Wall clock time and date at job start Tue Mar 31 2020 21:00:29 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 1.53001 * 1 3 3 C 1.52997 * 109.46923 * 2 1 4 4 C 1.52998 * 109.47141 * 119.99841 * 2 1 3 5 5 H 1.09003 * 112.80910 * 64.74390 * 4 2 1 6 6 N 1.45834 * 113.51050 * 293.84023 * 4 2 1 7 7 C 1.46498 * 133.18130 * 65.27170 * 6 4 2 8 8 N 1.46904 * 109.47004 * 97.26316 * 7 6 4 9 9 C 1.46848 * 110.99482 * 85.07121 * 8 7 6 10 10 C 1.53041 * 109.52291 * 174.16297 * 9 8 7 11 11 C 1.53123 * 109.27734 * 59.17854 * 10 9 8 12 12 C 1.53116 * 109.16258 * 302.34682 * 11 10 9 13 13 H 1.09007 * 109.50373 * 297.71507 * 12 11 10 14 14 C 1.50697 * 109.50692 * 177.59484 * 12 11 10 15 15 H 1.08003 * 119.99843 * 275.26264 * 14 12 11 16 16 C 1.37875 * 120.00065 * 95.25412 * 14 12 11 17 17 N 1.31516 * 120.00210 * 183.97839 * 16 14 12 18 18 Si 1.86801 * 119.99872 * 3.98033 * 16 14 12 19 19 H 1.48510 * 109.46945 * 85.95324 * 18 16 14 20 20 H 1.48498 * 109.47413 * 205.95005 * 18 16 14 21 21 H 1.48493 * 109.47435 * 325.95554 * 18 16 14 22 22 C 1.46850 * 110.99807 * 320.86474 * 8 7 6 23 23 C 1.33975 * 93.64495 * 245.02486 * 6 4 2 24 24 O 1.21281 * 133.35975 * 180.25695 * 23 6 4 25 25 C 1.49464 * 93.27693 * 0.25395 * 23 6 4 26 26 C 1.53635 * 115.49736 * 243.97563 * 25 23 6 27 27 C 1.54940 * 103.95099 * 230.38920 * 26 25 23 28 28 C 1.55034 * 102.11660 * 20.86082 * 27 26 25 29 29 O 1.43204 * 115.82622 * 116.43682 * 25 23 6 30 30 H 1.09004 * 109.47348 * 65.99423 * 1 2 3 31 31 H 1.08998 * 109.47095 * 185.99246 * 1 2 3 32 32 H 1.08997 * 109.47713 * 305.99674 * 1 2 3 33 33 H 1.08994 * 109.46920 * 240.00189 * 2 1 3 34 34 H 1.09001 * 109.47076 * 196.54571 * 3 2 1 35 35 H 1.09000 * 109.47618 * 316.54415 * 3 2 1 36 36 H 1.09003 * 109.47359 * 76.54396 * 3 2 1 37 37 H 1.09008 * 109.47132 * 337.27355 * 7 6 4 38 38 H 1.08993 * 109.47924 * 217.27098 * 7 6 4 39 39 H 1.09001 * 109.46697 * 54.14974 * 9 8 7 40 40 H 1.08999 * 109.45561 * 294.17391 * 9 8 7 41 41 H 1.08992 * 109.50656 * 179.12125 * 10 9 8 42 42 H 1.09005 * 109.50174 * 299.24253 * 10 9 8 43 43 H 1.08997 * 109.52049 * 62.25514 * 11 10 9 44 44 H 1.08996 * 109.51881 * 182.44069 * 11 10 9 45 45 H 0.97003 * 119.99996 * 180.02562 * 17 16 14 46 46 H 1.08997 * 109.46170 * 305.84967 * 22 8 7 47 47 H 1.09004 * 109.46309 * 65.83502 * 22 8 7 48 48 H 1.08998 * 110.52871 * 349.00407 * 26 25 23 49 49 H 1.08995 * 110.53353 * 111.62962 * 26 25 23 50 50 H 1.08998 * 110.87504 * 139.01418 * 27 26 25 51 51 H 1.09000 * 110.87416 * 262.49505 * 27 26 25 52 52 H 1.08995 * 110.60216 * 81.81316 * 28 27 26 53 53 H 1.09000 * 110.59733 * 204.60098 * 28 27 26 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 6 2.0400 -0.7212 1.2492 5 1 1.7767 -1.7788 1.2637 6 7 1.7243 -0.0262 2.4919 7 6 0.4661 0.2864 3.1739 8 7 0.2102 -0.7188 4.2142 9 6 0.8990 -0.3703 5.4634 10 6 0.4950 -1.3557 6.5624 11 6 0.8696 -2.7762 6.1303 12 6 0.1776 -3.0965 4.8025 13 1 -0.9035 -3.0652 4.9386 14 6 0.5876 -4.4710 4.3401 15 1 1.5020 -4.6020 3.7805 16 6 -0.2045 -5.5612 4.6316 17 7 0.1913 -6.7699 4.2968 18 14 -1.8398 -5.3215 5.5020 19 1 -2.8955 -5.0272 4.4998 20 1 -2.1922 -6.5590 6.2433 21 1 -1.7320 -4.1876 6.4548 22 6 0.5908 -2.0605 3.7545 23 6 3.0095 0.2162 2.7827 24 8 3.5633 0.7743 3.7061 25 6 3.5059 -0.4580 1.5446 26 6 4.3634 -1.7122 1.7730 27 6 5.6235 -1.4662 0.9056 28 6 5.6007 0.0737 0.7280 29 8 4.1936 0.3814 0.6102 30 1 -0.3634 0.4181 -0.9388 31 1 -0.3633 -1.0220 0.1073 32 1 -0.3634 0.6040 0.8314 33 1 1.8933 -0.5138 -0.8900 34 1 3.0898 1.4567 -0.2927 35 1 1.4578 2.0338 -0.7068 36 1 1.9356 1.8648 0.9995 37 1 -0.3505 0.2778 2.4519 38 1 0.5360 1.2731 3.6315 39 1 0.6208 0.6405 5.7618 40 1 1.9770 -0.4197 5.3096 41 1 1.0184 -1.1063 7.4853 42 1 -0.5810 -1.2971 6.7262 43 1 1.9500 -2.8455 6.0040 44 1 0.5445 -3.4859 6.8910 45 1 -0.3662 -7.5369 4.5016 46 1 0.0886 -2.2774 2.8117 47 1 1.6703 -2.1020 3.6090 48 1 4.6351 -1.8032 2.8247 49 1 3.8337 -2.6038 1.4375 50 1 6.5244 -1.7833 1.4307 51 1 5.5380 -1.9726 -0.0559 52 1 6.0294 0.5668 1.6004 53 1 6.1360 0.3634 -0.1763 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC000853525303.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 21:00:29 Heat of formation + Delta-G solvation = -35.453215 kcal Electronic energy + Delta-G solvation = -32666.716216 eV Core-core repulsion = 28732.672642 eV Total energy + Delta-G solvation = -3934.043574 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -42.13514 -38.78930 -37.75281 -36.97974 -34.23325 -33.55253 -32.35044 -32.09057 -30.30045 -29.48755 -27.13614 -26.58095 -25.09536 -24.93186 -23.50189 -22.13537 -21.50413 -21.16490 -20.34664 -18.87907 -18.55300 -17.46337 -16.91908 -16.54809 -16.33996 -16.07048 -15.62705 -15.06398 -14.43358 -14.18264 -14.18068 -13.90484 -13.85022 -13.49565 -13.38894 -13.24651 -12.90075 -12.81469 -12.53552 -12.38236 -12.20048 -12.15950 -12.09905 -11.89649 -11.64233 -11.47148 -11.23048 -11.06906 -11.01478 -10.92659 -10.71963 -10.62072 -10.49255 -10.42788 -10.19410 -9.84347 -9.64562 -9.41683 -9.26915 -9.00141 -8.82221 -8.52014 -8.00431 -6.10166 -4.09684 2.41745 2.98527 3.29516 3.37969 3.42518 3.60221 3.91560 4.19331 4.36064 4.42090 4.43929 4.72630 4.77917 4.86864 5.00094 5.06722 5.17697 5.20039 5.21512 5.42406 5.46874 5.48687 5.51953 5.52653 5.61859 5.64070 5.68148 5.74536 5.82980 5.86955 5.91253 5.92230 5.97928 6.05257 6.09592 6.15618 6.29102 6.30838 6.39163 6.48168 6.52980 6.60658 6.61617 6.66201 6.70310 6.83256 6.90186 7.27057 7.41963 7.48746 7.52959 7.82203 8.26967 8.49780 8.93370 9.53888 11.02850 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.013069 B = 0.004205 C = 0.004052 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2142.009765 B = 6656.625261 C = 6908.809600 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.153 4.153 2 C -0.087 4.087 3 C -0.150 4.150 4 C 0.136 3.864 5 H 0.110 0.890 6 N -0.622 5.622 7 C 0.282 3.718 8 N -0.542 5.542 9 C 0.057 3.943 10 C -0.119 4.119 11 C -0.112 4.112 12 C 0.020 3.980 13 H 0.038 0.962 14 C -0.511 4.511 15 H 0.070 0.930 16 C 0.073 3.927 17 N -0.901 5.901 18 Si 0.878 3.122 19 H -0.276 1.276 20 H -0.292 1.292 21 H -0.263 1.263 22 C 0.079 3.921 23 C 0.517 3.483 24 O -0.510 6.510 25 C 0.054 3.946 26 C -0.128 4.128 27 C -0.149 4.149 28 C 0.033 3.967 29 O -0.325 6.325 30 H 0.056 0.944 31 H 0.060 0.940 32 H 0.058 0.942 33 H 0.085 0.915 34 H 0.087 0.913 35 H 0.047 0.953 36 H 0.048 0.952 37 H 0.104 0.896 38 H 0.080 0.920 39 H 0.060 0.940 40 H 0.036 0.964 41 H 0.052 0.948 42 H 0.061 0.939 43 H 0.047 0.953 44 H 0.052 0.948 45 H 0.263 0.737 46 H 0.065 0.935 47 H 0.028 0.972 48 H 0.085 0.915 49 H 0.095 0.905 50 H 0.083 0.917 51 H 0.081 0.919 52 H 0.065 0.935 53 H 0.096 0.904 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 5.586 14.401 -9.366 18.064 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 -0.210 4.210 2 C -0.107 4.107 3 C -0.207 4.207 4 C 0.032 3.968 5 H 0.127 0.873 6 N -0.362 5.362 7 C 0.074 3.926 8 N -0.267 5.267 9 C -0.070 4.070 10 C -0.157 4.157 11 C -0.150 4.150 12 C 0.000 4.000 13 H 0.057 0.943 14 C -0.549 4.549 15 H 0.088 0.912 16 C -0.128 4.128 17 N -0.539 5.539 18 Si 0.705 3.295 19 H -0.202 1.202 20 H -0.218 1.218 21 H -0.188 1.188 22 C -0.047 4.047 23 C 0.301 3.699 24 O -0.383 6.383 25 C 0.010 3.990 26 C -0.167 4.167 27 C -0.186 4.186 28 C -0.043 4.043 29 O -0.243 6.243 30 H 0.075 0.925 31 H 0.079 0.921 32 H 0.077 0.923 33 H 0.103 0.897 34 H 0.105 0.895 35 H 0.066 0.934 36 H 0.068 0.932 37 H 0.121 0.879 38 H 0.098 0.902 39 H 0.079 0.921 40 H 0.054 0.946 41 H 0.071 0.929 42 H 0.080 0.920 43 H 0.066 0.934 44 H 0.071 0.929 45 H 0.073 0.927 46 H 0.083 0.917 47 H 0.046 0.954 48 H 0.103 0.897 49 H 0.114 0.886 50 H 0.101 0.899 51 H 0.100 0.900 52 H 0.083 0.917 53 H 0.114 0.886 Dipole moment (debyes) X Y Z Total from point charges 5.026 14.726 -8.772 17.862 hybrid contribution -0.062 -0.195 0.559 0.595 sum 4.964 14.531 -8.214 17.414 Atomic orbital electron populations 1.21981 0.94787 1.02389 1.01845 1.21160 0.95949 0.97181 0.96395 1.22089 1.02469 0.94695 1.01453 1.22424 0.90500 0.98149 0.85719 0.87268 1.50813 1.06871 1.55509 1.23005 1.22699 0.83401 0.95426 0.91113 1.62702 1.56769 1.03849 1.03416 1.22096 0.96467 0.98152 0.90328 1.21678 1.01075 0.96674 0.96310 1.21863 1.00160 0.93253 0.99737 1.19182 0.96312 0.93843 0.90644 0.94346 1.20907 1.09028 0.89221 1.35725 0.91207 1.25029 0.97839 0.95030 0.94945 1.69905 1.37978 0.98305 1.47695 0.86847 0.84594 0.77475 0.80557 1.20224 1.21814 1.18768 1.22170 0.97735 0.85508 0.99328 1.21891 0.83015 0.78449 0.86575 1.90688 1.68135 1.43726 1.35732 1.23366 0.94187 0.91878 0.89565 1.22638 0.95565 0.96320 1.02142 1.23117 0.98269 0.96399 1.00858 1.23763 0.83510 0.94719 1.02307 1.89019 1.17903 1.60231 1.57101 0.92466 0.92102 0.92327 0.89688 0.89501 0.93380 0.93250 0.87860 0.90179 0.92113 0.94608 0.92906 0.92035 0.93375 0.92946 0.92691 0.91689 0.95400 0.89659 0.88625 0.89867 0.90021 0.91704 0.88560 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 -0.15 -1.52 8.64 37.16 0.32 -1.20 16 2 C -0.09 -0.92 2.93 -90.62 -0.27 -1.18 16 3 C -0.15 -1.63 8.13 37.16 0.30 -1.33 16 4 C 0.14 1.70 3.35 -73.76 -0.25 1.46 16 5 H 0.11 1.43 7.17 -51.93 -0.37 1.06 16 6 N -0.62 -8.85 1.05 -187.85 -0.20 -9.05 16 7 C 0.28 4.01 6.68 -63.31 -0.42 3.58 16 8 N -0.54 -9.29 4.90 -238.56 -1.17 -10.46 16 9 C 0.06 1.00 5.40 -3.83 -0.02 0.98 16 10 C -0.12 -2.16 6.09 -26.65 -0.16 -2.32 16 11 C -0.11 -2.40 5.27 -26.61 -0.14 -2.54 16 12 C 0.02 0.45 1.91 -91.69 -0.17 0.27 16 13 H 0.04 0.92 5.31 -51.93 -0.28 0.64 16 14 C -0.51 -13.72 8.87 -34.44 -0.31 -14.02 16 15 H 0.07 2.03 8.06 -52.48 -0.42 1.61 16 16 C 0.07 2.05 5.47 -17.82 -0.10 1.95 16 17 N -0.90 -26.81 13.96 55.43 0.77 -26.03 16 18 Si 0.88 21.36 27.00 -169.99 -4.59 16.77 16 19 H -0.28 -6.63 7.11 56.52 0.40 -6.22 16 20 H -0.29 -7.12 7.11 56.52 0.40 -6.72 16 21 H -0.26 -6.21 6.80 56.52 0.38 -5.82 16 22 C 0.08 1.55 3.49 -3.83 -0.01 1.54 16 23 C 0.52 8.28 7.56 -16.82 -0.13 8.15 16 24 O -0.51 -9.85 17.38 5.56 0.10 -9.76 16 25 C 0.05 0.70 1.39 -92.67 -0.13 0.57 16 26 C -0.13 -1.55 6.47 -25.38 -0.16 -1.71 16 27 C -0.15 -1.37 7.16 -24.63 -0.18 -1.55 16 28 C 0.03 0.32 7.72 38.23 0.30 0.61 16 29 O -0.32 -3.84 7.02 -35.23 -0.25 -4.09 16 30 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 31 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 32 H 0.06 0.60 5.44 -51.93 -0.28 0.32 16 33 H 0.08 0.83 8.14 -51.93 -0.42 0.40 16 34 H 0.09 0.99 5.22 -52.07 -0.27 0.72 16 35 H 0.05 0.46 8.03 -51.93 -0.42 0.05 16 36 H 0.05 0.62 6.72 -51.93 -0.35 0.27 16 37 H 0.10 1.29 5.38 -51.92 -0.28 1.02 16 38 H 0.08 1.10 7.70 -51.93 -0.40 0.70 16 39 H 0.06 0.95 7.91 -51.93 -0.41 0.54 16 40 H 0.04 0.69 7.14 -51.93 -0.37 0.32 16 41 H 0.05 0.86 8.14 -51.93 -0.42 0.44 16 42 H 0.06 1.11 8.14 -51.93 -0.42 0.69 16 43 H 0.05 1.05 8.14 -51.93 -0.42 0.63 16 44 H 0.05 1.17 8.14 -51.93 -0.42 0.74 16 45 H 0.26 7.40 8.31 -40.82 -0.34 7.06 16 46 H 0.06 1.26 7.96 -51.93 -0.41 0.85 16 47 H 0.03 0.56 6.99 -51.93 -0.36 0.20 16 48 H 0.08 1.16 7.95 -51.93 -0.41 0.74 16 49 H 0.10 1.13 7.71 -51.93 -0.40 0.73 16 50 H 0.08 0.68 8.14 -51.93 -0.42 0.26 16 51 H 0.08 0.66 8.14 -51.93 -0.42 0.24 16 52 H 0.06 0.67 8.14 -51.93 -0.42 0.25 16 53 H 0.10 0.70 8.14 -51.93 -0.42 0.28 16 LS Contribution 391.41 15.07 5.90 5.90 Total: -1.00 -30.99 391.41 -10.21 -41.20 By element: Atomic # 1 Polarization: 11.51 SS G_CDS: -9.24 Total: 2.27 kcal Atomic # 6 Polarization: -5.21 SS G_CDS: -1.53 Total: -6.74 kcal Atomic # 7 Polarization: -44.95 SS G_CDS: -0.59 Total: -45.54 kcal Atomic # 8 Polarization: -13.70 SS G_CDS: -0.15 Total: -13.85 kcal Atomic # 14 Polarization: 21.36 SS G_CDS: -4.59 Total: 16.77 kcal Total LS contribution 5.90 Total: 5.90 kcal Total: -30.99 -10.21 -41.20 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. ZINC000853525303.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 5.743 kcal (2) G-P(sol) polarization free energy of solvation -30.991 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -25.248 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.206 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.196 kcal (6) G-S(sol) free energy of system = (1) + (5) -35.453 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds