60.73 -0.30 -13.28 16 14 C 0.50 9.01 7.89 -11.58 -0.09 8.92 16 15 O -0.53 -10.57 16.48 5.50 0.09 -10.48 16 16 C 0.51 8.10 7.89 -11.59 -0.09 8.01 16 17 O -0.52 -9.29 16.48 5.49 0.09 -9.20 16 18 N -0.70 -8.83 5.44 -60.73 -0.33 -9.16 16 19 C 0.13 1.27 5.37 -4.04 -0.02 1.25 16 20 C 0.08 0.61 2.40 -26.68 -0.06 0.55 16 21 H 0.07 0.52 6.34 -51.93 -0.33 0.19 16 22 C -0.15 -0.92 5.42 -26.59 -0.14 -1.06 16 23 C -0.12 -0.66 5.71 -26.55 -0.15 -0.81 16 24 C -0.14 -0.85 4.94 -26.49 -0.13 -0.98 16 25 C 0.11 0.82 1.11 -90.47 -0.10 0.72 16 26 C -0.14 -0.96 8.85 37.16 0.33 -0.64 16 27 C -0.18 -1.17 7.93 37.16 0.29 -0.88 16 28 O -0.36 -3.48 9.62 -35.23 -0.34 -3.82 16 29 H 0.01 0.18 6.86 -51.93 -0.36 -0.17 16 30 H 0.09 2.22 6.07 -51.93 -0.32 1.91 16 31 H 0.03 0.64 8.14 -51.93 -0.42 0.22 16 32 H 0.03 0.63 8.14 -51.93 -0.42 0.21 16 33 H 0.09 2.22 6.07 -51.93 -0.32 1.90 16 34 H 0.01 0.18 6.86 -51.93 -0.36 -0.18 16 35 H 0.26 6.71 8.31 -40.82 -0.34 6.37 16 36 H 0.06 1.34 8.14 -51.93 -0.42 0.91 16 37 H 0.06 1.35 8.14 -51.93 -0.42 0.92 16 38 H 0.41 7.71 5.63 -40.82 -0.23 7.48 16 39 H 0.42 5.06 7.82 -40.82 -0.32 4.74 16 40 H 0.08 0.86 8.14 -51.93 -0.42 0.43 16 41 H 0.09 0.79 8.14 -51.93 -0.42 0.37 16 42 H 0.08 0.51 8.14 -51.93 -0.42 0.09 16 43 H 0.08 0.40 8.14 -51.93 -0.42 -0.03 16 44 H 0.07 0.34 6.62 -51.93 -0.34 -0.01 16 45 H 0.07 0.32 8.14 -51.93 -0.42 -0.10 16 46 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 47 H 0.07 0.47 8.14 -51.93 -0.42 0.04 16 48 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 49 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 50 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 51 H 0.06 0.38 4.98 -51.93 -0.26 0.12 16 52 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 53 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 LS Contribution 408.59 15.07 6.16 6.16 Total: -1.00 -29.15 408.59 -8.30 -37.45 By element: Atomic # 1 Polarization: 17.38 SS G_CDS: -9.13 Total: 8.25 kcal Atomic # 6 Polarization: 1.62 SS G_CDS: -0.04 Total: 1.58 kcal Atomic # 7 Polarization: -45.54 SS G_CDS: -0.11 Total: -45.66 kcal Atomic # 8 Polarization: -23.34 SS G_CDS: -0.16 Total: -23.50 kcal Atomic # 14 Polarization: 20.74 SS G_CDS: -5.02 Total: 15.71 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -29.15 -8.30 -37.45 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. ZINC000930820328.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 -101.448 kcal (2) G-P(sol) polarization free energy of solvation -29.152 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -130.600 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.300 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -37.452 kcal (6) G-S(sol) free energy of system = (1) + (5) -138.900 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.73 seconds