Wall clock time and date at job start Tue Mar 31 2020 19:45:15 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 1.52999 * 109.47187 * 2 1 4 4 C 1.52998 * 109.47323 * 175.00137 * 3 2 1 5 5 C 1.52998 * 109.47231 * 185.00046 * 4 3 2 6 6 N 1.46497 * 109.47058 * 295.00193 * 3 2 1 7 7 C 1.46762 * 124.34850 * 120.19340 * 6 3 2 8 8 C 1.54479 * 105.53509 * 163.21275 * 7 6 3 9 9 H 1.09001 * 110.99877 * 143.34173 * 8 7 6 10 10 C 1.50698 * 110.97021 * 267.08919 * 8 7 6 11 11 O 1.21279 * 120.00477 * 353.83695 * 10 8 7 12 12 N 1.34782 * 119.99866 * 173.83317 * 10 8 7 13 13 C 1.46924 * 120.62984 * 359.97438 * 12 10 8 14 14 C 1.53188 * 108.77486 * 233.58487 * 13 12 10 15 15 C 1.53040 * 109.32001 * 305.36783 * 14 13 12 16 16 C 1.53036 * 109.53267 * 61.36501 * 15 14 13 17 17 H 1.09003 * 109.50307 * 58.59181 * 16 15 14 18 18 C 1.50707 * 109.49696 * 178.65300 * 16 15 14 19 19 H 1.07999 * 119.99649 * 119.99711 * 18 16 15 20 20 C 1.37870 * 119.99910 * 300.00305 * 18 16 15 21 21 N 1.31517 * 120.00163 * 359.97438 * 20 18 16 22 22 Si 1.86801 * 120.00141 * 179.97438 * 20 18 16 23 23 H 1.48507 * 109.47059 * 359.97438 * 22 20 18 24 24 H 1.48497 * 109.47335 * 119.99459 * 22 20 18 25 25 H 1.48503 * 109.47100 * 239.99982 * 22 20 18 26 26 C 1.46928 * 120.62809 * 179.72589 * 12 10 8 27 27 C 1.54623 * 101.76448 * 25.20998 * 8 7 6 28 28 C 1.34417 * 124.35094 * 300.02103 * 6 3 2 29 29 O 1.21283 * 124.94355 * 0.43141 * 28 6 3 30 30 H 1.09006 * 109.47337 * 179.97438 * 1 2 3 31 31 H 1.09002 * 109.47104 * 299.99726 * 1 2 3 32 32 H 1.08992 * 109.47187 * 59.99927 * 1 2 3 33 33 H 1.09002 * 109.47104 * 240.00274 * 2 1 3 34 34 H 1.09006 * 109.47289 * 120.00314 * 2 1 3 35 35 H 1.09004 * 109.47122 * 55.00032 * 3 2 1 36 36 H 1.09000 * 109.46928 * 304.99890 * 4 3 2 37 37 H 1.08998 * 109.47175 * 64.99900 * 4 3 2 38 38 H 1.09005 * 109.46994 * 60.00197 * 5 4 3 39 39 H 1.09002 * 109.47233 * 179.97438 * 5 4 3 40 40 H 1.09004 * 109.47279 * 300.00210 * 5 4 3 41 41 H 1.09004 * 110.38933 * 44.10688 * 7 6 3 42 42 H 1.08994 * 110.04470 * 282.14598 * 7 6 3 43 43 H 1.08998 * 109.58664 * 353.37873 * 13 12 10 44 44 H 1.09006 * 109.58301 * 113.80220 * 13 12 10 45 45 H 1.08998 * 109.49480 * 65.32638 * 14 13 12 46 46 H 1.09008 * 109.49511 * 185.38058 * 14 13 12 47 47 H 1.08997 * 109.46106 * 181.38384 * 15 14 13 48 48 H 1.09003 * 109.45809 * 301.36131 * 15 14 13 49 49 H 0.97000 * 119.99966 * 180.02562 * 21 20 18 50 50 H 1.09001 * 109.58116 * 246.19991 * 26 12 10 51 51 H 1.08999 * 109.58924 * 6.62277 * 26 12 10 52 52 H 1.09000 * 110.48720 * 216.52574 * 27 8 7 53 53 H 1.08997 * 110.48721 * 93.88170 * 27 8 7 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 3.5648 1.4443 0.1257 5 6 4.0644 2.8850 0.2511 6 7 1.6524 2.0975 -1.2518 7 6 0.8109 3.2971 -1.3326 8 6 1.0262 3.8585 -2.7556 9 1 0.1010 4.2726 -3.1562 10 6 2.1252 4.8895 -2.7681 11 8 2.6278 5.2528 -1.7258 12 7 2.5498 5.4077 -3.9376 13 6 1.9512 4.9771 -5.2084 14 6 3.0693 4.5177 -6.1494 15 6 4.1047 5.6360 -6.2893 16 6 4.7191 5.9387 -4.9208 17 1 5.1819 5.0360 -4.5220 18 6 5.7620 7.0170 -5.0650 19 1 5.6542 7.9478 -4.5280 20 6 6.8537 6.8152 -5.8826 21 7 6.9852 5.6815 -6.5362 22 14 8.1461 8.1520 -6.0619 23 1 7.7674 9.3216 -5.2289 24 1 9.4628 7.6308 -5.6148 25 1 8.2352 8.5666 -7.4851 26 6 3.6162 6.4181 -3.9654 27 6 1.4478 2.5908 -3.5341 28 6 2.0245 1.6788 -2.4737 29 8 2.7174 0.7081 -2.6943 30 1 -0.3634 -1.0277 -0.0005 31 1 -0.3633 0.5138 0.8900 32 1 -0.3633 0.5138 -0.8899 33 1 1.8933 -0.5138 -0.8900 34 1 1.8933 -0.5139 0.8900 35 1 1.6053 1.9815 0.8418 36 1 3.8570 0.8801 1.0113 37 1 4.0029 0.9836 -0.7597 38 1 3.6263 3.3457 1.1365 39 1 5.1507 2.8863 0.3411 40 1 3.7721 3.4494 -0.6345 41 1 1.1211 4.0296 -0.5873 42 1 -0.2357 3.0299 -1.1869 43 1 1.2637 4.1510 -5.0270 44 1 1.4132 5.8107 -5.6598 45 1 3.5476 3.6284 -5.7391 46 1 2.6489 4.2859 -7.1280 47 1 4.8888 5.3209 -6.9777 48 1 3.6206 6.5328 -6.6762 49 1 7.7534 5.5394 -7.1111 50 1 3.2113 7.3670 -4.3173 51 1 4.0275 6.5430 -2.9637 52 1 2.2044 2.8350 -4.2797 53 1 0.5815 2.1272 -4.0060 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 ZINC000597913611.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 19:45:15 Heat of formation + Delta-G solvation = -84.254939 kcal Electronic energy + Delta-G solvation = -31833.992071 eV Core-core repulsion = 27897.832296 eV Total energy + Delta-G solvation = -3936.159775 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) -41.14787 -39.34252 -36.97758 -36.51691 -35.59047 -33.57025 -32.10182 -31.50816 -31.15820 -29.87290 -27.73809 -26.54192 -25.14820 -24.96133 -22.52896 -22.14509 -21.95041 -21.69154 -19.84462 -18.91338 -18.26763 -17.43534 -16.84603 -16.32106 -15.80925 -15.51305 -15.13218 -14.74895 -14.62895 -14.47071 -14.22081 -13.78101 -13.61561 -13.41287 -13.15661 -13.04215 -12.94589 -12.85240 -12.77343 -12.56692 -12.44826 -12.07442 -11.99936 -11.68785 -11.60844 -11.52235 -11.14846 -11.01907 -10.95629 -10.87343 -10.83756 -10.75019 -10.71125 -10.34630 -9.98373 -9.84399 -9.51622 -9.50369 -9.34457 -8.84663 -8.63219 -8.41044 -7.96526 -6.03215 -4.10664 2.66125 2.86698 2.98426 3.27809 3.35125 3.37501 3.42337 4.21765 4.27823 4.41084 4.53704 4.64558 4.81046 4.88851 4.97490 5.15964 5.21261 5.25591 5.31500 5.32251 5.37718 5.41485 5.47081 5.52424 5.56070 5.66439 5.68984 5.73545 5.75722 5.82669 5.90212 5.97795 6.06077 6.12727 6.15959 6.28773 6.29081 6.34196 6.42768 6.59084 6.62454 6.69392 6.76206 6.89846 7.12363 7.17894 7.29572 7.67346 7.86383 7.94712 8.05388 8.25884 8.34444 8.52896 8.93051 9.54550 11.02177 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.016643 B = 0.003316 C = 0.003146 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1681.943686 B = 8440.668116 C = 8899.257352 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.142 4.142 3 C 0.163 3.837 4 C -0.140 4.140 5 C -0.152 4.152 6 N -0.605 5.605 7 C 0.117 3.883 8 C -0.125 4.125 9 H 0.120 0.880 10 C 0.515 3.485 11 O -0.540 6.540 12 N -0.598 5.598 13 C 0.100 3.900 14 C -0.137 4.137 15 C -0.112 4.112 16 C 0.041 3.959 17 H 0.029 0.971 18 C -0.514 4.514 19 H 0.057 0.943 20 C 0.063 3.937 21 N -0.887 5.887 22 Si 0.892 3.108 23 H -0.273 1.273 24 H -0.284 1.284 25 H -0.284 1.284 26 C 0.118 3.882 27 C -0.158 4.158 28 C 0.522 3.478 29 O -0.527 6.527 30 H 0.052 0.948 31 H 0.051 0.949 32 H 0.053 0.947 33 H 0.079 0.921 34 H 0.071 0.929 35 H 0.086 0.914 36 H 0.067 0.933 37 H 0.077 0.923 38 H 0.047 0.953 39 H 0.050 0.950 40 H 0.071 0.929 41 H 0.097 0.903 42 H 0.074 0.926 43 H 0.076 0.924 44 H 0.064 0.936 45 H 0.058 0.942 46 H 0.059 0.941 47 H 0.096 0.904 48 H 0.036 0.964 49 H 0.260 0.740 50 H 0.056 0.944 51 H 0.079 0.921 52 H 0.116 0.884 53 H 0.112 0.888 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.037 -7.764 8.755 20.668 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 -0.203 4.203 2 C -0.180 4.180 3 C 0.061 3.939 4 C -0.178 4.178 5 C -0.209 4.209 6 N -0.339 5.339 7 C -0.006 4.006 8 C -0.146 4.146 9 H 0.138 0.862 10 C 0.302 3.698 11 O -0.419 6.419 12 N -0.329 5.329 13 C -0.023 4.023 14 C -0.175 4.175 15 C -0.150 4.150 16 C 0.022 3.978 17 H 0.047 0.953 18 C -0.553 4.553 19 H 0.075 0.925 20 C -0.138 4.138 21 N -0.526 5.526 22 Si 0.720 3.280 23 H -0.197 1.197 24 H -0.210 1.210 25 H -0.210 1.210 26 C -0.003 4.003 27 C -0.198 4.198 28 C 0.310 3.690 29 O -0.404 6.404 30 H 0.071 0.929 31 H 0.070 0.930 32 H 0.072 0.928 33 H 0.098 0.902 34 H 0.089 0.911 35 H 0.104 0.896 36 H 0.086 0.914 37 H 0.096 0.904 38 H 0.067 0.933 39 H 0.069 0.931 40 H 0.090 0.910 41 H 0.115 0.885 42 H 0.093 0.907 43 H 0.094 0.906 44 H 0.083 0.917 45 H 0.077 0.923 46 H 0.077 0.923 47 H 0.114 0.886 48 H 0.054 0.946 49 H 0.070 0.930 50 H 0.074 0.926 51 H 0.097 0.903 52 H 0.134 0.866 53 H 0.130 0.870 Dipole moment (debyes) X Y Z Total from point charges -16.253 -8.189 9.138 20.365 hybrid contribution 0.681 0.789 -0.339 1.096 sum -15.572 -7.400 8.799 19.356 Atomic orbital electron populations 1.21710 0.95713 1.01376 1.01546 1.21955 0.96167 0.96404 1.03471 1.21041 0.95134 0.92759 0.84946 1.21940 0.94581 0.98458 1.02849 1.21763 1.00587 0.95793 1.02755 1.48236 1.50856 1.28757 1.06072 1.22008 0.94505 0.87190 0.96922 1.22296 0.99934 0.95159 0.97259 0.86220 1.20063 0.83636 0.82183 0.83955 1.90655 1.57934 1.61734 1.31528 1.48251 1.37754 1.41616 1.05321 1.21952 0.96167 0.99361 0.84792 1.22033 0.97093 1.00846 0.97542 1.21627 0.96825 0.94611 1.01937 1.19038 0.91076 0.97075 0.90628 0.95283 1.21095 1.05707 1.01407 1.27100 0.92469 1.24937 0.97820 0.95528 0.95529 1.69880 1.29499 1.23756 1.29452 0.86535 0.81627 0.82063 0.77772 1.19743 1.21021 1.21043 1.22103 0.87309 0.88697 1.02196 1.22655 1.04106 0.94391 0.98640 1.20677 0.79513 0.84685 0.84159 1.90694 1.37842 1.28068 1.83767 0.92922 0.92981 0.92824 0.90210 0.91061 0.89602 0.91435 0.90442 0.93345 0.93099 0.90969 0.88458 0.90744 0.90563 0.91730 0.92280 0.92278 0.88583 0.94553 0.92995 0.92612 0.90293 0.86634 0.87024 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 -1.23 9.80 37.16 0.36 -0.87 16 2 C -0.14 -1.44 5.36 -26.73 -0.14 -1.58 16 3 C 0.16 1.83 2.25 -67.93 -0.15 1.68 16 4 C -0.14 -1.81 5.36 -26.73 -0.14 -1.95 16 5 C -0.15 -2.20 9.80 37.16 0.36 -1.83 16 6 N -0.61 -7.31 1.74 -164.85 -0.29 -7.59 16 7 C 0.12 1.19 6.68 -3.12 -0.02 1.17 16 8 C -0.12 -1.36 2.60 -90.14 -0.23 -1.60 16 9 H 0.12 0.91 8.05 -51.93 -0.42 0.50 16 10 C 0.52 8.21 7.10 -10.98 -0.08 8.13 16 11 O -0.54 -10.27 13.59 5.56 0.08 -10.19 16 12 N -0.60 -10.12 2.94 -172.52 -0.51 -10.63 16 13 C 0.10 1.40 5.41 -3.71 -0.02 1.38 16 14 C -0.14 -2.32 5.90 -26.61 -0.16 -2.48 16 15 C -0.11 -2.44 4.96 -26.69 -0.13 -2.57 16 16 C 0.04 0.98 2.26 -91.44 -0.21 0.78 16 17 H 0.03 0.80 8.14 -51.93 -0.42 0.38 16 18 C -0.51 -13.77 8.57 -34.44 -0.29 -14.06 16 19 H 0.06 1.52 7.74 -52.49 -0.41 1.11 16 20 C 0.06 1.72 5.30 -17.82 -0.09 1.63 16 21 N -0.89 -24.88 11.31 55.43 0.63 -24.25 16 22 Si 0.89 21.05 29.54 -169.99 -5.02 16.03 16 23 H -0.27 -6.36 7.11 56.52 0.40 -5.96 16 24 H -0.28 -6.75 7.11 56.52 0.40 -6.35 16 25 H -0.28 -6.64 7.11 56.52 0.40 -6.24 16 26 C 0.12 2.43 5.68 -3.50 -0.02 2.41 16 27 C -0.16 -1.83 4.99 -26.74 -0.13 -1.97 16 28 C 0.52 7.55 7.37 -10.86 -0.08 7.47 16 29 O -0.53 -9.48 15.02 5.55 0.08 -9.40 16 30 H 0.05 0.41 8.14 -51.93 -0.42 -0.01 16 31 H 0.05 0.38 8.14 -51.93 -0.42 -0.04 16 32 H 0.05 0.48 7.75 -51.93 -0.40 0.07 16 33 H 0.08 1.02 6.62 -51.93 -0.34 0.68 16 34 H 0.07 0.63 8.14 -51.93 -0.42 0.20 16 35 H 0.09 0.83 8.07 -51.93 -0.42 0.41 16 36 H 0.07 0.74 8.14 -51.93 -0.42 0.31 16 37 H 0.08 1.22 6.65 -51.93 -0.35 0.88 16 38 H 0.05 0.63 8.14 -51.93 -0.42 0.20 16 39 H 0.05 0.74 8.14 -51.93 -0.42 0.32 16 40 H 0.07 1.27 6.38 -51.93 -0.33 0.93 16 41 H 0.10 1.12 6.94 -51.93 -0.36 0.76 16 42 H 0.07 0.54 8.14 -51.93 -0.42 0.11 16 43 H 0.08 0.82 4.54 -51.93 -0.24 0.58 16 44 H 0.06 0.83 8.14 -51.93 -0.42 0.41 16 45 H 0.06 1.08 7.41 -51.93 -0.38 0.70 16 46 H 0.06 0.87 8.14 -51.92 -0.42 0.44 16 47 H 0.10 2.41 6.04 -51.93 -0.31 2.10 16 48 H 0.04 0.77 8.14 -51.93 -0.42 0.35 16 49 H 0.26 6.98 8.31 -40.82 -0.34 6.64 16 50 H 0.06 1.12 8.14 -51.93 -0.42 0.69 16 51 H 0.08 1.77 7.00 -51.93 -0.36 1.40 16 52 H 0.12 1.58 5.12 -51.93 -0.27 1.31 16 53 H 0.11 0.94 8.14 -51.93 -0.42 0.51 16 LS Contribution 397.33 15.07 5.99 5.99 Total: -1.00 -31.44 397.33 -9.45 -40.89 By element: Atomic # 1 Polarization: 12.65 SS G_CDS: -9.22 Total: 3.43 kcal Atomic # 6 Polarization: -3.09 SS G_CDS: -1.18 Total: -4.27 kcal Atomic # 7 Polarization: -42.31 SS G_CDS: -0.17 Total: -42.47 kcal Atomic # 8 Polarization: -19.75 SS G_CDS: 0.16 Total: -19.59 kcal Atomic # 14 Polarization: 21.05 SS G_CDS: -5.02 Total: 16.03 kcal Total LS contribution 5.99 Total: 5.99 kcal Total: -31.44 -9.45 -40.89 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. ZINC000597913611.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 -43.363 kcal (2) G-P(sol) polarization free energy of solvation -31.445 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -74.808 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.447 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.892 kcal (6) G-S(sol) free energy of system = (1) + (5) -84.255 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds