Wall clock time and date at job start Sat Apr 11 2020 06:10:20 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 1.52999 * 1 3 3 H 1.09003 * 109.87811 * 2 1 4 4 C 1.54640 * 109.82253 * 239.09477 * 2 1 3 5 5 C 1.53849 * 102.07901 * 220.34002 * 4 2 1 6 6 C 1.53023 * 111.58613 * 152.42080 * 5 4 2 7 7 C 1.54829 * 103.60130 * 144.91226 * 6 5 4 8 8 C 1.54585 * 104.05594 * 1.02881 * 7 6 5 9 9 H 1.08998 * 110.32156 * 95.53432 * 8 7 6 10 10 C 1.53005 * 110.31585 * 217.62720 * 8 7 6 11 11 N 1.46503 * 109.46592 * 183.59057 * 10 8 7 12 12 C 1.34783 * 119.99449 * 179.97438 * 11 10 8 13 13 O 1.21590 * 119.99935 * 359.97438 * 12 11 10 14 14 N 1.34779 * 119.99768 * 179.97438 * 12 11 10 15 15 C 1.46499 * 119.99872 * 180.02562 * 14 12 11 16 16 C 1.53000 * 109.46840 * 180.02562 * 15 14 12 17 17 C 1.53002 * 109.47233 * 299.99500 * 16 15 14 18 18 C 1.52996 * 109.47328 * 59.99969 * 16 15 14 19 19 C 1.50706 * 109.46735 * 180.02562 * 16 15 14 20 20 H 1.07996 * 119.99928 * 359.97438 * 19 16 15 21 21 C 1.37880 * 119.99611 * 179.97438 * 19 16 15 22 22 N 1.31511 * 120.00327 * 359.97438 * 21 19 16 23 23 Si 1.86803 * 119.99743 * 179.97438 * 21 19 16 24 24 H 1.48506 * 109.46828 * 90.00241 * 23 21 19 25 25 H 1.48494 * 109.47178 * 209.99936 * 23 21 19 26 26 H 1.48500 * 109.47075 * 330.00183 * 23 21 19 27 27 O 1.42817 * 111.97537 * 272.19001 * 5 4 2 28 28 C 1.53479 * 102.62097 * 32.57332 * 5 4 2 29 29 O 1.43356 * 109.82392 * 120.91188 * 2 1 3 30 30 H 1.09003 * 109.47205 * 180.90747 * 1 2 3 31 31 H 1.09003 * 109.47356 * 300.91181 * 1 2 3 32 32 H 1.09005 * 109.47554 * 60.91070 * 1 2 3 33 33 H 1.08998 * 110.91240 * 102.15110 * 4 2 1 34 34 H 1.08998 * 110.94174 * 338.54745 * 4 2 1 35 35 H 1.09001 * 110.60083 * 26.37669 * 6 5 4 36 36 H 1.09008 * 110.59207 * 263.43947 * 6 5 4 37 37 H 1.09008 * 110.51007 * 242.38735 * 7 6 5 38 38 H 1.08996 * 110.51813 * 119.67451 * 7 6 5 39 39 H 1.09000 * 109.47248 * 63.59064 * 10 8 7 40 40 H 1.08996 * 109.46721 * 303.58627 * 10 8 7 41 41 H 0.96992 * 120.00655 * 359.97438 * 11 10 8 42 42 H 0.97000 * 119.99708 * 359.97438 * 14 12 11 43 43 H 1.09002 * 109.47391 * 59.99686 * 15 14 12 44 44 H 1.09001 * 109.46813 * 299.99742 * 15 14 12 45 45 H 1.09000 * 109.46986 * 60.00203 * 17 16 15 46 46 H 1.08993 * 109.47662 * 180.02562 * 17 16 15 47 47 H 1.09002 * 109.47075 * 300.00932 * 17 16 15 48 48 H 1.08992 * 109.47554 * 59.99639 * 18 16 15 49 49 H 1.09004 * 109.47108 * 179.97438 * 18 16 15 50 50 H 1.09000 * 109.46870 * 299.99783 * 18 16 15 51 51 H 0.97000 * 120.00354 * 180.02562 * 22 21 19 52 52 H 1.08996 * 110.33196 * 84.20788 * 28 5 4 53 53 H 1.09004 * 110.33100 * 206.42709 * 28 5 4 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 1 1.9006 1.0251 0.0000 4 6 2.0544 -0.7472 -1.2482 5 6 3.2423 -1.5386 -0.6743 6 6 3.5048 -2.8177 -1.4722 7 6 5.0459 -2.9619 -1.4323 8 6 5.5140 -1.7558 -0.5863 9 1 5.6478 -2.0523 0.4541 10 6 6.8190 -1.1876 -1.1478 11 7 7.2904 -0.1022 -0.2842 12 6 8.4307 0.5508 -0.5843 13 8 9.0682 0.2387 -1.5715 14 7 8.8642 1.5497 0.2099 15 6 10.1033 2.2598 -0.1166 16 6 10.3664 3.3374 0.9372 17 6 9.2005 4.3281 0.9556 18 6 10.5012 2.6828 2.3134 19 6 11.6407 4.0683 0.6009 20 1 12.2065 3.7916 -0.2763 21 6 12.0841 5.0903 1.4134 22 7 11.3948 5.4276 2.4814 23 14 13.6640 5.9958 0.9970 24 1 13.3538 7.1574 0.1253 25 1 14.3053 6.4734 2.2483 26 1 14.5889 5.0766 0.2864 27 8 4.4517 -0.7794 -0.6979 28 6 2.7811 -1.8447 0.7572 29 8 2.0162 -0.6928 1.1571 30 1 -0.3634 -1.0276 0.0163 31 1 -0.3634 0.5279 0.8817 32 1 -0.3634 0.4996 -0.8981 33 1 2.3879 -0.0438 -2.0111 34 1 1.2952 -1.4199 -1.6471 35 1 3.1564 -2.7074 -2.4991 36 1 3.0271 -3.6728 -0.9938 37 1 5.4608 -2.9066 -2.4388 38 1 5.3296 -3.8984 -0.9521 39 1 6.6451 -0.8029 -2.1528 40 1 7.5716 -1.9751 -1.1854 41 1 6.7821 0.1466 0.5035 42 1 8.3554 1.7989 0.9972 43 1 10.0075 2.7258 -1.0974 44 1 10.9339 1.5541 -0.1293 45 1 8.2786 3.7998 1.1985 46 1 9.3881 5.0961 1.7060 47 1 9.1045 4.7944 -0.0249 48 1 11.3317 1.9770 2.3003 49 1 10.6890 3.4505 3.0641 50 1 9.5793 2.1545 2.5563 51 1 11.7066 6.1468 3.0527 52 1 2.1563 -2.7377 0.7711 53 1 3.6421 -1.9738 1.4131 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 ZINC000884408973.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 06:10:20 Heat of formation + Delta-G solvation = -130.665933 kcal Electronic energy + Delta-G solvation = -30615.458009 eV Core-core repulsion = 26486.829650 eV Total energy + Delta-G solvation = -4128.628359 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.93 seconds Orbital eigenvalues (eV) -41.21441 -39.52219 -38.34044 -36.44693 -34.56174 -33.19958 -32.88675 -32.51798 -31.49523 -30.61427 -27.93196 -26.61729 -25.66660 -25.51659 -24.85710 -23.58542 -21.67823 -21.50460 -20.82190 -20.44799 -18.71900 -18.06700 -17.41955 -16.82682 -16.13817 -15.97000 -15.77189 -15.53125 -15.10623 -14.90681 -14.66944 -14.54343 -13.96818 -13.90908 -13.57907 -13.33269 -13.25977 -12.96286 -12.81627 -12.64872 -12.44634 -12.33378 -12.21518 -12.12301 -11.86761 -11.77303 -11.49009 -11.32607 -11.14929 -11.12954 -10.90628 -10.82229 -10.65355 -10.32912 -10.19136 -10.16632 -9.76048 -9.73553 -9.57376 -9.25503 -8.93302 -8.73916 -8.36951 -8.12215 -5.97800 -4.07596 3.06041 3.28118 3.31341 3.38140 3.41972 3.42826 3.71240 3.87601 4.13656 4.20783 4.37052 4.42205 4.49549 4.56602 4.70313 4.79750 4.85976 4.92902 5.00775 5.03748 5.07093 5.23861 5.26721 5.28423 5.28840 5.32387 5.44253 5.49554 5.56718 5.62370 5.73004 5.78278 5.83656 6.27074 6.42421 6.47403 6.56644 6.67093 6.70001 6.85659 6.89414 6.97207 7.09004 7.16626 7.36849 7.47908 7.61565 7.74361 8.06565 8.17810 8.43339 8.55077 8.92369 9.10890 9.57871 11.03635 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018001 B = 0.002101 C = 0.001957 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1555.057734 B =13323.267543 C =14307.344299 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.163 4.163 2 C 0.076 3.924 3 H 0.084 0.916 4 C -0.139 4.139 5 C 0.068 3.932 6 C -0.137 4.137 7 C -0.147 4.147 8 C 0.059 3.941 9 H 0.078 0.922 10 C 0.150 3.850 11 N -0.751 5.751 12 C 0.698 3.302 13 O -0.603 6.603 14 N -0.733 5.733 15 C 0.151 3.849 16 C 0.056 3.944 17 C -0.130 4.130 18 C -0.130 4.130 19 C -0.504 4.504 20 H 0.058 0.942 21 C 0.065 3.935 22 N -0.886 5.886 23 Si 0.893 3.107 24 H -0.281 1.281 25 H -0.287 1.287 26 H -0.274 1.274 27 O -0.338 6.338 28 C 0.040 3.960 29 O -0.373 6.373 30 H 0.058 0.942 31 H 0.063 0.937 32 H 0.067 0.933 33 H 0.094 0.906 34 H 0.091 0.909 35 H 0.083 0.917 36 H 0.083 0.917 37 H 0.084 0.916 38 H 0.084 0.916 39 H 0.072 0.928 40 H 0.078 0.922 41 H 0.396 0.604 42 H 0.394 0.606 43 H 0.052 0.948 44 H 0.052 0.948 45 H 0.006 0.994 46 H 0.085 0.915 47 H 0.026 0.974 48 H 0.026 0.974 49 H 0.085 0.915 50 H 0.006 0.994 51 H 0.259 0.741 52 H 0.069 0.931 53 H 0.088 0.912 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -22.151 -17.498 -4.463 28.579 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 -0.220 4.220 2 C 0.019 3.981 3 H 0.102 0.898 4 C -0.177 4.177 5 C 0.027 3.973 6 C -0.175 4.175 7 C -0.185 4.185 8 C 0.002 3.998 9 H 0.096 0.904 10 C 0.025 3.975 11 N -0.408 5.408 12 C 0.398 3.602 13 O -0.482 6.482 14 N -0.387 5.387 15 C 0.028 3.972 16 C 0.055 3.945 17 C -0.188 4.188 18 C -0.187 4.187 19 C -0.542 4.542 20 H 0.076 0.924 21 C -0.136 4.136 22 N -0.525 5.525 23 Si 0.721 3.279 24 H -0.207 1.207 25 H -0.213 1.213 26 H -0.199 1.199 27 O -0.257 6.257 28 C -0.037 4.037 29 O -0.293 6.293 30 H 0.077 0.923 31 H 0.082 0.918 32 H 0.086 0.914 33 H 0.113 0.887 34 H 0.109 0.891 35 H 0.102 0.898 36 H 0.101 0.899 37 H 0.103 0.897 38 H 0.103 0.897 39 H 0.090 0.910 40 H 0.096 0.904 41 H 0.230 0.770 42 H 0.228 0.772 43 H 0.070 0.930 44 H 0.070 0.930 45 H 0.025 0.975 46 H 0.103 0.897 47 H 0.045 0.955 48 H 0.045 0.955 49 H 0.103 0.897 50 H 0.025 0.975 51 H 0.069 0.931 52 H 0.087 0.913 53 H 0.106 0.894 Dipole moment (debyes) X Y Z Total from point charges -21.528 -17.331 -5.039 28.093 hybrid contribution 0.369 0.469 0.360 0.697 sum -21.159 -16.861 -4.679 27.457 Atomic orbital electron populations 1.22157 0.94840 1.02450 1.02550 1.22794 0.94097 0.96825 0.84376 0.89785 1.23079 0.95762 1.00032 0.98810 1.22856 0.87516 0.91924 0.94991 1.22688 0.96377 0.96944 1.01515 1.22981 0.95217 0.98441 1.01900 1.23449 0.88305 0.88518 0.99564 0.90374 1.21146 0.92146 0.89715 0.94467 1.45010 1.26119 1.38738 1.30940 1.16050 0.80705 0.80067 0.83355 1.90875 1.58499 1.69756 1.29083 1.45494 1.28322 1.35921 1.28942 1.21575 0.82501 0.93734 0.99435 1.18366 0.95038 0.90442 0.90663 1.21820 0.94823 1.00945 1.01187 1.21815 0.96325 0.99626 1.00976 1.20992 1.06696 1.16554 1.10008 0.92420 1.24884 0.97025 0.96772 0.94904 1.69808 1.38485 1.29676 1.14546 0.86572 0.83577 0.80015 0.77701 1.20740 1.21312 1.19914 1.89088 1.13380 1.29113 1.94108 1.23684 0.95607 0.89396 0.95026 1.88523 1.70452 1.40343 1.29964 0.92306 0.91768 0.91403 0.88741 0.89076 0.89802 0.89864 0.89693 0.89746 0.91012 0.90372 0.77001 0.77163 0.93010 0.93000 0.97503 0.89661 0.95479 0.95477 0.89671 0.97518 0.93056 0.91298 0.89365 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 -0.16 -1.07 9.44 37.16 0.35 -0.72 16 2 C 0.08 0.65 4.17 -25.87 -0.11 0.54 16 3 H 0.08 0.79 8.14 -51.93 -0.42 0.36 16 4 C -0.14 -0.98 5.69 -25.43 -0.14 -1.13 16 5 C 0.07 0.52 0.92 -89.92 -0.08 0.44 16 6 C -0.14 -0.76 6.22 -25.76 -0.16 -0.92 16 7 C -0.15 -0.90 6.66 -24.93 -0.17 -1.06 16 8 C 0.06 0.51 3.07 -25.90 -0.08 0.43 16 9 H 0.08 0.61 7.61 -51.93 -0.40 0.22 16 10 C 0.15 1.74 5.27 -4.04 -0.02 1.71 16 11 N -0.75 -10.48 5.55 -65.22 -0.36 -10.84 16 12 C 0.70 13.00 8.57 -86.91 -0.74 12.25 16 13 O -0.60 -13.48 16.34 5.29 0.09 -13.39 16 14 N -0.73 -13.80 4.96 -65.22 -0.32 -14.13 16 15 C 0.15 3.34 4.50 -4.04 -0.02 3.32 16 16 C 0.06 1.32 0.50 -155.66 -0.08 1.25 16 17 C -0.13 -3.02 8.08 37.16 0.30 -2.72 16 18 C -0.13 -2.99 8.08 37.16 0.30 -2.69 16 19 C -0.50 -13.44 8.01 -34.44 -0.28 -13.72 16 20 H 0.06 1.55 7.74 -52.49 -0.41 1.15 16 21 C 0.07 1.74 5.15 -17.82 -0.09 1.65 16 22 N -0.89 -23.98 9.35 55.43 0.52 -23.47 16 23 Si 0.89 21.02 29.54 -169.99 -5.02 16.00 16 24 H -0.28 -6.61 7.11 56.52 0.40 -6.21 16 25 H -0.29 -6.72 7.11 56.52 0.40 -6.32 16 26 H -0.27 -6.45 7.11 56.52 0.40 -6.05 16 27 O -0.34 -3.52 10.86 -35.23 -0.38 -3.90 16 28 C 0.04 0.32 6.91 37.41 0.26 0.58 16 29 O -0.37 -3.97 11.03 -35.23 -0.39 -4.36 16 30 H 0.06 0.36 8.14 -51.93 -0.42 -0.07 16 31 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 32 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 33 H 0.09 0.70 8.14 -51.93 -0.42 0.28 16 34 H 0.09 0.46 7.74 -51.93 -0.40 0.06 16 35 H 0.08 0.42 7.93 -51.93 -0.41 0.00 16 36 H 0.08 0.33 7.58 -51.92 -0.39 -0.06 16 37 H 0.08 0.52 7.87 -51.92 -0.41 0.11 16 38 H 0.08 0.39 8.14 -51.93 -0.42 -0.03 16 39 H 0.07 0.93 8.14 -51.93 -0.42 0.50 16 40 H 0.08 0.89 8.14 -51.93 -0.42 0.46 16 41 H 0.40 4.81 8.49 -40.82 -0.35 4.46 16 42 H 0.39 6.74 6.18 -40.82 -0.25 6.49 16 43 H 0.05 1.21 8.14 -51.93 -0.42 0.79 16 44 H 0.05 1.21 8.14 -51.93 -0.42 0.78 16 45 H 0.01 0.13 6.86 -51.93 -0.36 -0.23 16 46 H 0.08 2.17 6.07 -51.93 -0.32 1.86 16 47 H 0.03 0.62 8.14 -51.93 -0.42 0.20 16 48 H 0.03 0.61 8.14 -51.93 -0.42 0.19 16 49 H 0.08 2.16 6.07 -51.93 -0.32 1.84 16 50 H 0.01 0.12 6.86 -51.93 -0.36 -0.24 16 51 H 0.26 6.77 8.31 -40.82 -0.34 6.43 16 52 H 0.07 0.43 7.71 -51.93 -0.40 0.03 16 53 H 0.09 0.71 7.42 -51.93 -0.39 0.32 16 LS Contribution 408.33 15.07 6.15 6.15 Total: -1.00 -31.59 408.33 -9.83 -41.42 By element: Atomic # 1 Polarization: 16.64 SS G_CDS: -9.35 Total: 7.29 kcal Atomic # 6 Polarization: -0.01 SS G_CDS: -0.76 Total: -0.77 kcal Atomic # 7 Polarization: -48.27 SS G_CDS: -0.17 Total: -48.43 kcal Atomic # 8 Polarization: -20.97 SS G_CDS: -0.68 Total: -21.65 kcal Atomic # 14 Polarization: 21.02 SS G_CDS: -5.02 Total: 16.00 kcal Total LS contribution 6.15 Total: 6.15 kcal Total: -31.59 -9.83 -41.42 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. ZINC000884408973.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 -89.243 kcal (2) G-P(sol) polarization free energy of solvation -31.589 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -120.832 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.834 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.423 kcal (6) G-S(sol) free energy of system = (1) + (5) -130.666 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.93 seconds