Wall clock time and date at job start Sat Apr 11 2020 06:10:44 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 1.52996 * 1 3 3 C 1.52995 * 109.47443 * 2 1 4 4 H 1.08999 * 109.86892 * 54.55761 * 3 2 1 5 5 C 1.54101 * 109.87974 * 175.71198 * 3 2 1 6 6 C 1.54993 * 104.25033 * 121.59101 * 5 3 2 7 7 C 1.54991 * 102.01130 * 20.66854 * 6 5 3 8 8 H 1.09005 * 110.62115 * 81.75121 * 7 6 5 9 9 C 1.50697 * 110.62181 * 204.59248 * 7 6 5 10 10 O 1.21282 * 120.00161 * 106.91235 * 9 7 6 11 11 N 1.34775 * 120.00122 * 286.92166 * 9 7 6 12 12 C 1.46932 * 120.63195 * 5.36913 * 11 9 7 13 13 C 1.53187 * 108.77648 * 233.59320 * 12 11 9 14 14 C 1.53040 * 109.31147 * 305.36031 * 13 12 11 15 15 N 1.46505 * 109.46006 * 181.38440 * 14 13 12 16 16 C 1.36939 * 120.00270 * 300.00776 * 15 14 13 17 17 H 1.07997 * 119.99538 * 322.85512 * 16 15 14 18 18 C 1.38807 * 119.99913 * 142.85889 * 16 15 14 19 19 N 1.31619 * 120.00318 * 339.34921 * 18 16 15 20 20 Si 1.86802 * 119.99751 * 159.34773 * 18 16 15 21 21 H 1.48499 * 109.46950 * 60.00161 * 20 18 16 22 22 H 1.48499 * 109.47184 * 179.97438 * 20 18 16 23 23 H 1.48503 * 109.47066 * 300.00053 * 20 18 16 24 24 C 1.46503 * 119.99698 * 120.00125 * 15 14 13 25 25 C 1.53005 * 109.46764 * 82.75474 * 24 15 14 26 26 O 1.42899 * 109.47011 * 294.99679 * 25 24 15 27 27 C 1.53050 * 109.53729 * 61.37105 * 14 13 12 28 28 C 1.46927 * 120.63339 * 185.35347 * 11 9 7 29 29 O 1.43747 * 109.88188 * 293.54649 * 3 2 1 30 30 H 1.08999 * 109.46849 * 300.00212 * 1 2 3 31 31 H 1.09001 * 109.47086 * 59.99813 * 1 2 3 32 32 H 1.08996 * 109.47371 * 179.97438 * 1 2 3 33 33 H 1.09000 * 109.47349 * 239.99933 * 2 1 3 34 34 H 1.09001 * 109.47086 * 120.00187 * 2 1 3 35 35 H 1.09003 * 110.48970 * 240.13001 * 5 3 2 36 36 H 1.09002 * 110.48626 * 2.65270 * 5 3 2 37 37 H 1.08998 * 110.84384 * 262.54067 * 6 5 3 38 38 H 1.08997 * 111.04543 * 138.88510 * 6 5 3 39 39 H 1.08998 * 109.58268 * 113.80010 * 12 11 9 40 40 H 1.08997 * 109.69811 * 353.45303 * 12 11 9 41 41 H 1.09001 * 109.49376 * 185.41260 * 13 12 11 42 42 H 1.08996 * 109.52624 * 65.33351 * 13 12 11 43 43 H 1.08996 * 109.46494 * 301.36031 * 14 13 12 44 44 H 0.96993 * 120.00254 * 179.97438 * 19 18 16 45 45 H 1.09002 * 109.47393 * 322.75886 * 24 15 14 46 46 H 1.08997 * 109.46898 * 202.75353 * 24 15 14 47 47 H 1.08996 * 109.47202 * 55.00436 * 25 24 15 48 48 H 1.09005 * 109.46644 * 174.99971 * 25 24 15 49 49 H 0.96706 * 113.99253 * 180.02562 * 26 25 24 50 50 H 1.08994 * 109.49569 * 58.58054 * 27 14 13 51 51 H 1.08993 * 109.49596 * 178.68317 * 27 14 13 52 52 H 1.08996 * 109.58639 * 246.19827 * 28 11 9 53 53 H 1.09001 * 109.58445 * 6.62071 * 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 2.0400 1.4424 0.0000 4 1 1.6031 1.9899 0.8352 5 6 3.5772 1.4547 0.1084 6 6 4.0431 2.2125 -1.1609 7 6 2.7660 2.9973 -1.5550 8 1 2.6787 3.9097 -0.9649 9 6 2.7734 3.3182 -3.0273 10 8 2.0338 2.7224 -3.7816 11 7 3.6021 4.2671 -3.5061 12 6 4.5858 4.9146 -2.6275 13 6 4.4063 6.4331 -2.7209 14 6 4.4935 6.8637 -4.1868 15 7 4.3552 8.3195 -4.2769 16 6 3.2172 8.9288 -3.8200 17 1 2.2579 8.4512 -3.9544 18 6 3.2966 10.1601 -3.1842 19 7 4.4358 10.5566 -2.6576 20 14 1.7866 11.2545 -3.0759 21 1 0.7098 10.5411 -2.3431 22 1 2.1321 12.5047 -2.3530 23 1 1.3172 11.5872 -4.4450 24 6 5.4346 9.1233 -4.8558 25 6 5.3145 9.1155 -6.3811 26 8 5.5275 7.7894 -6.8689 27 6 3.3715 6.1948 -4.9844 28 6 3.5394 4.6736 -4.9166 29 8 1.6939 2.0833 -1.2392 30 1 -0.3633 0.5139 0.8900 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3634 -1.0276 -0.0005 33 1 1.8933 -0.5138 -0.8900 34 1 1.8933 -0.5139 0.8900 35 1 3.8922 1.9881 1.0052 36 1 3.9673 0.4369 0.1140 37 1 4.3283 1.5135 -1.9471 38 1 4.8628 2.8933 -0.9314 39 1 5.5930 4.6454 -2.9457 40 1 4.4289 4.5907 -1.5986 41 1 5.1912 6.9280 -2.1490 42 1 3.4324 6.7103 -2.3175 43 1 5.4582 6.5646 -4.5965 44 1 4.4914 11.4172 -2.2136 45 1 6.3971 8.7025 -4.5650 46 1 5.3606 10.1477 -4.4907 47 1 4.3189 9.4531 -6.6689 48 1 6.0623 9.7841 -6.8078 49 1 5.4664 7.7096 -7.8307 50 1 2.4072 6.4737 -4.5599 51 1 3.4200 6.5202 -6.0235 52 1 4.4612 4.3848 -5.4215 53 1 2.6895 4.1904 -5.3986 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 ZINC001098383761.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 06:10:44 Heat of formation + Delta-G solvation = -114.751954 kcal Electronic energy + Delta-G solvation = -31864.781542 eV Core-core repulsion = 27736.843265 eV Total energy + Delta-G solvation = -4127.938277 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.17 seconds Orbital eigenvalues (eV) -40.51078 -38.96809 -37.39609 -36.18640 -34.68251 -33.77860 -32.56611 -31.85800 -30.72849 -30.34816 -28.65193 -27.58134 -25.20173 -24.26598 -23.09610 -22.55097 -22.09044 -21.05939 -20.66613 -19.91590 -18.77367 -17.38726 -16.73966 -16.56156 -16.18365 -16.07240 -15.56263 -14.98572 -14.71213 -14.48494 -14.30921 -13.78776 -13.70152 -13.67498 -13.55689 -13.49979 -13.19253 -13.04739 -12.94969 -12.51739 -12.18570 -11.99676 -11.92451 -11.76059 -11.62307 -11.41148 -11.22270 -11.15536 -10.98774 -10.94400 -10.76971 -10.73199 -10.65313 -10.45422 -10.22334 -9.92764 -9.89978 -9.83894 -9.46075 -9.29894 -9.15260 -8.49342 -8.30856 -6.56803 -5.83840 -3.37349 2.72087 3.02146 3.34249 3.40080 3.43175 3.87578 4.27416 4.41469 4.45183 4.63925 4.69587 4.94429 4.98184 5.07403 5.10224 5.14457 5.20008 5.22559 5.34651 5.36221 5.48966 5.53057 5.59788 5.61376 5.62655 5.73531 5.78264 5.81643 5.85599 5.91901 6.01422 6.03076 6.16819 6.17236 6.19234 6.24342 6.39248 6.48938 6.51854 6.64195 6.74813 6.81305 6.94545 7.03903 7.22345 7.28184 7.52903 7.66072 7.81049 8.28929 8.39506 8.49923 9.18273 9.80958 10.41077 11.18436 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013839 B = 0.003025 C = 0.002749 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2022.796771 B = 9253.159281 C =10182.912317 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C -0.120 4.120 3 C 0.072 3.928 4 H 0.070 0.930 5 C -0.150 4.150 6 C -0.144 4.144 7 C 0.060 3.940 8 H 0.096 0.904 9 C 0.521 3.479 10 O -0.533 6.533 11 N -0.600 5.600 12 C 0.103 3.897 13 C -0.139 4.139 14 C 0.188 3.812 15 N -0.574 5.574 16 C -0.252 4.252 17 H 0.059 0.941 18 C 0.011 3.989 19 N -0.892 5.892 20 Si 0.893 3.107 21 H -0.282 1.282 22 H -0.291 1.291 23 H -0.284 1.284 24 C 0.154 3.846 25 C 0.053 3.947 26 O -0.568 6.568 27 C -0.135 4.135 28 C 0.117 3.883 29 O -0.342 6.342 30 H 0.052 0.948 31 H 0.064 0.936 32 H 0.052 0.948 33 H 0.070 0.930 34 H 0.072 0.928 35 H 0.079 0.921 36 H 0.081 0.919 37 H 0.081 0.919 38 H 0.091 0.909 39 H 0.066 0.934 40 H 0.074 0.926 41 H 0.071 0.929 42 H 0.069 0.931 43 H 0.055 0.945 44 H 0.255 0.745 45 H 0.027 0.973 46 H 0.105 0.895 47 H 0.039 0.961 48 H 0.022 0.978 49 H 0.356 0.644 50 H 0.061 0.939 51 H 0.073 0.927 52 H 0.062 0.938 53 H 0.081 0.919 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.466 -14.981 3.294 15.536 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 -0.158 4.158 3 C 0.014 3.986 4 H 0.088 0.912 5 C -0.188 4.188 6 C -0.182 4.182 7 C -0.001 4.001 8 H 0.113 0.887 9 C 0.308 3.692 10 O -0.409 6.409 11 N -0.335 5.335 12 C -0.020 4.020 13 C -0.179 4.179 14 C 0.081 3.919 15 N -0.293 5.293 16 C -0.382 4.382 17 H 0.077 0.923 18 C -0.189 4.189 19 N -0.535 5.535 20 Si 0.723 3.277 21 H -0.208 1.208 22 H -0.217 1.217 23 H -0.210 1.210 24 C 0.027 3.973 25 C -0.027 4.027 26 O -0.371 6.371 27 C -0.175 4.175 28 C -0.005 4.005 29 O -0.260 6.260 30 H 0.071 0.929 31 H 0.083 0.917 32 H 0.071 0.929 33 H 0.088 0.912 34 H 0.090 0.910 35 H 0.098 0.902 36 H 0.100 0.900 37 H 0.100 0.900 38 H 0.110 0.890 39 H 0.084 0.916 40 H 0.093 0.907 41 H 0.090 0.910 42 H 0.088 0.912 43 H 0.073 0.927 44 H 0.065 0.935 45 H 0.045 0.955 46 H 0.123 0.877 47 H 0.058 0.942 48 H 0.040 0.960 49 H 0.200 0.800 50 H 0.079 0.921 51 H 0.092 0.908 52 H 0.081 0.919 53 H 0.100 0.900 Dipole moment (debyes) X Y Z Total from point charges 1.994 -15.281 3.531 15.810 hybrid contribution -0.644 1.106 -0.306 1.316 sum 1.351 -14.175 3.224 14.600 Atomic orbital electron populations 1.21726 0.95247 1.01400 1.02495 1.21700 0.96983 0.94684 1.02402 1.22872 0.93968 0.94267 0.87526 0.91163 1.23044 0.95467 1.01877 0.98408 1.23195 0.97157 0.99588 0.98219 1.22977 0.87999 0.94859 0.94292 0.88667 1.20050 0.80213 0.79708 0.89274 1.90677 1.40785 1.50480 1.58961 1.48069 1.36037 1.37910 1.11474 1.22012 0.91456 0.95170 0.93332 1.22369 1.03404 0.91158 1.00947 1.20204 0.95394 0.85205 0.91106 1.43721 1.17543 0.99796 1.68234 1.18951 0.86123 1.02241 1.30881 0.92326 1.25141 0.96445 1.00597 0.96715 1.69978 1.25322 1.21147 1.37019 0.86521 0.83187 0.80202 0.77793 1.20764 1.21675 1.21013 1.20988 0.89899 0.99911 0.86453 1.23227 0.97684 0.82062 0.99682 1.86583 1.95019 1.30799 1.24694 1.22291 1.01445 0.91842 1.01881 1.21678 1.01982 0.96555 0.80266 1.89019 1.41061 1.56357 1.39578 0.92928 0.91703 0.92928 0.91150 0.90957 0.90241 0.90048 0.90019 0.89030 0.91606 0.90728 0.91032 0.91182 0.92691 0.93549 0.95471 0.87744 0.94238 0.96018 0.80008 0.92071 0.90842 0.91937 0.90009 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 19. 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 -1.46 9.82 37.16 0.37 -1.09 16 2 C -0.12 -1.12 5.42 -26.74 -0.14 -1.26 16 3 C 0.07 0.75 3.42 -26.16 -0.09 0.67 16 4 H 0.07 0.69 8.14 -51.93 -0.42 0.26 16 5 C -0.15 -1.28 6.65 -25.10 -0.17 -1.44 16 6 C -0.14 -1.46 5.98 -24.63 -0.15 -1.61 16 7 C 0.06 0.81 2.75 -26.83 -0.07 0.74 16 8 H 0.10 1.22 7.44 -51.93 -0.39 0.83 16 9 C 0.52 8.79 7.08 -10.99 -0.08 8.71 16 10 O -0.53 -10.95 16.02 -13.39 -0.21 -11.17 16 11 N -0.60 -9.50 2.97 -172.77 -0.51 -10.01 16 12 C 0.10 1.46 5.87 -3.71 -0.02 1.44 16 13 C -0.14 -2.53 5.31 -26.61 -0.14 -2.67 16 14 C 0.19 3.72 1.92 -67.88 -0.13 3.59 16 15 N -0.57 -13.23 2.37 -165.60 -0.39 -13.63 16 16 C -0.25 -6.46 8.24 -15.06 -0.12 -6.58 16 17 H 0.06 1.55 6.89 -52.49 -0.36 1.19 16 18 C 0.01 0.28 4.90 -17.43 -0.09 0.19 16 19 N -0.89 -24.22 11.50 55.49 0.64 -23.58 16 20 Si 0.89 20.96 29.60 -169.99 -5.03 15.93 16 21 H -0.28 -6.64 7.11 56.52 0.40 -6.24 16 22 H -0.29 -6.87 7.11 56.52 0.40 -6.47 16 23 H -0.28 -6.66 7.11 56.52 0.40 -6.26 16 24 C 0.15 3.43 5.59 -4.04 -0.02 3.41 16 25 C 0.05 1.00 7.39 37.16 0.27 1.27 16 26 O -0.57 -9.70 12.03 -35.23 -0.42 -10.13 16 27 C -0.13 -2.50 5.30 -26.61 -0.14 -2.64 16 28 C 0.12 1.93 6.42 -3.71 -0.02 1.90 16 29 O -0.34 -5.07 10.10 -54.18 -0.55 -5.62 16 30 H 0.05 0.46 8.14 -51.93 -0.42 0.04 16 31 H 0.06 0.76 7.89 -51.93 -0.41 0.36 16 32 H 0.05 0.43 8.14 -51.93 -0.42 0.01 16 33 H 0.07 0.71 8.14 -51.93 -0.42 0.29 16 34 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 35 H 0.08 0.55 8.14 -51.93 -0.42 0.13 16 36 H 0.08 0.59 7.70 -51.93 -0.40 0.19 16 37 H 0.08 0.89 8.05 -51.93 -0.42 0.47 16 38 H 0.09 0.77 6.67 -51.93 -0.35 0.43 16 39 H 0.07 0.84 8.14 -51.93 -0.42 0.41 16 40 H 0.07 0.88 4.49 -51.93 -0.23 0.65 16 41 H 0.07 1.38 8.14 -51.93 -0.42 0.96 16 42 H 0.07 1.45 7.71 -51.93 -0.40 1.05 16 43 H 0.05 1.09 7.47 -51.93 -0.39 0.70 16 44 H 0.25 6.76 8.31 -40.82 -0.34 6.42 16 45 H 0.03 0.60 8.07 -51.93 -0.42 0.18 16 46 H 0.11 2.60 5.57 -51.93 -0.29 2.32 16 47 H 0.04 0.78 8.14 -51.93 -0.42 0.36 16 48 H 0.02 0.36 8.14 -51.93 -0.42 -0.06 16 49 H 0.36 4.40 9.12 45.56 0.42 4.82 16 50 H 0.06 1.28 7.05 -51.93 -0.37 0.91 16 51 H 0.07 1.39 7.64 -51.93 -0.40 0.99 16 52 H 0.06 0.94 8.14 -51.93 -0.42 0.52 16 53 H 0.08 1.41 7.04 -51.93 -0.37 1.05 16 LS Contribution 404.62 15.07 6.10 6.10 Total: -1.00 -31.19 404.62 -9.69 -40.88 By element: Atomic # 1 Polarization: 15.16 SS G_CDS: -8.55 Total: 6.61 kcal Atomic # 6 Polarization: 5.37 SS G_CDS: -0.75 Total: 4.61 kcal Atomic # 7 Polarization: -46.95 SS G_CDS: -0.27 Total: -47.22 kcal Atomic # 8 Polarization: -25.73 SS G_CDS: -1.19 Total: -26.91 kcal Atomic # 14 Polarization: 20.96 SS G_CDS: -5.03 Total: 15.93 kcal Total LS contribution 6.10 Total: 6.10 kcal Total: -31.19 -9.69 -40.88 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. ZINC001098383761.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 -73.872 kcal (2) G-P(sol) polarization free energy of solvation -31.192 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -105.065 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.687 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.880 kcal (6) G-S(sol) free energy of system = (1) + (5) -114.752 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.17 seconds