Wall clock time and date at job start Wed Apr 1 2020 00:24:13 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 1.52995 * 1 3 3 H 1.08998 * 109.51232 * 2 1 4 4 C 1.53286 * 109.51160 * 120.09971 * 2 1 3 5 5 N 1.47160 * 108.52786 * 172.79615 * 4 2 1 6 6 C 1.34771 * 121.04801 * 128.93840 * 5 4 2 7 7 O 1.21586 * 120.00158 * 354.78106 * 6 5 4 8 8 N 1.34780 * 120.00314 * 174.78174 * 6 5 4 9 9 C 1.46490 * 120.00378 * 184.97062 * 8 6 5 10 10 C 1.53000 * 109.47375 * 180.02562 * 9 8 6 11 11 C 1.53004 * 109.47148 * 300.00567 * 10 9 8 12 12 C 1.53002 * 109.47158 * 59.99989 * 10 9 8 13 13 C 1.52999 * 109.47467 * 180.02562 * 10 9 8 14 14 C 1.50704 * 109.47189 * 180.02562 * 13 10 9 15 15 H 1.08000 * 119.99949 * 0.02562 * 14 13 10 16 16 C 1.37878 * 120.00225 * 180.02562 * 14 13 10 17 17 N 1.31520 * 119.99556 * 359.97438 * 16 14 13 18 18 Si 1.86793 * 120.00002 * 180.02562 * 16 14 13 19 19 H 1.48499 * 109.47465 * 59.99982 * 18 16 14 20 20 H 1.48501 * 109.46728 * 179.97438 * 18 16 14 21 21 H 1.48493 * 109.47186 * 299.99255 * 18 16 14 22 22 C 1.47279 * 117.90038 * 308.95364 * 5 4 2 23 23 C 1.52655 * 108.39131 * 49.55254 * 22 5 4 24 24 C 1.53981 * 110.13870 * 71.78475 * 23 22 5 25 25 C 1.54613 * 103.87104 * 118.22878 * 24 23 22 26 26 O 1.44469 * 104.82048 * 23.89707 * 25 24 23 27 27 C 1.44553 * 105.37180 * 319.84273 * 26 25 24 28 28 O 1.42299 * 110.87035 * 309.29798 * 23 22 5 29 29 H 1.09007 * 109.47164 * 299.99961 * 1 2 3 30 30 H 1.09005 * 109.47266 * 60.00088 * 1 2 3 31 31 H 1.09002 * 109.47286 * 180.02562 * 1 2 3 32 32 H 1.09003 * 109.63255 * 292.50776 * 4 2 1 33 33 H 1.09005 * 109.62848 * 52.89035 * 4 2 1 34 34 H 0.97000 * 119.99601 * 4.97552 * 8 6 5 35 35 H 1.08998 * 109.47746 * 300.00435 * 9 8 6 36 36 H 1.09006 * 109.47279 * 60.00556 * 9 8 6 37 37 H 1.08997 * 109.47497 * 59.99087 * 11 10 9 38 38 H 1.08997 * 109.47235 * 180.02562 * 11 10 9 39 39 H 1.08997 * 109.46830 * 299.99443 * 11 10 9 40 40 H 1.09003 * 109.46867 * 60.00284 * 12 10 9 41 41 H 1.08994 * 109.47608 * 180.02562 * 12 10 9 42 42 H 1.09003 * 109.47016 * 300.00646 * 12 10 9 43 43 H 1.08996 * 109.47124 * 299.99782 * 13 10 9 44 44 H 1.08997 * 109.47159 * 60.00160 * 13 10 9 45 45 H 0.96994 * 119.99479 * 180.02562 * 17 16 14 46 46 H 1.09000 * 109.67727 * 169.27625 * 22 5 4 47 47 H 1.08997 * 109.68079 * 289.79342 * 22 5 4 48 48 H 1.08997 * 110.54972 * 236.82919 * 24 23 22 49 49 H 1.08997 * 110.54821 * 359.63959 * 24 23 22 50 50 H 1.08999 * 110.36842 * 142.72870 * 25 24 23 51 51 H 1.08993 * 110.37669 * 265.05973 * 25 24 23 52 52 H 1.09007 * 110.38895 * 281.17755 * 27 26 25 53 53 H 1.08998 * 110.39734 * 158.78603 * 27 26 25 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 1.8940 1.0274 0.0000 4 6 2.0419 -0.7246 1.2500 5 7 3.5029 -0.8651 1.1436 6 6 4.3133 -0.4804 2.1493 7 8 3.8491 0.0780 3.1245 8 7 5.6385 -0.7145 2.0742 9 6 6.5044 -0.3957 3.2120 10 6 7.9514 -0.7547 2.8681 11 6 8.0460 -2.2501 2.5584 12 6 8.3994 0.0486 1.6455 13 6 8.8556 -0.4224 4.0567 14 6 10.2810 -0.7754 3.7177 15 1 10.5182 -1.1945 2.7510 16 6 11.2822 -0.5634 4.6417 17 7 10.9933 -0.0526 5.8187 18 14 13.0489 -1.0004 4.2212 19 1 13.4835 -0.2188 3.0356 20 1 13.9265 -0.6779 5.3749 21 1 13.1414 -2.4512 3.9187 22 6 4.0515 -1.4393 -0.0968 23 6 3.4257 -0.7100 -1.2830 24 6 3.9899 0.7191 -1.3843 25 6 4.6919 0.7436 -2.7617 26 8 4.0397 -0.2934 -3.5274 27 6 3.8415 -1.3860 -2.6019 28 8 2.0079 -0.6764 -1.1667 29 1 -0.3634 0.5139 0.8900 30 1 -0.3634 0.5138 -0.8900 31 1 -0.3634 -1.0277 0.0005 32 1 1.7938 -0.1430 2.1379 33 1 1.5803 -1.7098 1.3170 34 1 6.0189 -1.0940 1.2666 35 1 6.4373 0.6697 3.4324 36 1 6.1850 -0.9678 4.0832 37 1 7.4017 -2.4873 1.7118 38 1 9.0769 -2.5059 2.3139 39 1 7.7269 -2.8224 3.4294 40 1 8.3320 1.1140 1.8661 41 1 9.4301 -0.2074 1.4002 42 1 7.7551 -0.1885 0.7989 43 1 8.7883 0.6428 4.2777 44 1 8.5363 -0.9950 4.9275 45 1 11.6977 0.0969 6.4685 46 1 5.1335 -1.3083 -0.1147 47 1 3.8093 -2.5007 -0.1485 48 1 3.1837 1.4519 -1.3527 49 1 4.7082 0.9044 -0.5857 50 1 4.5535 1.7128 -3.2408 51 1 5.7534 0.5225 -2.6507 52 1 4.7690 -1.9427 -2.4674 53 1 3.0496 -2.0455 -2.9567 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 ZINC000377036247.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:24:13 Heat of formation + Delta-G solvation = -119.248298 kcal Electronic energy + Delta-G solvation = -31984.795837 eV Core-core repulsion = 27856.662584 eV Total energy + Delta-G solvation = -4128.133253 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) -41.33440 -39.68612 -38.16430 -37.15688 -34.99758 -33.91859 -33.29307 -32.06383 -31.05220 -29.58157 -27.51195 -27.00312 -26.57620 -26.31818 -25.21170 -23.41852 -22.84937 -22.22130 -20.63166 -19.48687 -18.89108 -17.79869 -17.46160 -16.80695 -16.51922 -16.26116 -15.88342 -15.54871 -15.43469 -14.84787 -14.70942 -14.53955 -14.22972 -14.12297 -13.97053 -13.39800 -13.19196 -13.04651 -12.93058 -12.81948 -12.68180 -12.28449 -12.17894 -12.08517 -12.01958 -11.84455 -11.72096 -11.37522 -11.21818 -11.04721 -10.95908 -10.89464 -10.67713 -10.44463 -10.36337 -10.30391 -10.14551 -10.06669 -9.92545 -9.25211 -8.98449 -8.96747 -8.51626 -8.38487 -6.02651 -4.04286 2.46413 3.07040 3.20865 3.29662 3.35457 3.36286 3.55340 3.83063 4.09908 4.19970 4.38379 4.42537 4.49331 4.63861 4.67512 4.80727 4.84790 4.94891 5.00777 5.12389 5.22765 5.31913 5.32698 5.36175 5.39800 5.41589 5.45048 5.51801 5.56403 5.58391 5.65420 5.68432 5.79851 6.07343 6.09967 6.17940 6.24607 6.34479 6.34702 6.52259 6.57043 6.70723 6.81513 6.85503 7.00685 7.02127 7.08365 7.60533 7.72688 7.94559 7.96712 8.36925 8.62427 9.00202 9.58922 11.08765 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017016 B = 0.002691 C = 0.002436 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1645.140859 B =10403.956005 C =11492.706786 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.142 4.142 2 C 0.070 3.930 3 H 0.066 0.934 4 C 0.102 3.898 5 N -0.636 5.636 6 C 0.706 3.294 7 O -0.587 6.587 8 N -0.736 5.736 9 C 0.145 3.855 10 C -0.072 4.072 11 C -0.126 4.126 12 C -0.125 4.125 13 C 0.037 3.963 14 C -0.513 4.513 15 H 0.059 0.941 16 C 0.057 3.943 17 N -0.894 5.894 18 Si 0.889 3.111 19 H -0.278 1.278 20 H -0.288 1.288 21 H -0.278 1.278 22 C 0.094 3.906 23 C 0.077 3.923 24 C -0.179 4.179 25 C 0.046 3.954 26 O -0.368 6.368 27 C 0.061 3.939 28 O -0.357 6.357 29 H 0.076 0.924 30 H 0.067 0.933 31 H 0.066 0.934 32 H 0.104 0.896 33 H 0.072 0.928 34 H 0.392 0.608 35 H 0.063 0.937 36 H 0.062 0.938 37 H 0.026 0.974 38 H 0.067 0.933 39 H 0.048 0.952 40 H 0.048 0.952 41 H 0.067 0.933 42 H 0.025 0.975 43 H 0.019 0.981 44 H 0.019 0.981 45 H 0.261 0.739 46 H 0.090 0.910 47 H 0.080 0.920 48 H 0.085 0.915 49 H 0.085 0.915 50 H 0.094 0.906 51 H 0.066 0.934 52 H 0.080 0.920 53 H 0.106 0.894 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -18.319 -1.981 -16.657 24.839 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 -0.199 4.199 2 C 0.012 3.988 3 H 0.084 0.916 4 C -0.022 4.022 5 N -0.375 5.375 6 C 0.408 3.592 7 O -0.465 6.465 8 N -0.393 5.393 9 C 0.022 3.978 10 C -0.073 4.073 11 C -0.183 4.183 12 C -0.182 4.182 13 C 0.000 4.000 14 C -0.551 4.551 15 H 0.077 0.923 16 C -0.144 4.144 17 N -0.533 5.533 18 Si 0.717 3.283 19 H -0.203 1.203 20 H -0.214 1.214 21 H -0.203 1.203 22 C -0.030 4.030 23 C 0.036 3.964 24 C -0.217 4.217 25 C -0.030 4.030 26 O -0.286 6.286 27 C -0.016 4.016 28 O -0.276 6.276 29 H 0.095 0.905 30 H 0.086 0.914 31 H 0.085 0.915 32 H 0.122 0.878 33 H 0.090 0.910 34 H 0.229 0.771 35 H 0.081 0.919 36 H 0.080 0.920 37 H 0.045 0.955 38 H 0.086 0.914 39 H 0.067 0.933 40 H 0.067 0.933 41 H 0.086 0.914 42 H 0.044 0.956 43 H 0.037 0.963 44 H 0.037 0.963 45 H 0.071 0.929 46 H 0.108 0.892 47 H 0.098 0.902 48 H 0.104 0.896 49 H 0.103 0.897 50 H 0.113 0.887 51 H 0.084 0.916 52 H 0.098 0.902 53 H 0.125 0.875 Dipole moment (debyes) X Y Z Total from point charges -18.723 -1.590 -16.063 24.720 hybrid contribution 1.497 -0.273 -0.022 1.522 sum -17.226 -1.863 -16.085 23.642 Atomic orbital electron populations 1.21715 0.91941 1.03307 1.02981 1.22585 0.95529 0.95908 0.84775 0.91573 1.22160 0.78823 1.01644 0.99530 1.47271 1.06424 1.67551 1.16221 1.15865 0.81577 0.79283 0.82514 1.90914 1.75138 1.47798 1.32651 1.45539 1.05371 1.68413 1.19950 1.21533 0.89023 1.00540 0.86704 1.20923 0.92218 0.95188 0.98962 1.21752 1.01688 0.95626 0.99240 1.21748 1.01284 0.99682 0.95534 1.19076 0.93010 0.97056 0.90889 1.21133 0.91945 1.41745 1.00264 0.92329 1.25011 0.98906 0.95415 0.95116 1.69955 1.32986 1.44443 1.05947 0.86709 0.84942 0.78834 0.77798 1.20331 1.21382 1.20326 1.22150 0.98788 0.98277 0.83779 1.22750 0.82814 0.95179 0.95705 1.23529 1.01810 0.97349 0.98974 1.23442 0.96406 0.92675 0.90513 1.89200 1.79935 1.26148 1.33302 1.23296 1.01367 0.90370 0.86571 1.87913 1.18859 1.77530 1.43343 0.90545 0.91395 0.91478 0.87785 0.90960 0.77100 0.91860 0.91960 0.95532 0.91379 0.93301 0.93299 0.91363 0.95633 0.96306 0.96300 0.92948 0.89235 0.90164 0.89594 0.89652 0.88730 0.91596 0.90226 0.87544 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 -0.14 -0.96 9.57 37.16 0.36 -0.61 16 2 C 0.07 0.63 3.11 -26.59 -0.08 0.55 16 3 H 0.07 0.64 6.51 -51.93 -0.34 0.30 16 4 C 0.10 1.05 5.93 -3.53 -0.02 1.03 16 5 N -0.64 -7.38 2.91 -178.29 -0.52 -7.89 16 6 C 0.71 10.75 8.31 -86.92 -0.72 10.03 16 7 O -0.59 -11.26 15.82 5.29 0.08 -11.18 16 8 N -0.74 -10.58 4.87 -65.23 -0.32 -10.90 16 9 C 0.15 2.53 4.57 -4.05 -0.02 2.51 16 10 C -0.07 -1.33 0.54 -154.51 -0.08 -1.41 16 11 C -0.13 -2.13 8.05 37.16 0.30 -1.83 16 12 C -0.13 -2.10 8.05 37.16 0.30 -1.81 16 13 C 0.04 0.89 4.04 -27.88 -0.11 0.78 16 14 C -0.51 -13.35 7.65 -34.44 -0.26 -13.61 16 15 H 0.06 1.46 5.68 -52.49 -0.30 1.16 16 16 C 0.06 1.56 5.46 -17.82 -0.10 1.46 16 17 N -0.89 -26.13 13.29 55.43 0.74 -25.39 16 18 Si 0.89 20.93 29.54 -169.99 -5.02 15.90 16 19 H -0.28 -6.42 7.11 56.52 0.40 -6.02 16 20 H -0.29 -6.81 7.11 56.52 0.40 -6.41 16 21 H -0.28 -6.42 7.11 56.52 0.40 -6.02 16 22 C 0.09 0.84 4.89 -3.79 -0.02 0.82 16 23 C 0.08 0.68 1.05 -89.80 -0.09 0.58 16 24 C -0.18 -1.59 5.77 -25.37 -0.15 -1.74 16 25 C 0.05 0.38 7.65 38.01 0.29 0.68 16 26 O -0.37 -3.71 11.65 -35.23 -0.41 -4.13 16 27 C 0.06 0.49 6.93 37.64 0.26 0.75 16 28 O -0.36 -3.52 9.84 -35.23 -0.35 -3.87 16 29 H 0.08 0.43 8.14 -51.92 -0.42 0.01 16 30 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 31 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 32 H 0.10 1.20 7.06 -51.93 -0.37 0.83 16 33 H 0.07 0.67 8.14 -51.93 -0.42 0.25 16 34 H 0.39 4.76 3.74 -40.82 -0.15 4.60 16 35 H 0.06 1.19 8.14 -51.93 -0.42 0.77 16 36 H 0.06 1.17 8.14 -51.93 -0.42 0.74 16 37 H 0.03 0.36 6.86 -51.93 -0.36 0.00 16 38 H 0.07 1.24 6.62 -51.93 -0.34 0.90 16 39 H 0.05 0.85 8.14 -51.93 -0.42 0.43 16 40 H 0.05 0.85 8.14 -51.93 -0.42 0.42 16 41 H 0.07 1.24 6.62 -51.93 -0.34 0.89 16 42 H 0.02 0.34 6.86 -51.93 -0.36 -0.02 16 43 H 0.02 0.49 8.14 -51.93 -0.42 0.07 16 44 H 0.02 0.49 8.14 -51.93 -0.42 0.07 16 45 H 0.26 7.27 8.31 -40.82 -0.34 6.93 16 46 H 0.09 0.72 5.73 -51.93 -0.30 0.43 16 47 H 0.08 0.63 8.14 -51.93 -0.42 0.21 16 48 H 0.09 0.81 6.63 -51.93 -0.34 0.46 16 49 H 0.08 0.82 7.67 -51.93 -0.40 0.42 16 50 H 0.09 0.69 8.14 -51.93 -0.42 0.27 16 51 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 52 H 0.08 0.48 7.84 -51.92 -0.41 0.08 16 53 H 0.11 0.79 8.08 -51.93 -0.42 0.37 16 LS Contribution 400.83 15.07 6.04 6.04 Total: -1.00 -32.01 400.83 -8.96 -40.97 By element: Atomic # 1 Polarization: 11.32 SS G_CDS: -9.05 Total: 2.27 kcal Atomic # 6 Polarization: -1.67 SS G_CDS: -0.16 Total: -1.82 kcal Atomic # 7 Polarization: -44.09 SS G_CDS: -0.10 Total: -44.18 kcal Atomic # 8 Polarization: -18.50 SS G_CDS: -0.67 Total: -19.17 kcal Atomic # 14 Polarization: 20.93 SS G_CDS: -5.02 Total: 15.90 kcal Total LS contribution 6.04 Total: 6.04 kcal Total: -32.01 -8.96 -40.97 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. ZINC000377036247.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 -78.279 kcal (2) G-P(sol) polarization free energy of solvation -32.008 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -110.287 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.961 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.969 kcal (6) G-S(sol) free energy of system = (1) + (5) -119.248 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.93 seconds