Wall clock time and date at job start Sat Apr 11 2020 06:10:52 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 1.53003 * 1 3 3 C 1.52999 * 109.47243 * 2 1 4 4 H 1.08998 * 110.35165 * 52.85270 * 3 2 1 5 5 C 1.54938 * 110.30706 * 175.00152 * 3 2 1 6 6 C 1.55306 * 100.94344 * 155.36014 * 5 3 2 7 7 C 1.54381 * 102.25240 * 325.86642 * 6 5 3 8 8 H 1.09002 * 109.83208 * 261.75466 * 7 6 5 9 9 C 1.50700 * 109.83459 * 140.86901 * 7 6 5 10 10 O 1.21283 * 119.99968 * 245.19039 * 9 7 6 11 11 N 1.34774 * 120.00040 * 65.18649 * 9 7 6 12 12 C 1.46923 * 120.62979 * 180.02562 * 11 9 7 13 13 C 1.53193 * 108.77561 * 233.62523 * 12 11 9 14 14 C 1.53036 * 109.31568 * 305.36790 * 13 12 11 15 15 N 1.46497 * 109.46295 * 181.38208 * 14 13 12 16 16 C 1.36934 * 119.99920 * 299.99959 * 15 14 13 17 17 H 1.08004 * 120.00451 * 322.24623 * 16 15 14 18 18 C 1.38810 * 120.00137 * 142.24603 * 16 15 14 19 19 N 1.31619 * 120.00424 * 158.51972 * 18 16 15 20 20 Si 1.86805 * 119.99918 * 338.52193 * 18 16 15 21 21 H 1.48497 * 109.47249 * 95.98757 * 20 18 16 22 22 H 1.48505 * 109.46920 * 215.99158 * 20 18 16 23 23 H 1.48498 * 109.46744 * 335.98516 * 20 18 16 24 24 C 1.46498 * 120.00150 * 120.00232 * 15 14 13 25 25 C 1.52997 * 109.47397 * 83.25122 * 24 15 14 26 26 O 1.42899 * 109.47521 * 295.00153 * 25 24 15 27 27 C 1.53051 * 109.53788 * 61.36190 * 14 13 12 28 28 C 1.46923 * 120.63077 * 0.02562 * 11 9 7 29 29 O 1.43248 * 107.66454 * 21.31083 * 7 6 5 30 30 H 1.09006 * 109.47503 * 59.99484 * 1 2 3 31 31 H 1.09002 * 109.47479 * 179.97438 * 1 2 3 32 32 H 1.09005 * 109.47012 * 300.00336 * 1 2 3 33 33 H 1.08996 * 109.46541 * 240.00009 * 2 1 3 34 34 H 1.09000 * 109.46981 * 120.00077 * 2 1 3 35 35 H 1.08999 * 111.12730 * 37.44138 * 5 3 2 36 36 H 1.08998 * 111.16337 * 273.29232 * 5 3 2 37 37 H 1.08999 * 110.84989 * 207.67738 * 6 5 3 38 38 H 1.09003 * 110.84794 * 84.05404 * 6 5 3 39 39 H 1.09004 * 109.58756 * 113.83981 * 12 11 9 40 40 H 1.08998 * 109.58988 * 353.41366 * 12 11 9 41 41 H 1.08999 * 109.49732 * 185.41516 * 13 12 11 42 42 H 1.09004 * 109.51657 * 65.33425 * 13 12 11 43 43 H 1.09007 * 109.46166 * 301.35875 * 14 13 12 44 44 H 0.96998 * 120.00274 * 180.02562 * 19 18 16 45 45 H 1.09002 * 109.46804 * 323.25397 * 24 15 14 46 46 H 1.08996 * 109.46951 * 203.25667 * 24 15 14 47 47 H 1.09003 * 109.46791 * 174.99974 * 25 24 15 48 48 H 1.09004 * 109.46788 * 55.00197 * 25 24 15 49 49 H 0.96691 * 114.00125 * 179.97438 * 26 25 24 50 50 H 1.09000 * 109.49528 * 58.58580 * 27 14 13 51 51 H 1.08995 * 109.49773 * 178.68676 * 27 14 13 52 52 H 1.08995 * 109.58946 * 246.16294 * 28 11 9 53 53 H 1.09004 * 109.58577 * 6.44376 * 28 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 2.0401 1.4425 0.0000 4 1 1.5846 2.0056 0.8146 5 6 3.5841 1.4669 0.1266 6 6 3.9116 2.8383 -0.5245 7 6 2.8321 2.9457 -1.6229 8 1 3.2497 2.6418 -2.5828 9 6 2.3304 4.3641 -1.7098 10 8 1.1792 4.6186 -1.4254 11 7 3.1610 5.3497 -2.1036 12 6 2.6867 6.7374 -2.1927 13 6 2.9937 7.2744 -3.5942 14 6 4.4855 7.1000 -3.8874 15 7 4.7889 7.6426 -5.2140 16 6 4.1713 7.1271 -6.3221 17 1 3.9820 6.0660 -6.3904 18 6 3.7886 7.9683 -7.3578 19 7 3.5954 7.4804 -8.5649 20 14 3.5479 9.7931 -7.0386 21 1 4.7868 10.5268 -7.4016 22 1 2.4168 10.2943 -7.8601 23 1 3.2484 10.0085 -5.6001 24 6 5.7530 8.7366 -5.3550 25 6 7.1720 8.1654 -5.3837 26 8 7.4679 7.5610 -4.1231 27 6 4.8440 5.6125 -3.8508 28 6 4.5580 5.0569 -2.4518 29 8 1.7565 2.0711 -1.2622 30 1 -0.3634 0.5139 -0.8900 31 1 -0.3634 -1.0277 -0.0005 32 1 -0.3633 0.5139 0.8900 33 1 1.8932 -0.5138 -0.8900 34 1 1.8933 -0.5138 0.8900 35 1 4.0371 0.6483 -0.4326 36 1 3.8936 1.4442 1.1715 37 1 4.9102 2.8317 -0.9614 38 1 3.8094 3.6461 0.2002 39 1 3.1981 7.3470 -1.4477 40 1 1.6113 6.7680 -2.0171 41 1 2.7344 8.3319 -3.6434 42 1 2.4110 6.7221 -4.3315 43 1 5.0681 7.6323 -3.1354 44 1 3.3283 8.0683 -9.2887 45 1 5.6533 9.4197 -4.5115 46 1 5.5589 9.2744 -6.2830 47 1 7.8831 8.9685 -5.5774 48 1 7.2463 7.4163 -6.1721 49 1 8.3535 7.1766 -4.0693 50 1 4.2438 5.0755 -4.5854 51 1 5.9016 5.4873 -4.0827 52 1 5.2218 5.5295 -1.7280 53 1 4.7181 3.9787 -2.4448 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 ZINC001098383766.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 06:10:52 Heat of formation + Delta-G solvation = -108.967896 kcal Electronic energy + Delta-G solvation = -31971.133726 eV Core-core repulsion = 27843.446265 eV Total energy + Delta-G solvation = -4127.687461 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.98 seconds Orbital eigenvalues (eV) -40.62146 -38.96612 -37.55074 -36.34374 -34.85721 -33.84276 -32.63840 -31.89255 -31.00928 -30.68936 -28.74140 -27.81367 -25.30235 -24.21486 -23.21022 -22.57385 -22.06635 -21.38303 -20.91963 -19.86048 -18.77089 -17.68452 -16.96388 -16.49138 -16.39254 -16.18592 -15.71644 -15.00772 -14.97410 -14.60571 -14.17529 -14.09729 -13.91132 -13.62015 -13.51835 -13.31782 -13.28823 -13.12992 -12.92945 -12.70656 -12.33135 -12.12515 -12.04887 -12.03950 -11.84550 -11.69206 -11.55248 -11.24337 -11.19002 -11.04831 -10.84921 -10.71258 -10.68910 -10.42073 -10.18168 -10.16210 -10.07014 -9.76238 -9.51837 -9.29131 -9.12279 -8.56203 -8.33790 -6.81280 -6.01035 -3.42349 2.75112 3.05663 3.25565 3.44951 3.49066 3.70991 4.18169 4.39272 4.46981 4.48950 4.78634 4.80370 4.87761 4.91488 4.93945 5.02645 5.13207 5.21880 5.26422 5.29662 5.43539 5.49267 5.50795 5.54759 5.58060 5.66621 5.73817 5.75744 5.78497 5.81001 5.86590 5.98271 6.00411 6.00948 6.07190 6.12134 6.17368 6.22952 6.34228 6.52149 6.52826 6.64941 6.68738 6.80645 6.90216 7.11748 7.14669 7.63717 8.03891 8.10750 8.39018 8.39556 8.98920 9.70328 10.13048 11.14827 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017151 B = 0.002937 C = 0.002742 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1632.137833 B = 9530.558503 C =10207.803567 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C -0.119 4.119 3 C 0.076 3.924 4 H 0.071 0.929 5 C -0.151 4.151 6 C -0.145 4.145 7 C 0.067 3.933 8 H 0.106 0.894 9 C 0.502 3.498 10 O -0.533 6.533 11 N -0.602 5.602 12 C 0.115 3.885 13 C -0.143 4.143 14 C 0.191 3.809 15 N -0.595 5.595 16 C -0.261 4.261 17 H 0.080 0.920 18 C 0.033 3.967 19 N -0.901 5.901 20 Si 0.873 3.127 21 H -0.289 1.289 22 H -0.301 1.301 23 H -0.267 1.267 24 C 0.138 3.862 25 C 0.058 3.942 26 O -0.566 6.566 27 C -0.136 4.136 28 C 0.106 3.894 29 O -0.345 6.345 30 H 0.064 0.936 31 H 0.052 0.948 32 H 0.052 0.948 33 H 0.070 0.930 34 H 0.073 0.927 35 H 0.083 0.917 36 H 0.085 0.915 37 H 0.094 0.906 38 H 0.081 0.919 39 H 0.060 0.940 40 H 0.084 0.916 41 H 0.066 0.934 42 H 0.075 0.925 43 H 0.058 0.942 44 H 0.262 0.738 45 H 0.040 0.960 46 H 0.070 0.930 47 H 0.026 0.974 48 H 0.050 0.950 49 H 0.361 0.639 50 H 0.067 0.933 51 H 0.076 0.924 52 H 0.066 0.934 53 H 0.075 0.925 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 5.740 -10.003 17.637 21.073 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 -0.209 4.209 2 C -0.157 4.157 3 C 0.018 3.982 4 H 0.089 0.911 5 C -0.188 4.188 6 C -0.183 4.183 7 C 0.005 3.995 8 H 0.124 0.876 9 C 0.289 3.711 10 O -0.410 6.410 11 N -0.337 5.337 12 C -0.008 4.008 13 C -0.183 4.183 14 C 0.084 3.916 15 N -0.316 5.316 16 C -0.389 4.389 17 H 0.097 0.903 18 C -0.167 4.167 19 N -0.543 5.543 20 Si 0.703 3.297 21 H -0.217 1.217 22 H -0.229 1.229 23 H -0.192 1.192 24 C 0.012 3.988 25 C -0.022 4.022 26 O -0.369 6.369 27 C -0.176 4.176 28 C -0.017 4.017 29 O -0.263 6.263 30 H 0.083 0.917 31 H 0.071 0.929 32 H 0.071 0.929 33 H 0.089 0.911 34 H 0.091 0.909 35 H 0.101 0.899 36 H 0.103 0.897 37 H 0.113 0.887 38 H 0.100 0.900 39 H 0.078 0.922 40 H 0.103 0.897 41 H 0.084 0.916 42 H 0.094 0.906 43 H 0.076 0.924 44 H 0.072 0.928 45 H 0.059 0.941 46 H 0.088 0.912 47 H 0.044 0.956 48 H 0.069 0.931 49 H 0.206 0.794 50 H 0.086 0.914 51 H 0.094 0.906 52 H 0.085 0.915 53 H 0.094 0.906 Dipole moment (debyes) X Y Z Total from point charges 4.232 -9.666 17.609 20.528 hybrid contribution 0.714 1.087 -0.305 1.336 sum 4.946 -8.579 17.304 19.937 Atomic orbital electron populations 1.21734 0.95167 1.01356 1.02639 1.21643 0.97023 0.94514 1.02504 1.23144 0.93972 0.93999 0.87059 0.91096 1.23329 0.95980 0.97374 1.02155 1.23182 0.99110 0.98431 0.97583 1.22605 0.87882 0.88744 1.00232 0.87615 1.20881 0.85922 0.87061 0.77266 1.90673 1.17775 1.83408 1.49124 1.48128 1.11651 1.07990 1.65962 1.21669 1.00671 0.80390 0.98037 1.22390 1.00051 1.01075 0.94789 1.20187 0.92017 0.92156 0.87224 1.44092 1.44763 1.40207 1.02536 1.18717 1.33502 0.93052 0.93667 0.90296 1.25500 0.97933 0.97548 0.95685 1.69853 1.48883 1.35697 0.99836 0.86988 0.76772 0.87386 0.78537 1.21698 1.22945 1.19160 1.21272 0.87052 0.90767 0.99678 1.23000 0.98296 0.95797 0.85138 1.86522 1.36495 1.78081 1.35852 1.22281 1.02243 0.98919 0.94142 1.21964 0.81248 1.00357 0.98097 1.88592 1.41955 1.58349 1.37417 0.91737 0.92887 0.92877 0.91092 0.90851 0.89860 0.89668 0.88747 0.90005 0.92168 0.89719 0.91576 0.90634 0.92406 0.92762 0.94118 0.91238 0.95590 0.93124 0.79438 0.91428 0.90568 0.91541 0.90632 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 -0.15 -1.42 9.85 37.16 0.37 -1.05 16 2 C -0.12 -1.03 5.66 -26.73 -0.15 -1.18 16 3 C 0.08 0.79 3.41 -25.71 -0.09 0.70 16 4 H 0.07 0.78 8.14 -51.93 -0.42 0.35 16 5 C -0.15 -1.17 6.57 -24.49 -0.16 -1.33 16 6 C -0.15 -1.31 5.38 -24.79 -0.13 -1.45 16 7 C 0.07 0.86 3.05 -27.16 -0.08 0.78 16 8 H 0.11 1.27 7.48 -51.93 -0.39 0.89 16 9 C 0.50 8.22 6.97 -10.99 -0.08 8.14 16 10 O -0.53 -10.88 15.94 -14.10 -0.22 -11.10 16 11 N -0.60 -9.17 2.97 -172.75 -0.51 -9.68 16 12 C 0.11 1.86 6.43 -3.71 -0.02 1.84 16 13 C -0.14 -2.71 5.31 -26.61 -0.14 -2.85 16 14 C 0.19 3.59 1.93 -67.89 -0.13 3.45 16 15 N -0.60 -13.18 2.01 -165.62 -0.33 -13.52 16 16 C -0.26 -6.86 8.69 -15.06 -0.13 -6.99 16 17 H 0.08 2.28 7.04 -52.48 -0.37 1.91 16 18 C 0.03 0.93 5.27 -17.43 -0.09 0.84 16 19 N -0.90 -26.87 13.97 55.49 0.78 -26.09 16 20 Si 0.87 21.59 24.97 -169.99 -4.25 17.34 16 21 H -0.29 -6.89 6.71 56.52 0.38 -6.51 16 22 H -0.30 -7.71 7.11 56.52 0.40 -7.31 16 23 H -0.27 -6.46 7.11 56.52 0.40 -6.06 16 24 C 0.14 2.86 4.63 -4.04 -0.02 2.84 16 25 C 0.06 1.00 7.39 37.16 0.27 1.27 16 26 O -0.57 -8.59 12.07 -35.23 -0.43 -9.02 16 27 C -0.14 -2.25 5.30 -26.59 -0.14 -2.40 16 28 C 0.11 1.37 5.72 -3.70 -0.02 1.35 16 29 O -0.35 -4.94 10.03 -54.88 -0.55 -5.49 16 30 H 0.06 0.74 7.99 -51.93 -0.41 0.32 16 31 H 0.05 0.41 8.14 -51.93 -0.42 -0.01 16 32 H 0.05 0.48 8.14 -51.93 -0.42 0.05 16 33 H 0.07 0.62 8.14 -51.93 -0.42 0.19 16 34 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 35 H 0.08 0.57 8.06 -51.93 -0.42 0.15 16 36 H 0.08 0.51 8.14 -51.93 -0.42 0.09 16 37 H 0.09 0.66 6.96 -51.93 -0.36 0.30 16 38 H 0.08 0.78 7.84 -51.93 -0.41 0.37 16 39 H 0.06 0.86 8.14 -51.93 -0.42 0.44 16 40 H 0.08 1.47 7.00 -51.93 -0.36 1.11 16 41 H 0.07 1.29 8.14 -51.93 -0.42 0.87 16 42 H 0.07 1.65 7.71 -51.93 -0.40 1.25 16 43 H 0.06 1.05 7.51 -51.92 -0.39 0.66 16 44 H 0.26 7.48 8.31 -40.82 -0.34 7.14 16 45 H 0.04 0.80 8.06 -51.93 -0.42 0.38 16 46 H 0.07 1.57 3.61 -51.93 -0.19 1.38 16 47 H 0.03 0.39 8.14 -51.93 -0.42 -0.03 16 48 H 0.05 0.95 8.14 -51.93 -0.42 0.53 16 49 H 0.36 3.76 9.12 45.56 0.42 4.17 16 50 H 0.07 1.30 7.06 -51.93 -0.37 0.94 16 51 H 0.08 1.26 7.63 -51.93 -0.40 0.86 16 52 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 53 H 0.08 0.80 4.46 -51.93 -0.23 0.56 16 LS Contribution 399.85 15.07 6.03 6.03 Total: -1.00 -33.40 399.85 -8.75 -42.15 By element: Atomic # 1 Polarization: 13.91 SS G_CDS: -8.51 Total: 5.41 kcal Atomic # 6 Polarization: 4.73 SS G_CDS: -0.75 Total: 3.97 kcal Atomic # 7 Polarization: -49.22 SS G_CDS: -0.07 Total: -49.29 kcal Atomic # 8 Polarization: -24.41 SS G_CDS: -1.20 Total: -25.61 kcal Atomic # 14 Polarization: 21.59 SS G_CDS: -4.25 Total: 17.34 kcal Total LS contribution 6.03 Total: 6.03 kcal Total: -33.40 -8.75 -42.15 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. ZINC001098383766.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 -66.815 kcal (2) G-P(sol) polarization free energy of solvation -33.403 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -100.218 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.750 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.153 kcal (6) G-S(sol) free energy of system = (1) + (5) -108.968 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.98 seconds