Wall clock time and date at job start Tue Mar 31 2020 23:56:46 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 O 1.42901 * 1 3 3 C 1.42903 * 113.99970 * 2 1 4 4 C 1.52994 * 109.47354 * 180.02562 * 3 2 1 5 5 C 1.53003 * 109.44943 * 299.96831 * 4 3 2 6 6 N 1.46500 * 109.46996 * 60.02922 * 5 4 3 7 7 C 1.34775 * 119.99860 * 180.02562 * 6 5 4 8 8 O 1.21283 * 120.00036 * 0.02562 * 7 6 5 9 9 C 1.50700 * 120.00161 * 180.02562 * 7 6 5 10 10 H 1.08995 * 110.55461 * 302.12651 * 9 7 6 11 11 C 1.54999 * 110.61540 * 65.00445 * 9 7 6 12 12 C 1.54814 * 102.09511 * 155.52600 * 11 9 7 13 13 H 1.08997 * 110.48769 * 97.79200 * 12 11 9 14 14 C 1.52997 * 110.49036 * 220.31072 * 12 11 9 15 15 C 1.54102 * 104.18490 * 339.11801 * 12 11 9 16 16 O 1.43749 * 107.29456 * 357.97050 * 15 12 11 17 17 C 1.53034 * 109.46369 * 180.02562 * 4 3 2 18 18 C 1.53188 * 109.31555 * 178.61354 * 17 4 3 19 19 N 1.46924 * 108.77413 * 54.63413 * 18 17 4 20 20 C 1.36943 * 120.62872 * 126.37118 * 19 18 17 21 21 H 1.07992 * 120.00263 * 332.50176 * 20 19 18 22 22 C 1.38814 * 119.99781 * 152.50809 * 20 19 18 23 23 N 1.31622 * 119.99711 * 335.01928 * 22 20 19 24 24 Si 1.86803 * 120.00012 * 155.02565 * 22 20 19 25 25 H 1.48502 * 109.47362 * 89.99535 * 24 22 20 26 26 H 1.48507 * 109.46825 * 329.99509 * 24 22 20 27 27 H 1.48505 * 109.46872 * 209.99631 * 24 22 20 28 28 C 1.46923 * 118.73967 * 306.64437 * 19 18 17 29 29 C 1.52757 * 109.00971 * 53.31004 * 28 19 18 30 30 H 1.08993 * 109.47217 * 299.99751 * 1 2 3 31 31 H 1.09000 * 109.47011 * 59.99946 * 1 2 3 32 32 H 1.09000 * 109.46873 * 179.97438 * 1 2 3 33 33 H 1.09001 * 109.46890 * 59.99648 * 3 2 1 34 34 H 1.09006 * 109.46651 * 300.00189 * 3 2 1 35 35 H 1.08990 * 109.47452 * 180.02562 * 5 4 3 36 36 H 1.09001 * 109.46669 * 300.03746 * 5 4 3 37 37 H 0.96999 * 120.00726 * 0.02562 * 6 5 4 38 38 H 1.09006 * 110.90618 * 273.72044 * 11 9 7 39 39 H 1.08995 * 110.91218 * 37.28970 * 11 9 7 40 40 H 1.08998 * 109.47005 * 59.99385 * 14 12 11 41 41 H 1.08994 * 109.47310 * 179.97438 * 14 12 11 42 42 H 1.09005 * 109.46891 * 300.00013 * 14 12 11 43 43 H 1.09001 * 109.87937 * 117.39383 * 15 12 11 44 44 H 1.08997 * 109.87983 * 238.39350 * 15 12 11 45 45 H 1.09000 * 109.50004 * 58.65900 * 17 4 3 46 46 H 1.09007 * 109.52329 * 298.58270 * 17 4 3 47 47 H 1.09002 * 109.58768 * 294.84610 * 18 17 4 48 48 H 1.08999 * 109.70655 * 174.48902 * 18 17 4 49 49 H 0.96998 * 120.00507 * 354.25639 * 23 22 20 50 50 H 1.09001 * 109.58617 * 173.14661 * 28 19 18 51 51 H 1.09006 * 109.58353 * 293.56722 * 28 19 18 52 52 H 1.08996 * 109.56418 * 185.55617 * 29 28 19 53 53 H 1.09001 * 109.35822 * 65.49916 * 29 28 19 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 1.4290 0.0000 0.0000 3 6 2.0102 1.3055 0.0000 4 6 3.5354 1.1848 -0.0006 5 6 3.9869 0.4259 1.2489 6 7 3.3914 -0.9126 1.2491 7 6 3.6501 -1.7651 2.2604 8 8 4.3756 -1.4239 3.1705 9 6 3.0381 -3.1422 2.2604 10 1 1.9507 -3.0776 2.2216 11 6 3.5778 -3.9793 1.0728 12 6 3.3815 -5.4282 1.5816 13 1 2.4607 -5.8519 1.1807 14 6 4.5808 -6.2975 1.1983 15 6 3.2858 -5.2812 3.1126 16 8 3.4653 -3.8885 3.4202 17 6 4.1576 2.5829 0.0000 18 6 5.6840 2.4582 0.0343 19 7 6.1142 1.6068 -1.0832 20 6 7.0594 2.0462 -1.9714 21 1 7.1778 3.1038 -2.1548 22 6 7.8652 1.1320 -2.6361 23 7 8.0928 -0.0514 -2.1068 24 14 8.6266 1.5815 -4.2816 25 1 9.9525 2.2118 -4.0579 26 1 7.7388 2.5354 -4.9938 27 1 8.7938 0.3545 -5.1013 28 6 5.5066 0.2776 -1.2331 29 6 3.9862 0.4245 -1.2501 30 1 -0.3633 0.5138 0.8899 31 1 -0.3633 0.5138 -0.8900 32 1 -0.3633 -1.0277 -0.0005 33 1 1.6885 1.8464 0.8900 34 1 1.6885 1.8464 -0.8900 35 1 5.0734 0.3401 1.2490 36 1 3.6649 0.9669 2.1386 37 1 2.8109 -1.1854 0.5214 38 1 2.9905 -3.8005 0.1721 39 1 4.6323 -3.7683 0.8956 40 1 5.4858 -5.8851 1.6442 41 1 4.4257 -7.3124 1.5644 42 1 4.6854 -6.3142 0.1134 43 1 2.3062 -5.6134 3.4563 44 1 4.0664 -5.8724 3.5913 45 1 3.8176 3.1321 0.8780 46 1 3.8563 3.1161 -0.9017 47 1 5.9927 2.0070 0.9773 48 1 6.1357 3.4454 -0.0635 49 1 7.7674 -0.2551 -1.2161 50 1 5.8392 -0.1728 -2.1683 51 1 5.8005 -0.3551 -0.3956 52 1 3.5242 -0.5626 -1.2617 53 1 3.6865 0.9775 -2.1403 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 ZINC001162366520.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 23:56:46 Heat of formation + Delta-G solvation = -109.544963 kcal Electronic energy + Delta-G solvation = -32563.746467 eV Core-core repulsion = 28436.033982 eV Total energy + Delta-G solvation = -4127.712485 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.39 seconds Orbital eigenvalues (eV) -40.42597 -39.57894 -38.04302 -37.24187 -34.68974 -33.70244 -33.15427 -31.03549 -30.24629 -30.06449 -27.64890 -26.57437 -26.22747 -25.69221 -23.80856 -23.44454 -22.35865 -20.92061 -20.68387 -20.01818 -18.50836 -17.58045 -17.11752 -16.63878 -16.26451 -15.94568 -15.80720 -15.43362 -15.06449 -14.80824 -14.55068 -14.17321 -14.05015 -13.93068 -13.66319 -13.48800 -13.25404 -13.06596 -12.86526 -12.81254 -12.66870 -12.41012 -12.07044 -11.80596 -11.65383 -11.55821 -11.37233 -11.32118 -11.10854 -10.96561 -10.93753 -10.69179 -10.41948 -10.23290 -10.05106 -9.98766 -9.91762 -9.86194 -9.60807 -9.36755 -9.24883 -8.63193 -8.33676 -6.84812 -6.04245 -3.20096 2.85641 3.06584 3.50773 3.54110 3.61496 3.69470 4.03941 4.31612 4.55470 4.60889 4.69652 4.85510 4.90913 4.94732 4.96457 5.09721 5.15363 5.19020 5.24459 5.29952 5.32309 5.44124 5.45268 5.47455 5.47960 5.52673 5.55154 5.57725 5.62166 5.71915 5.81812 5.88446 5.91620 5.95237 6.07217 6.12463 6.21778 6.27299 6.45772 6.49859 6.57800 6.66291 6.69168 6.77506 6.87000 6.99771 7.10800 7.23453 7.91199 8.02573 8.55528 8.60341 9.14323 9.87436 10.31852 11.24267 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010038 B = 0.003869 C = 0.003183 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2788.806351 B = 7235.533198 C = 8794.953699 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.033 3.967 2 O -0.392 6.392 3 C 0.073 3.927 4 C -0.059 4.059 5 C 0.133 3.867 6 N -0.705 5.705 7 C 0.513 3.487 8 O -0.531 6.531 9 C 0.062 3.938 10 H 0.091 0.909 11 C -0.141 4.141 12 C -0.125 4.125 13 H 0.085 0.915 14 C -0.145 4.145 15 C 0.047 3.953 16 O -0.348 6.348 17 C -0.119 4.119 18 C 0.145 3.855 19 N -0.598 5.598 20 C -0.350 4.350 21 H 0.055 0.945 22 C -0.023 4.023 23 N -0.916 5.916 24 Si 1.064 2.936 25 H -0.295 1.295 26 H -0.293 1.293 27 H -0.287 1.287 28 C 0.150 3.850 29 C -0.120 4.120 30 H 0.038 0.962 31 H 0.040 0.960 32 H 0.083 0.917 33 H 0.047 0.953 34 H 0.052 0.948 35 H 0.081 0.919 36 H 0.057 0.943 37 H 0.409 0.591 38 H 0.088 0.912 39 H 0.088 0.912 40 H 0.062 0.938 41 H 0.057 0.943 42 H 0.061 0.939 43 H 0.059 0.941 44 H 0.087 0.913 45 H 0.056 0.944 46 H 0.067 0.933 47 H 0.021 0.979 48 H 0.057 0.943 49 H 0.270 0.730 50 H 0.078 0.922 51 H 0.019 0.981 52 H 0.056 0.944 53 H 0.059 0.941 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.696 -6.887 4.737 19.571 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 -0.063 4.063 2 O -0.311 6.311 3 C -0.004 4.004 4 C -0.059 4.059 5 C 0.010 3.990 6 N -0.364 5.364 7 C 0.297 3.703 8 O -0.407 6.407 9 C 0.001 3.999 10 H 0.109 0.891 11 C -0.179 4.179 12 C -0.144 4.144 13 H 0.103 0.897 14 C -0.202 4.202 15 C -0.030 4.030 16 O -0.266 6.266 17 C -0.159 4.159 18 C 0.019 3.981 19 N -0.322 5.322 20 C -0.479 4.479 21 H 0.073 0.927 22 C -0.226 4.226 23 N -0.556 5.556 24 Si 0.894 3.106 25 H -0.222 1.222 26 H -0.220 1.220 27 H -0.212 1.212 28 C 0.025 3.975 29 C -0.159 4.159 30 H 0.057 0.943 31 H 0.059 0.941 32 H 0.101 0.899 33 H 0.066 0.934 34 H 0.070 0.930 35 H 0.099 0.901 36 H 0.076 0.924 37 H 0.250 0.750 38 H 0.107 0.893 39 H 0.106 0.894 40 H 0.081 0.919 41 H 0.076 0.924 42 H 0.080 0.920 43 H 0.077 0.923 44 H 0.106 0.894 45 H 0.075 0.925 46 H 0.086 0.914 47 H 0.039 0.961 48 H 0.076 0.924 49 H 0.081 0.919 50 H 0.096 0.904 51 H 0.037 0.963 52 H 0.075 0.925 53 H 0.078 0.922 Dipole moment (debyes) X Y Z Total from point charges -16.041 -7.285 4.301 18.135 hybrid contribution -1.647 0.694 0.776 1.949 sum -17.689 -6.591 5.076 19.547 Atomic orbital electron populations 1.22706 0.81279 1.02458 0.99894 1.87547 1.19399 1.28829 1.95350 1.22749 0.93683 0.83951 0.99994 1.20799 0.91675 0.97261 0.96206 1.21437 0.99282 0.81787 0.96501 1.46116 1.50557 1.14582 1.25106 1.20079 0.81765 0.85835 0.82653 1.90713 1.36847 1.77229 1.35939 1.22932 0.98864 0.91258 0.86847 0.89094 1.23226 1.03704 0.93451 0.97558 1.22527 1.00213 0.96002 0.95620 0.89699 1.21833 0.97345 0.98994 1.02048 1.23335 1.01421 0.83536 0.94712 1.89017 1.86358 1.16124 1.35079 1.21975 0.99175 0.93522 1.01205 1.20921 0.90681 0.95556 0.90970 1.44092 1.44820 1.14932 1.28310 1.19967 1.13617 0.93853 1.20450 0.92690 1.25800 0.96049 0.95675 1.05030 1.70739 1.43162 1.24046 1.17614 0.83557 0.75620 0.75237 0.76157 1.22209 1.21971 1.21239 1.20881 0.88611 0.87586 1.00468 1.21981 0.99741 0.98704 0.95465 0.94291 0.94093 0.89881 0.93432 0.92998 0.90065 0.92446 0.75017 0.89295 0.89353 0.91923 0.92371 0.91953 0.92327 0.89443 0.92548 0.91447 0.96142 0.92408 0.91934 0.90373 0.96291 0.92505 0.92183 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 0.28 11.01 101.05 1.11 1.39 16 2 O -0.39 -4.52 6.73 -35.23 -0.24 -4.76 16 3 C 0.07 0.90 4.80 37.15 0.18 1.08 16 4 C -0.06 -0.90 0.51 -154.47 -0.08 -0.98 16 5 C 0.13 2.23 3.80 -4.04 -0.02 2.21 16 6 N -0.71 -10.77 4.61 -60.30 -0.28 -11.05 16 7 C 0.51 8.66 7.21 -10.99 -0.08 8.58 16 8 O -0.53 -11.43 16.57 -13.51 -0.22 -11.66 16 9 C 0.06 0.82 3.76 -26.83 -0.10 0.72 16 10 H 0.09 0.97 8.14 -51.93 -0.42 0.55 16 11 C -0.14 -1.59 6.12 -24.72 -0.15 -1.75 16 12 C -0.12 -1.15 3.64 -89.09 -0.32 -1.48 16 13 H 0.08 0.62 8.14 -51.93 -0.42 0.19 16 14 C -0.14 -1.29 8.93 37.16 0.33 -0.96 16 15 C 0.05 0.49 7.37 37.73 0.28 0.77 16 16 O -0.35 -5.23 10.80 -54.30 -0.59 -5.82 16 17 C -0.12 -1.92 4.90 -26.62 -0.13 -2.05 16 18 C 0.15 2.97 6.05 -3.71 -0.02 2.94 16 19 N -0.60 -14.57 2.86 -172.59 -0.49 -15.06 16 20 C -0.35 -9.63 9.49 -15.06 -0.14 -9.78 16 21 H 0.06 1.52 7.94 -52.49 -0.42 1.10 16 22 C -0.02 -0.66 4.68 -17.43 -0.08 -0.74 16 23 N -0.92 -27.39 12.41 55.49 0.69 -26.70 16 24 Si 1.06 25.12 29.99 -169.99 -5.10 20.03 16 25 H -0.29 -6.82 7.11 56.52 0.40 -6.42 16 26 H -0.29 -6.60 7.11 56.52 0.40 -6.20 16 27 H -0.29 -6.81 7.11 56.52 0.40 -6.41 16 28 C 0.15 3.41 4.20 -3.94 -0.02 3.39 16 29 C -0.12 -2.11 4.57 -26.83 -0.12 -2.24 16 30 H 0.04 0.30 8.14 -51.93 -0.42 -0.12 16 31 H 0.04 0.31 8.14 -51.93 -0.42 -0.11 16 32 H 0.08 0.55 8.14 -51.93 -0.42 0.13 16 33 H 0.05 0.55 8.14 -51.93 -0.42 0.12 16 34 H 0.05 0.61 8.14 -51.93 -0.42 0.19 16 35 H 0.08 1.65 4.99 -51.93 -0.26 1.39 16 36 H 0.06 0.95 8.14 -51.93 -0.42 0.53 16 37 H 0.41 5.53 4.71 -40.82 -0.19 5.34 16 38 H 0.09 0.83 8.14 -51.93 -0.42 0.40 16 39 H 0.09 1.19 7.78 -51.93 -0.40 0.79 16 40 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 41 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 42 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 43 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 44 H 0.09 0.85 7.70 -51.93 -0.40 0.45 16 45 H 0.06 0.78 8.14 -51.93 -0.42 0.35 16 46 H 0.07 1.10 8.14 -51.93 -0.42 0.68 16 47 H 0.02 0.44 6.69 -51.93 -0.35 0.09 16 48 H 0.06 1.18 7.93 -51.93 -0.41 0.77 16 49 H 0.27 8.21 6.71 -40.82 -0.27 7.94 16 50 H 0.08 2.02 6.30 -51.93 -0.33 1.69 16 51 H 0.02 0.46 6.43 -51.93 -0.33 0.13 16 52 H 0.06 0.92 6.50 -51.93 -0.34 0.58 16 53 H 0.06 1.10 8.14 -51.93 -0.42 0.68 16 LS Contribution 400.29 15.07 6.03 6.03 Total: -1.00 -33.78 400.29 -8.82 -42.60 By element: Atomic # 1 Polarization: 14.52 SS G_CDS: -9.26 Total: 5.25 kcal Atomic # 6 Polarization: 0.49 SS G_CDS: 0.63 Total: 1.13 kcal Atomic # 7 Polarization: -52.72 SS G_CDS: -0.08 Total: -52.80 kcal Atomic # 8 Polarization: -21.19 SS G_CDS: -1.05 Total: -22.24 kcal Atomic # 14 Polarization: 25.12 SS G_CDS: -5.10 Total: 20.03 kcal Total LS contribution 6.03 Total: 6.03 kcal Total: -33.78 -8.82 -42.60 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. ZINC001162366520.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 -66.940 kcal (2) G-P(sol) polarization free energy of solvation -33.780 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -100.720 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.825 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.605 kcal (6) G-S(sol) free energy of system = (1) + (5) -109.545 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.39 seconds