Wall clock time and date at job start Sat Apr 11 2020 06:10:16 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 1.52997 * 1 3 3 C 1.52999 * 109.47495 * 2 1 4 4 C 1.53000 * 109.47238 * 239.99404 * 2 1 3 5 5 O 1.45205 * 109.46842 * 119.99590 * 2 1 3 6 6 C 1.34642 * 116.99664 * 60.00237 * 5 2 1 7 7 O 1.21504 * 120.00058 * 359.97438 * 6 5 2 8 8 N 1.34775 * 119.99443 * 180.02562 * 6 5 2 9 9 C 1.47425 * 125.65252 * 359.95684 * 8 6 5 10 10 C 1.54907 * 104.83003 * 204.16478 * 9 8 6 11 11 C 1.55155 * 101.58319 * 322.98720 * 10 9 8 12 12 H 1.09001 * 110.87353 * 277.06579 * 11 10 9 13 13 C 1.53005 * 110.71911 * 153.86778 * 11 10 9 14 14 N 1.46896 * 109.46969 * 71.62143 * 13 11 10 15 15 C 1.47450 * 111.00212 * 74.69041 * 14 13 11 16 16 C 1.54317 * 107.23556 * 123.25256 * 15 14 13 17 17 C 1.55147 * 103.01892 * 22.28618 * 16 15 14 18 18 O 1.42901 * 110.99106 * 82.43174 * 17 16 15 19 19 C 1.50696 * 110.99216 * 206.25272 * 17 16 15 20 20 H 1.08000 * 119.99863 * 112.26319 * 19 17 16 21 21 C 1.37873 * 120.00103 * 292.26578 * 19 17 16 22 22 N 1.31517 * 119.99879 * 0.02562 * 21 19 17 23 23 Si 1.86802 * 120.00030 * 179.97438 * 21 19 17 24 24 H 1.48497 * 109.47086 * 0.02562 * 23 21 19 25 25 H 1.48499 * 109.46983 * 120.00481 * 23 21 19 26 26 H 1.48500 * 109.47235 * 240.00203 * 23 21 19 27 27 C 1.47849 * 110.99932 * 195.52737 * 14 13 11 28 28 C 1.47024 * 125.64362 * 179.97438 * 8 6 5 29 29 H 1.08992 * 109.47351 * 300.00817 * 1 2 3 30 30 H 1.09008 * 109.46617 * 60.00069 * 1 2 3 31 31 H 1.08995 * 109.47563 * 179.97438 * 1 2 3 32 32 H 1.08996 * 109.47276 * 180.02562 * 3 2 1 33 33 H 1.09001 * 109.46789 * 299.99381 * 3 2 1 34 34 H 1.08992 * 109.47488 * 59.99267 * 3 2 1 35 35 H 1.08999 * 109.47374 * 300.00042 * 4 2 1 36 36 H 1.09001 * 109.47250 * 60.00494 * 4 2 1 37 37 H 1.09003 * 109.47134 * 180.02562 * 4 2 1 38 38 H 1.08999 * 110.36601 * 323.00242 * 9 8 6 39 39 H 1.09002 * 110.36721 * 85.32365 * 9 8 6 40 40 H 1.09007 * 111.00114 * 204.91203 * 10 9 8 41 41 H 1.08997 * 111.00944 * 81.06528 * 10 9 8 42 42 H 1.09002 * 109.47241 * 311.62297 * 13 11 10 43 43 H 1.09005 * 109.46823 * 191.61952 * 13 11 10 44 44 H 1.08996 * 109.88868 * 242.66017 * 15 14 13 45 45 H 1.09002 * 109.88199 * 3.68845 * 15 14 13 46 46 H 1.08999 * 110.70813 * 140.66804 * 16 15 14 47 47 H 1.08996 * 110.70828 * 263.90804 * 16 15 14 48 48 H 0.96707 * 113.99219 * 67.73461 * 18 17 16 49 49 H 0.96998 * 119.99761 * 180.02562 * 22 21 19 50 50 H 1.08994 * 110.37296 * 332.47080 * 27 14 13 51 51 H 1.09004 * 110.37064 * 94.80754 * 27 14 13 52 52 H 1.09005 * 109.88432 * 59.49119 * 28 8 6 53 53 H 1.09000 * 110.01710 * 298.39682 * 28 8 6 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 2.0401 1.4425 0.0000 4 6 2.0400 -0.7214 -1.2492 5 8 2.0139 -0.6844 1.1857 6 6 1.6521 -1.9723 1.3384 7 8 0.9508 -2.5094 0.5041 8 7 2.0670 -2.6653 2.4173 9 6 2.9169 -2.1399 3.5014 10 6 3.5986 -3.3898 4.1119 11 6 2.4588 -4.4391 4.0268 12 1 1.7777 -4.3421 4.8723 13 6 3.0318 -5.8560 3.9557 14 7 3.5928 -6.2235 5.2626 15 6 2.5227 -6.5251 6.2311 16 6 2.7698 -7.9554 6.7550 17 6 4.2819 -8.1710 6.4825 18 8 5.0766 -7.5933 7.5201 19 6 4.5970 -9.6352 6.3158 20 1 4.9073 -10.0146 5.3534 21 6 4.4890 -10.4904 7.3918 22 7 4.1105 -10.0285 8.5636 23 14 4.8789 -12.3056 7.1850 24 1 5.2781 -12.5691 5.7792 25 1 5.9923 -12.6793 8.0937 26 1 3.6766 -13.1112 7.5179 27 6 4.4712 -7.4072 5.1481 28 6 1.7473 -4.0706 2.7079 29 1 -0.3633 0.5139 0.8898 30 1 -0.3633 0.5139 -0.8901 31 1 -0.3634 -1.0276 -0.0005 32 1 3.1300 1.4424 -0.0005 33 1 1.6768 1.9562 -0.8901 34 1 1.6767 1.9564 0.8898 35 1 1.6767 -1.7490 -1.2491 36 1 1.6768 -0.2076 -2.1392 37 1 3.1300 -0.7218 -1.2489 38 1 3.6658 -1.4576 3.0994 39 1 2.3070 -1.6360 4.2512 40 1 3.8880 -3.2103 5.1474 41 1 4.4577 -3.6968 3.5155 42 1 3.8165 -5.8931 3.2000 43 1 2.2389 -6.5556 3.6909 44 1 2.5601 -5.8157 7.0578 45 1 1.5514 -6.4704 5.7394 46 1 2.5581 -8.0168 7.8225 47 1 2.1714 -8.6779 6.2001 48 1 4.9911 -8.0379 8.3747 49 1 4.0349 -10.6301 9.3206 50 1 4.1626 -8.0290 4.3079 51 1 5.5102 -7.0988 5.0316 52 1 2.1095 -4.7077 1.9010 53 1 0.6701 -4.1925 2.8211 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 ZINC000829975022.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 06:10:16 Heat of formation + Delta-G solvation = -126.207134 kcal Electronic energy + Delta-G solvation = -30764.237401 eV Core-core repulsion = 26635.802391 eV Total energy + Delta-G solvation = -4128.435011 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.82 seconds Orbital eigenvalues (eV) -40.96359 -39.21669 -38.09696 -36.66071 -34.88227 -34.23617 -32.20520 -32.02837 -29.87174 -28.86248 -28.10040 -27.70024 -27.64747 -25.68373 -24.17295 -23.12827 -21.84778 -20.73912 -19.74532 -19.51485 -19.31087 -17.97672 -17.20446 -16.83557 -16.57436 -15.69461 -15.26374 -15.21866 -14.92946 -14.71497 -14.30715 -14.14181 -13.94997 -13.60698 -13.43066 -13.29145 -12.84442 -12.77978 -12.57714 -12.45854 -12.37762 -12.17733 -12.15907 -12.06977 -11.75758 -11.64530 -11.51545 -11.34265 -11.29933 -11.21079 -10.91756 -10.82938 -10.70544 -10.60144 -10.47706 -10.42021 -10.26999 -10.18196 -9.86989 -9.23755 -8.86617 -8.61264 -8.07606 -7.63407 -6.24692 -4.32393 1.92405 2.70802 3.18934 3.27950 3.31824 3.71236 4.23293 4.33181 4.43175 4.47372 4.55929 4.61634 4.75474 4.94332 5.05162 5.14970 5.16614 5.24285 5.24797 5.29981 5.39083 5.43603 5.48838 5.53979 5.57373 5.61903 5.68305 5.69835 5.73272 5.86757 5.91858 6.00161 6.01820 6.02130 6.07333 6.09223 6.16463 6.19532 6.28309 6.35504 6.45401 6.65940 6.84747 7.04836 7.34630 7.41868 7.45219 7.59999 7.75063 7.81294 8.12206 8.19580 8.69995 9.36976 9.59743 10.82475 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.032979 B = 0.001909 C = 0.001878 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 848.827823 B =14660.982642 C =14903.744395 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.183 4.183 2 C 0.135 3.865 3 C -0.140 4.140 4 C -0.183 4.183 5 O -0.362 6.362 6 C 0.666 3.334 7 O -0.571 6.571 8 N -0.602 5.602 9 C 0.100 3.900 10 C -0.113 4.113 11 C -0.091 4.091 12 H 0.088 0.912 13 C 0.060 3.940 14 N -0.524 5.524 15 C 0.044 3.956 16 C -0.148 4.148 17 C 0.253 3.747 18 O -0.581 6.581 19 C -0.535 4.535 20 H 0.062 0.938 21 C 0.070 3.930 22 N -0.897 5.897 23 Si 0.900 3.100 24 H -0.272 1.272 25 H -0.282 1.282 26 H -0.283 1.283 27 C 0.059 3.941 28 C 0.130 3.870 29 H 0.059 0.941 30 H 0.069 0.931 31 H 0.087 0.913 32 H 0.066 0.934 33 H 0.079 0.921 34 H 0.066 0.934 35 H 0.088 0.912 36 H 0.069 0.931 37 H 0.059 0.941 38 H 0.078 0.922 39 H 0.069 0.931 40 H 0.093 0.907 41 H 0.077 0.923 42 H 0.070 0.930 43 H 0.036 0.964 44 H 0.064 0.936 45 H 0.036 0.964 46 H 0.073 0.927 47 H 0.054 0.946 48 H 0.382 0.618 49 H 0.267 0.733 50 H 0.045 0.955 51 H 0.071 0.929 52 H 0.072 0.928 53 H 0.070 0.930 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.460 19.596 -13.009 24.147 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 -0.240 4.240 2 C 0.098 3.902 3 C -0.197 4.197 4 C -0.240 4.240 5 O -0.277 6.277 6 C 0.422 3.578 7 O -0.460 6.460 8 N -0.343 5.343 9 C -0.022 4.022 10 C -0.151 4.151 11 C -0.111 4.111 12 H 0.106 0.894 13 C -0.069 4.069 14 N -0.247 5.247 15 C -0.083 4.083 16 C -0.187 4.187 17 C 0.212 3.788 18 O -0.390 6.390 19 C -0.574 4.574 20 H 0.080 0.920 21 C -0.132 4.132 22 N -0.537 5.537 23 Si 0.728 3.272 24 H -0.197 1.197 25 H -0.208 1.208 26 H -0.209 1.209 27 C -0.068 4.068 28 C 0.008 3.992 29 H 0.078 0.922 30 H 0.088 0.912 31 H 0.106 0.894 32 H 0.085 0.915 33 H 0.098 0.902 34 H 0.085 0.915 35 H 0.106 0.894 36 H 0.088 0.912 37 H 0.078 0.922 38 H 0.096 0.904 39 H 0.087 0.913 40 H 0.112 0.888 41 H 0.096 0.904 42 H 0.089 0.911 43 H 0.054 0.946 44 H 0.083 0.917 45 H 0.054 0.946 46 H 0.092 0.908 47 H 0.073 0.927 48 H 0.233 0.767 49 H 0.077 0.923 50 H 0.063 0.937 51 H 0.089 0.911 52 H 0.090 0.910 53 H 0.088 0.912 Dipole moment (debyes) X Y Z Total from point charges -5.289 20.327 -13.526 24.982 hybrid contribution -0.643 -2.085 0.072 2.183 sum -5.933 18.242 -13.454 23.431 Atomic orbital electron populations 1.22512 0.94046 1.05080 1.02382 1.22064 0.94362 0.91518 0.82221 1.21850 1.02274 0.92522 1.03060 1.22515 1.01577 1.03539 0.96413 1.86310 1.71549 1.23537 1.46263 1.17477 0.78802 0.80387 0.81164 1.90893 1.41591 1.70555 1.43006 1.47182 1.53127 1.12758 1.21261 1.22465 0.93431 0.97504 0.88824 1.22730 0.97344 0.92592 1.02462 1.22226 0.97172 0.95794 0.95880 0.89378 1.22198 0.98025 0.93693 0.92964 1.63536 1.17948 1.36781 1.06484 1.22845 0.91708 0.98439 0.95326 1.23282 1.00991 0.92874 1.01556 1.19495 0.85706 0.89855 0.83751 1.86100 1.69417 1.60210 1.23283 1.21628 1.46327 0.92816 0.96609 0.92016 1.25007 0.93765 0.99304 0.95105 1.69592 1.47489 1.35918 1.00727 0.86411 0.78060 0.84371 0.78397 1.19678 1.20762 1.20911 1.22996 0.96534 0.89067 0.98207 1.21964 1.00127 0.79314 0.97748 0.92217 0.91203 0.89380 0.91456 0.90184 0.91480 0.89371 0.91201 0.92171 0.90376 0.91277 0.88832 0.90437 0.91107 0.94625 0.91735 0.94550 0.90848 0.92716 0.76700 0.92276 0.93654 0.91073 0.90998 0.91212 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 -0.18 -1.67 8.37 37.16 0.31 -1.36 16 2 C 0.14 1.27 1.13 -90.62 -0.10 1.17 16 3 C -0.14 -0.92 8.85 37.16 0.33 -0.59 16 4 C -0.18 -1.69 8.37 37.16 0.31 -1.38 16 5 O -0.36 -4.26 9.42 -40.33 -0.38 -4.64 16 6 C 0.67 8.91 7.93 54.05 0.43 9.34 16 7 O -0.57 -8.69 12.21 -19.27 -0.24 -8.92 16 8 N -0.60 -7.33 3.33 -176.30 -0.59 -7.91 16 9 C 0.10 1.01 6.92 -2.53 -0.02 1.00 16 10 C -0.11 -1.23 6.46 -24.58 -0.16 -1.39 16 11 C -0.09 -1.08 2.98 -88.78 -0.26 -1.35 16 12 H 0.09 1.07 7.45 -51.93 -0.39 0.68 16 13 C 0.06 0.86 3.87 -3.82 -0.01 0.85 16 14 N -0.52 -9.35 5.05 -231.24 -1.17 -10.52 16 15 C 0.04 0.82 6.20 -2.83 -0.02 0.80 16 16 C -0.15 -3.30 5.63 -24.91 -0.14 -3.44 16 17 C 0.25 6.13 0.89 -89.63 -0.08 6.05 16 18 O -0.58 -15.05 13.18 -35.23 -0.46 -15.52 16 19 C -0.54 -14.09 8.25 -34.44 -0.28 -14.37 16 20 H 0.06 1.62 7.77 -52.49 -0.41 1.21 16 21 C 0.07 1.83 5.29 -17.82 -0.09 1.74 16 22 N -0.90 -23.65 10.77 55.43 0.60 -23.06 16 23 Si 0.90 20.41 29.54 -169.99 -5.02 15.38 16 24 H -0.27 -6.14 7.11 56.52 0.40 -5.74 16 25 H -0.28 -6.38 7.11 56.52 0.40 -5.98 16 26 H -0.28 -6.39 7.11 56.52 0.40 -5.99 16 27 C 0.06 1.23 5.82 -2.30 -0.01 1.22 16 28 C 0.13 1.54 6.47 -3.06 -0.02 1.52 16 29 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 30 H 0.07 0.49 8.14 -51.92 -0.42 0.07 16 31 H 0.09 1.03 5.88 -51.93 -0.31 0.72 16 32 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 33 H 0.08 0.38 8.14 -51.93 -0.42 -0.04 16 34 H 0.07 0.43 8.14 -51.93 -0.42 0.00 16 35 H 0.09 1.04 5.88 -51.93 -0.31 0.73 16 36 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 37 H 0.06 0.54 8.14 -51.93 -0.42 0.11 16 38 H 0.08 0.74 8.04 -51.93 -0.42 0.32 16 39 H 0.07 0.65 8.14 -51.93 -0.42 0.22 16 40 H 0.09 1.04 8.14 -51.92 -0.42 0.62 16 41 H 0.08 0.88 7.94 -51.93 -0.41 0.47 16 42 H 0.07 0.98 7.86 -51.93 -0.41 0.57 16 43 H 0.04 0.52 7.81 -51.93 -0.41 0.11 16 44 H 0.06 1.19 8.14 -51.93 -0.42 0.77 16 45 H 0.04 0.60 7.21 -51.93 -0.37 0.22 16 46 H 0.07 1.75 7.83 -51.93 -0.41 1.34 16 47 H 0.05 1.24 8.03 -51.93 -0.42 0.83 16 48 H 0.38 10.11 6.94 45.56 0.32 10.43 16 49 H 0.27 6.72 8.31 -40.82 -0.34 6.39 16 50 H 0.05 0.92 7.68 -51.93 -0.40 0.52 16 51 H 0.07 1.52 8.14 -51.93 -0.42 1.09 16 52 H 0.07 0.87 7.82 -51.93 -0.41 0.47 16 53 H 0.07 0.82 8.14 -51.93 -0.42 0.39 16 LS Contribution 408.38 15.07 6.15 6.15 Total: -1.00 -28.65 408.38 -9.87 -38.52 By element: Atomic # 1 Polarization: 19.67 SS G_CDS: -8.94 Total: 10.72 kcal Atomic # 6 Polarization: -0.39 SS G_CDS: 0.17 Total: -0.21 kcal Atomic # 7 Polarization: -40.33 SS G_CDS: -1.16 Total: -41.49 kcal Atomic # 8 Polarization: -28.00 SS G_CDS: -1.08 Total: -29.08 kcal Atomic # 14 Polarization: 20.41 SS G_CDS: -5.02 Total: 15.38 kcal Total LS contribution 6.15 Total: 6.15 kcal Total: -28.65 -9.87 -38.52 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. ZINC000829975022.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 -87.682 kcal (2) G-P(sol) polarization free energy of solvation -28.651 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -116.334 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.874 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.525 kcal (6) G-S(sol) free energy of system = (1) + (5) -126.207 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.82 seconds