Wall clock time and date at job start Sat Apr 11 2020 06:11:32 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 C 1.52998 * 109.47267 * 2 1 4 4 H 1.08997 * 109.47624 * 299.58698 * 3 2 1 5 5 C 1.50707 * 109.47218 * 179.58535 * 3 2 1 6 6 O 1.21279 * 120.00381 * 262.53819 * 5 3 2 7 7 N 1.34775 * 119.99257 * 82.53908 * 5 3 2 8 8 C 1.46499 * 120.00645 * 6.45167 * 7 5 3 9 9 C 1.46509 * 119.99761 * 186.45254 * 7 5 3 10 10 C 1.53777 * 113.61556 * 215.44898 * 9 7 5 11 11 C 1.54047 * 86.98268 * 270.83576 * 10 9 7 12 12 N 1.46901 * 113.69631 * 220.00811 * 11 10 9 13 13 C 1.46895 * 111.00257 * 252.53529 * 12 11 10 14 14 C 1.50700 * 109.47325 * 179.97438 * 13 12 11 15 15 O 1.21297 * 120.00048 * 0.02562 * 14 13 12 16 16 N 1.34778 * 120.00523 * 180.02562 * 14 13 12 17 17 C 1.37087 * 120.00361 * 180.02562 * 16 14 13 18 18 H 1.08000 * 120.00181 * 359.97438 * 17 16 14 19 19 C 1.38959 * 120.00344 * 180.02562 * 17 16 14 20 20 N 1.31417 * 119.99668 * 359.97438 * 19 17 16 21 21 Si 1.86794 * 120.00438 * 179.97438 * 19 17 16 22 22 H 1.48500 * 109.47179 * 59.99317 * 21 19 17 23 23 H 1.48497 * 109.47340 * 179.97438 * 21 19 17 24 24 H 1.48500 * 109.46818 * 299.99716 * 21 19 17 25 25 C 1.53777 * 113.61479 * 117.83502 * 9 7 5 26 26 N 1.46899 * 109.46840 * 59.59031 * 3 2 1 27 27 C 1.46905 * 111.00125 * 55.51389 * 26 3 2 28 28 C 1.46903 * 110.99979 * 179.46355 * 26 3 2 29 29 H 1.09004 * 109.47018 * 54.76293 * 1 2 3 30 30 H 1.08991 * 109.47042 * 294.76268 * 1 2 3 31 31 H 1.08997 * 109.46767 * 174.75713 * 1 2 3 32 32 H 1.09001 * 109.47088 * 120.00175 * 2 1 3 33 33 H 1.09001 * 109.47416 * 239.99909 * 2 1 3 34 34 H 1.08997 * 109.46841 * 33.41690 * 8 7 5 35 35 H 1.08999 * 109.47022 * 153.41257 * 8 7 5 36 36 H 1.09001 * 109.47044 * 273.41669 * 8 7 5 37 37 H 1.09002 * 112.84725 * 346.64471 * 9 7 5 38 38 H 1.08993 * 113.61461 * 25.42789 * 10 9 7 39 39 H 1.08997 * 113.61094 * 156.33484 * 10 9 7 40 40 H 1.09004 * 113.61385 * 89.11871 * 11 10 9 41 41 H 1.00904 * 111.00197 * 128.58461 * 12 11 10 42 42 H 1.09002 * 109.47593 * 299.99914 * 13 12 11 43 43 H 1.09002 * 109.47178 * 59.99993 * 13 12 11 44 44 H 0.97005 * 119.99476 * 0.02562 * 16 14 13 45 45 H 0.97000 * 119.99957 * 180.02562 * 20 19 17 46 46 H 1.08995 * 113.61585 * 203.66776 * 25 9 7 47 47 H 1.08999 * 113.61389 * 334.57729 * 25 9 7 48 48 H 1.08998 * 109.47297 * 68.56692 * 27 26 3 49 49 H 1.09001 * 109.46792 * 188.56984 * 27 26 3 50 50 H 1.09001 * 109.46368 * 308.56429 * 27 26 3 51 51 H 1.08999 * 109.47087 * 62.71403 * 28 26 3 52 52 H 1.08999 * 109.47167 * 182.70796 * 28 26 3 53 53 H 1.08998 * 109.47310 * 302.71023 * 28 26 3 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 2.0400 1.4425 0.0000 4 1 1.6828 1.9542 -0.8936 5 6 3.5471 1.4425 0.0103 6 8 4.1464 1.5814 1.0554 7 7 4.2287 1.2881 -1.1421 8 6 3.5118 1.2622 -2.4195 9 6 5.6867 1.1462 -1.1174 10 6 6.3905 1.8099 -2.3128 11 6 6.2193 0.4699 -3.0532 12 7 7.3851 0.0891 -3.8618 13 6 7.1037 0.2408 -5.2955 14 6 8.3199 -0.1576 -6.0912 15 8 9.3225 -0.5316 -5.5201 16 7 8.2937 -0.0984 -7.4374 17 6 9.3999 -0.4613 -8.1612 18 1 10.2926 -0.7943 -7.6527 19 6 9.3731 -0.3997 -9.5492 20 7 8.2871 0.0060 -10.1680 21 14 10.8807 -0.8935 -10.5354 22 1 11.2197 -2.3099 -10.2456 23 1 10.5964 -0.7395 -11.9847 24 1 12.0244 -0.0240 -10.1598 25 6 6.1840 -0.2001 -1.6695 26 7 1.5423 2.1378 1.1945 27 6 1.9155 1.4154 2.4180 28 6 2.0235 3.5252 1.2348 29 1 -0.3633 0.5929 -0.8394 30 1 -0.3633 0.4304 0.9331 31 1 -0.3633 -1.0234 -0.0939 32 1 1.8933 -0.5139 0.8900 33 1 1.8934 -0.5138 -0.8900 34 1 2.6461 1.9220 -2.3637 35 1 4.1754 1.6000 -3.2154 36 1 3.1806 0.2452 -2.6296 37 1 6.1213 1.4101 -0.1533 38 1 5.8231 2.6295 -2.7535 39 1 7.4305 2.0708 -2.1171 40 1 5.2803 0.3905 -3.6009 41 1 7.6811 -0.8518 -3.6491 42 1 6.2640 -0.3976 -5.5706 43 1 6.8548 1.2803 -5.5090 44 1 7.4920 0.2011 -7.8942 45 1 8.2682 0.0487 -11.1369 46 1 7.1676 -0.4877 -1.2983 47 1 5.4499 -1.0020 -1.5913 48 1 2.9943 1.4762 2.5611 49 1 1.4096 1.8636 3.2731 50 1 1.6193 0.3703 2.3274 51 1 1.6342 4.0699 0.3747 52 1 1.6801 4.0023 2.1528 53 1 3.1131 3.5328 1.2070 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 ZINC001508141938.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 06:11:32 Heat of formation + Delta-G solvation = -21.743752 kcal Electronic energy + Delta-G solvation = -30427.386937 eV Core-core repulsion = 26335.774550 eV Total energy + Delta-G solvation = -4091.612387 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 1.03 seconds Orbital eigenvalues (eV) -41.23847 -39.52505 -38.14536 -36.88467 -35.27592 -34.04792 -33.40075 -32.71187 -31.21782 -28.33517 -27.86418 -27.65121 -26.72347 -25.75149 -24.38221 -23.67036 -22.96649 -21.58204 -19.97860 -19.31917 -18.85446 -17.90223 -17.83136 -16.74783 -16.34741 -16.01045 -15.92196 -15.30098 -15.16260 -15.06901 -14.77229 -14.54242 -14.26964 -13.99923 -13.69084 -13.51287 -13.46097 -13.37333 -12.99086 -12.70695 -12.45286 -12.39001 -12.25395 -12.21836 -12.06923 -11.93931 -11.82750 -11.75828 -11.57945 -11.36951 -11.29449 -11.04756 -11.04055 -10.75856 -10.52681 -10.45712 -10.33479 -10.22472 -9.52111 -8.94120 -8.47202 -8.43808 -8.10013 -7.98135 -6.43790 -3.84592 2.20837 2.60887 3.18660 3.24436 3.28920 3.56518 3.88399 4.08668 4.09466 4.33720 4.37242 4.40562 4.47316 4.54639 4.71490 4.74655 4.83718 4.89418 4.98515 5.10170 5.15870 5.17151 5.23956 5.25104 5.28451 5.30608 5.37961 5.41479 5.56430 5.61100 5.62409 5.66188 5.68154 5.69822 5.73165 5.78803 5.83513 5.89640 5.96512 6.01440 6.06019 6.23194 6.40312 6.54811 6.62858 7.05995 7.23817 7.53104 7.62241 7.83307 8.04020 8.59060 9.15756 9.51948 10.03489 10.73832 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.026725 B = 0.001806 C = 0.001760 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1047.445706 B =15500.786435 C =15908.137142 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.140 4.140 2 C -0.113 4.113 3 C 0.064 3.936 4 H 0.105 0.895 5 C 0.492 3.508 6 O -0.537 6.537 7 N -0.593 5.593 8 C 0.063 3.937 9 C 0.114 3.886 10 C -0.133 4.133 11 C 0.053 3.947 12 N -0.656 5.656 13 C 0.050 3.950 14 C 0.440 3.560 15 O -0.583 6.583 16 N -0.563 5.563 17 C -0.300 4.300 18 H 0.102 0.898 19 C 0.022 3.978 20 N -0.902 5.902 21 Si 0.931 3.069 22 H -0.274 1.274 23 H -0.284 1.284 24 H -0.273 1.273 25 C -0.150 4.150 26 N -0.514 5.514 27 C -0.004 4.004 28 C 0.013 3.987 29 H 0.055 0.945 30 H 0.066 0.934 31 H 0.052 0.948 32 H 0.071 0.929 33 H 0.071 0.929 34 H 0.072 0.928 35 H 0.087 0.913 36 H 0.060 0.940 37 H 0.108 0.892 38 H 0.068 0.932 39 H 0.104 0.896 40 H 0.076 0.924 41 H 0.351 0.649 42 H 0.042 0.958 43 H 0.085 0.915 44 H 0.392 0.608 45 H 0.272 0.728 46 H 0.100 0.900 47 H 0.067 0.933 48 H 0.070 0.930 49 H 0.061 0.939 50 H 0.066 0.934 51 H 0.064 0.936 52 H 0.070 0.930 53 H 0.041 0.959 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -18.806 3.615 19.115 27.058 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 -0.197 4.197 2 C -0.151 4.151 3 C -0.048 4.048 4 H 0.123 0.877 5 C 0.279 3.721 6 O -0.415 6.415 7 N -0.326 5.326 8 C -0.080 4.080 9 C 0.010 3.990 10 C -0.172 4.172 11 C -0.057 4.057 12 N -0.288 5.288 13 C -0.082 4.082 14 C 0.225 3.775 15 O -0.468 6.468 16 N -0.200 5.200 17 C -0.430 4.430 18 H 0.120 0.880 19 C -0.180 4.180 20 N -0.543 5.543 21 Si 0.758 3.242 22 H -0.199 1.199 23 H -0.210 1.210 24 H -0.199 1.199 25 C -0.189 4.189 26 N -0.237 5.237 27 C -0.151 4.151 28 C -0.135 4.135 29 H 0.074 0.926 30 H 0.085 0.915 31 H 0.071 0.929 32 H 0.090 0.910 33 H 0.089 0.911 34 H 0.090 0.910 35 H 0.106 0.894 36 H 0.079 0.921 37 H 0.126 0.874 38 H 0.087 0.913 39 H 0.122 0.878 40 H 0.094 0.906 41 H 0.172 0.828 42 H 0.060 0.940 43 H 0.103 0.897 44 H 0.225 0.775 45 H 0.082 0.918 46 H 0.118 0.882 47 H 0.086 0.914 48 H 0.088 0.912 49 H 0.080 0.920 50 H 0.085 0.915 51 H 0.083 0.917 52 H 0.088 0.912 53 H 0.060 0.940 Dipole moment (debyes) X Y Z Total from point charges -18.073 4.081 19.866 27.166 hybrid contribution 0.509 -0.751 -1.257 1.550 sum -17.564 3.330 18.610 25.805 Atomic orbital electron populations 1.21630 0.93872 1.01244 1.02981 1.21555 0.97717 0.92969 1.02908 1.22089 0.88477 0.97859 0.96410 0.87704 1.22100 0.91285 0.75470 0.83252 1.90600 1.70848 1.49504 1.30544 1.47779 1.06629 1.71457 1.06742 1.22130 0.97562 1.02160 0.86159 1.21869 0.79540 0.97095 1.00522 1.23513 1.01823 0.96960 0.94903 1.23395 0.93015 0.96637 0.92658 1.60190 1.32366 1.32676 1.03612 1.21729 0.96412 1.01551 0.88557 1.19823 0.89561 0.85092 0.83016 1.90526 1.34144 1.52087 1.70001 1.41858 1.15549 1.58255 1.04333 1.19656 0.93761 1.41104 0.88439 0.87980 1.25268 0.98415 0.97361 0.96911 1.69604 1.27591 1.47184 1.09960 0.85909 0.81013 0.79246 0.78004 1.19922 1.20969 1.19873 1.23625 1.02362 0.96814 0.96135 1.62523 1.56744 1.02497 1.01890 1.22818 1.02467 0.98620 0.91201 1.22504 0.99451 0.89032 1.02554 0.92586 0.91490 0.92882 0.91036 0.91077 0.90978 0.89424 0.92103 0.87448 0.91341 0.87798 0.90613 0.82843 0.93960 0.89721 0.77484 0.91817 0.88161 0.91382 0.91162 0.92006 0.91497 0.91705 0.91158 0.94024 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.14 -0.82 9.67 37.16 0.36 -0.47 16 2 C -0.11 -0.77 4.94 -26.73 -0.13 -0.90 16 3 C 0.06 0.50 1.66 -68.86 -0.11 0.39 16 4 H 0.11 0.69 6.15 -51.93 -0.32 0.37 16 5 C 0.49 5.00 5.90 -10.98 -0.06 4.94 16 6 O -0.54 -7.13 11.73 5.56 0.07 -7.06 16 7 N -0.59 -5.43 3.08 -173.00 -0.53 -5.96 16 8 C 0.06 0.42 8.40 59.85 0.50 0.92 16 9 C 0.11 1.19 4.45 -67.12 -0.30 0.89 16 10 C -0.13 -1.44 7.11 -25.78 -0.18 -1.62 16 11 C 0.05 0.61 3.47 -66.76 -0.23 0.37 16 12 N -0.66 -10.13 6.19 -106.98 -0.66 -10.79 16 13 C 0.05 0.85 6.01 -4.98 -0.03 0.82 16 14 C 0.44 10.25 7.82 -10.98 -0.09 10.16 16 15 O -0.58 -15.76 15.78 5.54 0.09 -15.67 16 16 N -0.56 -14.13 5.29 -10.96 -0.06 -14.19 16 17 C -0.30 -8.33 9.68 -14.93 -0.14 -8.47 16 18 H 0.10 2.97 7.16 -52.49 -0.38 2.60 16 19 C 0.02 0.59 5.50 -17.46 -0.10 0.49 16 20 N -0.90 -24.31 13.05 55.50 0.72 -23.58 16 21 Si 0.93 20.95 29.55 -169.99 -5.02 15.93 16 22 H -0.27 -6.12 7.11 56.52 0.40 -5.72 16 23 H -0.28 -6.23 7.11 56.52 0.40 -5.83 16 24 H -0.27 -6.13 7.11 56.52 0.40 -5.73 16 25 C -0.15 -1.56 7.35 -25.92 -0.19 -1.75 16 26 N -0.51 -4.38 4.37 -244.58 -1.07 -5.44 16 27 C 0.00 -0.03 8.81 60.07 0.53 0.50 16 28 C 0.01 0.11 9.29 60.07 0.56 0.66 16 29 H 0.06 0.31 8.14 -51.93 -0.42 -0.12 16 30 H 0.07 0.45 7.73 -51.93 -0.40 0.04 16 31 H 0.05 0.28 8.14 -51.93 -0.42 -0.14 16 32 H 0.07 0.55 6.18 -51.93 -0.32 0.23 16 33 H 0.07 0.44 7.57 -51.93 -0.39 0.05 16 34 H 0.07 0.36 6.16 -51.93 -0.32 0.04 16 35 H 0.09 0.61 4.69 -51.93 -0.24 0.37 16 36 H 0.06 0.35 7.76 -51.93 -0.40 -0.05 16 37 H 0.11 1.28 7.23 -51.93 -0.38 0.90 16 38 H 0.07 0.70 7.29 -51.93 -0.38 0.32 16 39 H 0.10 1.25 8.14 -51.93 -0.42 0.83 16 40 H 0.08 0.77 5.32 -51.93 -0.28 0.49 16 41 H 0.35 5.67 8.25 -39.29 -0.32 5.34 16 42 H 0.04 0.64 8.13 -51.93 -0.42 0.22 16 43 H 0.08 1.33 8.14 -51.93 -0.42 0.91 16 44 H 0.39 9.35 7.90 -40.82 -0.32 9.02 16 45 H 0.27 6.95 8.31 -40.82 -0.34 6.61 16 46 H 0.10 1.09 8.14 -51.93 -0.42 0.66 16 47 H 0.07 0.68 8.14 -51.93 -0.42 0.25 16 48 H 0.07 0.79 5.40 -51.93 -0.28 0.51 16 49 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 50 H 0.07 0.54 5.77 -51.93 -0.30 0.24 16 51 H 0.06 0.47 8.14 -51.93 -0.42 0.04 16 52 H 0.07 0.53 8.12 -51.93 -0.42 0.10 16 53 H 0.04 0.43 6.09 -51.93 -0.32 0.12 16 LS Contribution 406.74 15.07 6.13 6.13 Total: -1.00 -32.27 406.74 -8.67 -40.94 By element: Atomic # 1 Polarization: 21.48 SS G_CDS: -8.71 Total: 12.77 kcal Atomic # 6 Polarization: 6.55 SS G_CDS: 0.38 Total: 6.93 kcal Atomic # 7 Polarization: -58.37 SS G_CDS: -1.60 Total: -59.96 kcal Atomic # 8 Polarization: -22.89 SS G_CDS: 0.15 Total: -22.73 kcal Atomic # 14 Polarization: 20.95 SS G_CDS: -5.02 Total: 15.93 kcal Total LS contribution 6.13 Total: 6.13 kcal Total: -32.27 -8.67 -40.94 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. ZINC001508141938.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 19.197 kcal (2) G-P(sol) polarization free energy of solvation -32.271 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -13.074 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.670 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.941 kcal (6) G-S(sol) free energy of system = (1) + (5) -21.744 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.04 seconds