Wall clock time and date at job start Sat Apr 11 2020 06:11:19 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 1.42902 * 1 3 3 C 1.42898 * 114.00186 * 2 1 4 4 C 1.52997 * 109.47319 * 180.02562 * 3 2 1 5 5 O 1.42904 * 109.47396 * 64.99884 * 4 3 2 6 6 C 1.42896 * 114.00313 * 180.02562 * 5 4 3 7 7 N 1.46496 * 109.47008 * 80.00172 * 6 5 4 8 8 C 1.46881 * 124.36827 * 105.00161 * 7 6 5 9 9 C 1.54712 * 105.52100 * 196.77997 * 8 7 6 10 10 C 1.53609 * 101.50738 * 335.48386 * 9 8 7 11 11 C 1.53253 * 111.08686 * 144.98951 * 10 9 8 12 12 C 1.54647 * 104.67059 * 120.48387 * 11 10 9 13 13 N 1.48645 * 104.63996 * 23.67808 * 12 11 10 14 14 C 1.46900 * 111.00387 * 201.49429 * 13 12 11 15 15 C 1.52999 * 109.46752 * 290.12442 * 14 13 12 16 16 C 1.53005 * 109.46729 * 179.97438 * 15 14 13 17 17 C 1.50705 * 109.46867 * 180.02562 * 16 15 14 18 18 H 1.07997 * 119.99810 * 0.02562 * 17 16 15 19 19 C 1.37876 * 119.99787 * 180.02562 * 17 16 15 20 20 N 1.31516 * 119.99801 * 0.02562 * 19 17 16 21 21 Si 1.86803 * 120.00000 * 180.02562 * 19 17 16 22 22 H 1.48503 * 109.46994 * 59.99827 * 21 19 17 23 23 H 1.48496 * 109.47091 * 179.97438 * 21 19 17 24 24 H 1.48500 * 109.47132 * 300.00134 * 21 19 17 25 25 C 1.48804 * 104.38090 * 321.14564 * 13 12 11 26 26 C 1.34746 * 124.37546 * 284.69999 * 7 6 5 27 27 O 1.21288 * 125.13298 * 359.02319 * 26 7 6 28 28 H 1.08999 * 109.46857 * 59.99535 * 1 2 3 29 29 H 1.08998 * 109.46946 * 179.97438 * 1 2 3 30 30 H 1.09001 * 109.46918 * 299.99649 * 1 2 3 31 31 H 1.09002 * 109.47259 * 300.00293 * 3 2 1 32 32 H 1.09001 * 109.47074 * 60.00315 * 3 2 1 33 33 H 1.09001 * 109.47630 * 185.00204 * 4 3 2 34 34 H 1.09004 * 109.47346 * 305.00335 * 4 3 2 35 35 H 1.09002 * 109.46988 * 200.00289 * 6 5 4 36 36 H 1.09004 * 109.47127 * 319.99959 * 6 5 4 37 37 H 1.08999 * 110.24067 * 315.79345 * 8 7 6 38 38 H 1.08999 * 110.24268 * 77.68573 * 8 7 6 39 39 H 1.08999 * 111.01829 * 93.53267 * 9 8 7 40 40 H 1.08999 * 111.02204 * 217.42410 * 9 8 7 41 41 H 1.09003 * 110.39668 * 239.27668 * 11 10 9 42 42 H 1.08996 * 110.39929 * 1.68794 * 11 10 9 43 43 H 1.08996 * 110.40274 * 142.47105 * 12 11 10 44 44 H 1.09005 * 110.40151 * 264.88806 * 12 11 10 45 45 H 1.08997 * 109.46893 * 50.12417 * 14 13 12 46 46 H 1.08992 * 109.46961 * 170.12547 * 14 13 12 47 47 H 1.08993 * 109.47462 * 300.00169 * 15 14 13 48 48 H 1.09001 * 109.47114 * 60.00265 * 15 14 13 49 49 H 1.08997 * 109.47232 * 300.00169 * 16 15 14 50 50 H 1.09001 * 109.46779 * 60.00461 * 16 15 14 51 51 H 0.97004 * 119.99396 * 179.97438 * 20 19 17 52 52 H 1.09003 * 110.45485 * 279.82475 * 25 13 12 53 53 H 1.09000 * 110.45818 * 157.26512 * 25 13 12 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 2.0103 1.3054 0.0000 4 6 3.5355 1.1846 -0.0006 5 8 3.9649 0.5796 -1.2220 6 6 5.3811 0.4191 -1.3246 7 7 5.7943 -0.7657 -0.5685 8 6 6.1826 -2.0445 -1.1779 9 6 6.1125 -3.0856 -0.0357 10 6 6.3033 -2.1960 1.2020 11 6 5.4760 -2.7118 2.3845 12 6 6.5158 -3.0074 3.4905 13 7 7.6794 -2.1468 3.1519 14 6 8.9098 -2.6573 3.7712 15 6 8.8410 -2.4530 5.2859 16 6 10.1222 -2.9853 5.9310 17 6 10.0542 -2.7846 7.4230 18 1 9.1841 -2.3239 7.8668 19 6 11.1029 -3.1892 8.2215 20 7 12.1627 -3.7498 7.6810 21 14 11.0184 -2.9411 10.0711 22 1 9.8483 -3.6755 10.6160 23 1 12.2619 -3.4576 10.6971 24 1 10.8773 -1.4934 10.3704 25 6 7.7646 -2.2076 1.6675 26 6 5.8728 -0.8213 0.7755 27 8 5.6302 0.0989 1.5275 28 1 -0.3633 0.5139 -0.8899 29 1 -0.3633 -1.0277 -0.0005 30 1 -0.3633 0.5138 0.8900 31 1 1.6886 1.8464 -0.8900 32 1 1.6887 1.8463 0.8900 33 1 3.9786 2.1764 0.0890 34 1 3.8515 0.5681 0.8409 35 1 5.6580 0.2966 -2.3718 36 1 5.8771 1.3006 -0.9184 37 1 5.4863 -2.3100 -1.9733 38 1 7.1973 -1.9822 -1.5711 39 1 5.1410 -3.5795 -0.0160 40 1 6.9183 -3.8147 -0.1211 41 1 4.7732 -1.9483 2.7182 42 1 4.9457 -3.6231 2.1084 43 1 6.1166 -2.7393 4.4687 44 1 6.8024 -4.0589 3.4712 45 1 9.0128 -3.7201 3.5522 46 1 9.7686 -2.1189 3.3705 47 1 8.7380 -1.3902 5.5049 48 1 7.9821 -2.9914 5.6865 49 1 10.2248 -4.0481 5.7120 50 1 10.9813 -2.4472 5.5304 51 1 12.9006 -4.0341 8.2427 52 1 8.2579 -3.1269 1.3516 53 1 8.2947 -1.3374 1.2804 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 ZINC001274042611.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 06:11:19 Heat of formation + Delta-G solvation = -117.098495 kcal Electronic energy + Delta-G solvation = -30654.714528 eV Core-core repulsion = 26526.674498 eV Total energy + Delta-G solvation = -4128.040030 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.65 seconds Orbital eigenvalues (eV) -41.34360 -38.88127 -38.05183 -37.17612 -36.44198 -34.30978 -32.77580 -31.29437 -30.38942 -29.66322 -28.27608 -26.77110 -26.41927 -25.84529 -23.77111 -22.94425 -22.76823 -21.32601 -21.10743 -19.82316 -19.05852 -17.65797 -17.22291 -16.73854 -16.50189 -16.18849 -16.01719 -15.75423 -15.39432 -15.12399 -14.73316 -14.45322 -14.40027 -14.34384 -14.07221 -13.90767 -13.44069 -13.01022 -12.97333 -12.70541 -12.54915 -12.54874 -12.16080 -12.01587 -11.82686 -11.67423 -11.62533 -11.47371 -11.39708 -11.06405 -10.98476 -10.80682 -10.68665 -10.48978 -10.43095 -10.20351 -9.97302 -9.69642 -9.57207 -9.27009 -9.09476 -9.01526 -8.29356 -8.16707 -5.94928 -3.96516 2.37424 2.73653 3.37526 3.41083 3.43159 3.44489 3.49180 3.94861 4.12589 4.30493 4.39500 4.51892 4.66072 4.72940 4.79037 4.83802 4.89377 4.93660 5.02643 5.03842 5.05159 5.18671 5.23759 5.24719 5.27654 5.37018 5.40764 5.43906 5.48992 5.60507 5.61967 5.68788 5.72088 5.74300 5.82943 5.97661 6.08128 6.18042 6.25819 6.36103 6.73212 6.73677 6.80545 6.84215 6.88007 7.06918 7.25848 7.40562 7.73882 7.89241 8.03015 8.05882 8.49764 9.10410 9.67055 11.16503 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017116 B = 0.002057 C = 0.001950 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1635.464116 B =13607.936645 C =14358.103235 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.031 3.969 2 O -0.383 6.383 3 C 0.064 3.936 4 C 0.048 3.952 5 O -0.387 6.387 6 C 0.290 3.710 7 N -0.637 5.637 8 C 0.105 3.895 9 C -0.124 4.124 10 C -0.099 4.099 11 C -0.102 4.102 12 C 0.037 3.963 13 N -0.505 5.505 14 C 0.046 3.954 15 C -0.103 4.103 16 C 0.022 3.978 17 C -0.517 4.517 18 H 0.054 0.946 19 C 0.055 3.945 20 N -0.897 5.897 21 Si 0.892 3.108 22 H -0.277 1.277 23 H -0.288 1.288 24 H -0.277 1.277 25 C 0.058 3.942 26 C 0.540 3.460 27 O -0.506 6.506 28 H 0.039 0.961 29 H 0.085 0.915 30 H 0.040 0.960 31 H 0.054 0.946 32 H 0.064 0.936 33 H 0.065 0.935 34 H 0.086 0.914 35 H 0.115 0.885 36 H 0.071 0.929 37 H 0.080 0.920 38 H 0.073 0.927 39 H 0.086 0.914 40 H 0.093 0.907 41 H 0.079 0.921 42 H 0.075 0.925 43 H 0.086 0.914 44 H 0.046 0.954 45 H 0.031 0.969 46 H 0.069 0.931 47 H 0.056 0.944 48 H 0.046 0.954 49 H 0.013 0.987 50 H 0.015 0.985 51 H 0.260 0.740 52 H 0.055 0.945 53 H 0.078 0.922 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -19.489 5.123 -24.641 31.831 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 -0.066 4.066 2 O -0.301 6.301 3 C -0.012 4.012 4 C -0.028 4.028 5 O -0.301 6.301 6 C 0.130 3.870 7 N -0.381 5.381 8 C -0.018 4.018 9 C -0.162 4.162 10 C -0.103 4.103 11 C -0.141 4.141 12 C -0.091 4.091 13 N -0.229 5.229 14 C -0.081 4.081 15 C -0.141 4.141 16 C -0.015 4.015 17 C -0.555 4.555 18 H 0.073 0.927 19 C -0.146 4.146 20 N -0.537 5.537 21 Si 0.720 3.280 22 H -0.203 1.203 23 H -0.214 1.214 24 H -0.202 1.202 25 C -0.071 4.071 26 C 0.328 3.672 27 O -0.380 6.380 28 H 0.058 0.942 29 H 0.104 0.896 30 H 0.059 0.941 31 H 0.072 0.928 32 H 0.082 0.918 33 H 0.083 0.917 34 H 0.104 0.896 35 H 0.133 0.867 36 H 0.089 0.911 37 H 0.098 0.902 38 H 0.091 0.909 39 H 0.105 0.895 40 H 0.111 0.889 41 H 0.098 0.902 42 H 0.094 0.906 43 H 0.104 0.896 44 H 0.064 0.936 45 H 0.050 0.950 46 H 0.088 0.912 47 H 0.074 0.926 48 H 0.065 0.935 49 H 0.031 0.969 50 H 0.034 0.966 51 H 0.070 0.930 52 H 0.073 0.927 53 H 0.096 0.904 Dipole moment (debyes) X Y Z Total from point charges -19.593 5.997 -24.199 31.709 hybrid contribution 0.211 -0.421 0.824 0.949 sum -19.382 5.576 -23.375 30.873 Atomic orbital electron populations 1.22739 0.81249 1.02791 0.99779 1.87977 1.19423 1.27398 1.95340 1.22583 0.92723 0.85369 1.00562 1.22980 0.92834 0.98429 0.88514 1.88003 1.22685 1.81169 1.38291 1.22443 0.81147 0.86721 0.96663 1.49275 1.67369 1.14173 1.07324 1.22133 1.00629 0.82545 0.96506 1.22748 1.04045 0.96916 0.92446 1.21423 0.98241 0.93838 0.96777 1.22227 0.97618 1.01119 0.93105 1.23154 0.91330 0.95397 0.99255 1.65537 1.04303 1.48760 1.04287 1.22463 0.90881 0.97125 0.97655 1.21597 1.00585 1.01136 0.90765 1.19074 0.91490 0.95986 0.94992 1.21225 1.02784 1.39259 0.92277 0.92724 1.25031 0.95510 0.95354 0.98680 1.69962 1.06904 1.41452 1.35376 0.86654 0.77197 0.78535 0.85592 1.20282 1.21355 1.20228 1.22865 0.92494 1.01252 0.90488 1.20378 0.75331 0.89712 0.81816 1.90676 1.48669 1.41948 1.56723 0.94201 0.89631 0.94142 0.92818 0.91841 0.91710 0.89588 0.86688 0.91116 0.90182 0.90877 0.89538 0.88883 0.90216 0.90624 0.89585 0.93587 0.95028 0.91235 0.92559 0.93515 0.96869 0.96648 0.93048 0.92696 0.90400 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 0.03 0.23 11.01 101.05 1.11 1.35 16 2 O -0.38 -4.36 10.67 -40.08 -0.43 -4.79 16 3 C 0.06 0.62 6.32 37.16 0.23 0.85 16 4 C 0.05 0.53 5.76 37.16 0.21 0.75 16 5 O -0.39 -4.26 10.54 -40.08 -0.42 -4.68 16 6 C 0.29 2.54 7.05 59.84 0.42 2.96 16 7 N -0.64 -6.34 3.21 -178.08 -0.57 -6.91 16 8 C 0.10 0.72 7.34 -2.93 -0.02 0.70 16 9 C -0.12 -0.94 6.20 -25.51 -0.16 -1.09 16 10 C -0.10 -1.12 0.83 -155.24 -0.13 -1.25 16 11 C -0.10 -1.23 6.28 -25.73 -0.16 -1.40 16 12 C 0.04 0.52 5.76 -1.99 -0.01 0.51 16 13 N -0.51 -8.13 5.37 -230.16 -1.24 -9.37 16 14 C 0.05 0.83 4.81 -3.82 -0.02 0.81 16 15 C -0.10 -2.24 5.21 -26.73 -0.14 -2.37 16 16 C 0.02 0.59 4.97 -27.88 -0.14 0.45 16 17 C -0.52 -15.08 9.11 -34.44 -0.31 -15.39 16 18 H 0.05 1.56 7.74 -52.49 -0.41 1.15 16 19 C 0.05 1.62 5.46 -17.82 -0.10 1.52 16 20 N -0.90 -27.44 13.29 55.43 0.74 -26.70 16 21 Si 0.89 22.18 29.54 -169.99 -5.02 17.15 16 22 H -0.28 -6.75 7.11 56.52 0.40 -6.35 16 23 H -0.29 -7.05 7.11 56.52 0.40 -6.64 16 24 H -0.28 -6.77 7.11 56.52 0.40 -6.37 16 25 C 0.06 0.74 5.66 -2.57 -0.01 0.72 16 26 C 0.54 7.01 5.99 -11.22 -0.07 6.94 16 27 O -0.51 -8.29 14.52 5.55 0.08 -8.21 16 28 H 0.04 0.25 8.14 -51.93 -0.42 -0.17 16 29 H 0.09 0.55 8.14 -51.93 -0.42 0.13 16 30 H 0.04 0.26 8.14 -51.93 -0.42 -0.16 16 31 H 0.05 0.44 8.14 -51.93 -0.42 0.02 16 32 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 33 H 0.06 0.62 8.09 -51.93 -0.42 0.20 16 34 H 0.09 1.19 4.84 -51.93 -0.25 0.94 16 35 H 0.12 0.65 8.10 -51.93 -0.42 0.22 16 36 H 0.07 0.62 7.93 -51.93 -0.41 0.21 16 37 H 0.08 0.45 8.14 -51.93 -0.42 0.03 16 38 H 0.07 0.39 8.14 -51.93 -0.42 -0.03 16 39 H 0.09 0.61 7.60 -51.93 -0.39 0.22 16 40 H 0.09 0.57 7.46 -51.93 -0.39 0.19 16 41 H 0.08 1.09 7.48 -51.93 -0.39 0.70 16 42 H 0.08 0.74 7.43 -51.93 -0.39 0.35 16 43 H 0.09 1.31 7.79 -51.93 -0.40 0.90 16 44 H 0.05 0.63 7.81 -51.93 -0.41 0.22 16 45 H 0.03 0.55 7.88 -51.93 -0.41 0.14 16 46 H 0.07 1.25 8.13 -51.93 -0.42 0.83 16 47 H 0.06 1.27 8.14 -51.93 -0.42 0.85 16 48 H 0.05 1.00 7.27 -51.93 -0.38 0.62 16 49 H 0.01 0.36 8.14 -51.93 -0.42 -0.06 16 50 H 0.02 0.43 8.14 -51.93 -0.42 0.00 16 51 H 0.26 7.50 8.31 -40.82 -0.34 7.17 16 52 H 0.05 0.62 7.32 -51.93 -0.38 0.24 16 53 H 0.08 1.03 7.84 -51.93 -0.41 0.63 16 LS Contribution 416.64 15.07 6.28 6.28 Total: -1.00 -35.39 416.64 -9.51 -44.90 By element: Atomic # 1 Polarization: 5.90 SS G_CDS: -9.64 Total: -3.74 kcal Atomic # 6 Polarization: -4.65 SS G_CDS: 0.71 Total: -3.94 kcal Atomic # 7 Polarization: -41.91 SS G_CDS: -1.07 Total: -42.98 kcal Atomic # 8 Polarization: -16.91 SS G_CDS: -0.77 Total: -17.68 kcal Atomic # 14 Polarization: 22.18 SS G_CDS: -5.02 Total: 17.15 kcal Total LS contribution 6.28 Total: 6.28 kcal Total: -35.39 -9.51 -44.90 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. ZINC001274042611.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 -72.199 kcal (2) G-P(sol) polarization free energy of solvation -35.393 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -107.592 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.506 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.899 kcal (6) G-S(sol) free energy of system = (1) + (5) -117.098 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.65 seconds