Wall clock time and date at job start Sat Apr 11 2020 06:12:31 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 H 1.09001 * 109.46822 * 2 1 4 4 C 1.50700 * 109.47348 * 239.99705 * 2 1 3 5 5 H 1.07997 * 120.00317 * 245.62390 * 4 2 1 6 6 C 1.37880 * 119.99840 * 65.63059 * 4 2 1 7 7 N 1.31510 * 119.99985 * 197.51088 * 6 4 2 8 8 Si 1.86805 * 120.00129 * 17.50740 * 6 4 2 9 9 H 1.48497 * 109.47073 * 180.02562 * 8 6 4 10 10 H 1.48501 * 109.47126 * 300.00378 * 8 6 4 11 11 H 1.48501 * 109.47003 * 60.00063 * 8 6 4 12 12 N 1.46501 * 109.47268 * 119.99940 * 2 1 3 13 13 C 1.34778 * 119.99901 * 275.00711 * 12 2 1 14 14 O 1.21283 * 120.00260 * 359.97438 * 13 12 2 15 15 C 1.50704 * 120.00051 * 179.97438 * 13 12 2 16 16 C 1.52999 * 109.46894 * 179.97438 * 15 13 12 17 17 H 1.09002 * 110.43789 * 307.54014 * 16 15 13 18 18 C 1.54884 * 110.48699 * 70.22802 * 16 15 13 19 19 C 1.54891 * 102.75086 * 156.62172 * 18 16 15 20 20 C 1.54270 * 104.19299 * 322.05280 * 19 18 16 21 21 H 1.08996 * 110.03467 * 142.89895 * 20 19 18 22 22 N 1.46496 * 110.03345 * 264.33266 * 20 19 18 23 23 C 1.34784 * 119.99720 * 272.16684 * 22 20 19 24 24 O 1.21508 * 119.99734 * 359.97438 * 23 22 20 25 25 O 1.34635 * 120.00009 * 180.02562 * 23 22 20 26 26 C 1.45206 * 116.99793 * 179.97438 * 25 23 22 27 27 C 1.53005 * 109.46904 * 60.00062 * 26 25 23 28 28 C 1.53001 * 109.46743 * 179.97438 * 26 25 23 29 29 C 1.52995 * 109.47238 * 299.99595 * 26 25 23 30 30 C 1.53877 * 106.59672 * 23.61259 * 20 19 18 31 31 H 1.09000 * 109.46734 * 66.34942 * 1 2 3 32 32 H 1.09003 * 109.46882 * 186.34096 * 1 2 3 33 33 H 1.08992 * 109.47576 * 306.34181 * 1 2 3 34 34 H 0.97001 * 119.99984 * 354.88323 * 7 6 4 35 35 H 0.96994 * 120.00239 * 94.99613 * 12 2 1 36 36 H 1.08995 * 109.46936 * 299.99839 * 15 13 12 37 37 H 1.09005 * 109.46795 * 59.99596 * 15 13 12 38 38 H 1.09009 * 110.75550 * 274.93236 * 18 16 15 39 39 H 1.08999 * 110.76137 * 38.30308 * 18 16 15 40 40 H 1.09004 * 110.48324 * 203.37967 * 19 18 16 41 41 H 1.08993 * 110.49249 * 80.73111 * 19 18 16 42 42 H 0.96995 * 120.00678 * 92.16355 * 22 20 19 43 43 H 1.08990 * 109.47577 * 59.99789 * 27 26 25 44 44 H 1.09002 * 109.46526 * 180.02562 * 27 26 25 45 45 H 1.09000 * 109.46810 * 299.99602 * 27 26 25 46 46 H 1.09006 * 109.46830 * 60.00675 * 28 26 25 47 47 H 1.09002 * 109.46837 * 179.97438 * 28 26 25 48 48 H 1.08990 * 109.47550 * 300.00095 * 28 26 25 49 49 H 1.09000 * 109.47164 * 59.99977 * 29 26 25 50 50 H 1.08996 * 109.47311 * 179.97438 * 29 26 25 51 51 H 1.09000 * 109.47310 * 300.00425 * 29 26 25 52 52 H 1.09001 * 110.03368 * 240.71357 * 30 20 19 53 53 H 1.08994 * 110.07580 * 119.30831 * 30 20 19 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 1 1.8933 1.0277 0.0000 4 6 2.0324 -0.7105 -1.2304 5 1 2.5763 -1.6384 -1.1339 6 6 1.7977 -0.1756 -2.4794 7 7 1.9163 -0.9295 -3.5504 8 14 1.3111 1.6198 -2.6503 9 1 1.1169 1.9455 -4.0860 10 1 0.0452 1.8620 -1.9126 11 1 2.3838 2.4790 -2.0879 12 7 2.0183 -0.6906 1.1962 13 6 2.1469 -0.0182 2.3572 14 8 1.8588 1.1586 2.4116 15 6 2.6488 -0.7288 3.5878 16 6 2.7008 0.2546 4.7588 17 1 3.2622 1.1469 4.4819 18 6 1.2692 0.6311 5.2145 19 6 1.4843 1.0805 6.6811 20 6 2.5552 0.1100 7.2209 21 1 3.2322 0.6373 7.8929 22 7 1.9142 -1.0032 7.9252 23 6 1.6251 -0.8934 9.2371 24 8 1.8966 0.1286 9.8356 25 8 1.0365 -1.9167 9.8846 26 6 0.7550 -1.7285 11.2967 27 6 -0.1848 -0.5343 11.4746 28 6 0.0903 -2.9879 11.8563 29 6 2.0623 -1.4651 12.0466 30 6 3.3286 -0.4151 5.9987 31 1 -0.3633 0.4123 -0.9414 32 1 -0.3633 -1.0214 0.1135 33 1 -0.3634 0.6089 0.8277 34 1 2.2403 -1.8402 -3.4690 35 1 2.2490 -1.6317 1.1527 36 1 1.9759 -1.5506 3.8326 37 1 3.6480 -1.1213 3.3986 38 1 0.8753 1.4506 4.6132 39 1 0.6089 -0.2350 5.1689 40 1 0.5595 0.9827 7.2496 41 1 1.8479 2.1074 6.7160 42 1 1.6978 -1.8191 7.4476 43 1 -1.1160 -0.7220 10.9403 44 1 -0.3957 -0.3929 12.5346 45 1 0.2885 0.3630 11.0758 46 1 0.7596 -3.8389 11.7295 47 1 -0.1206 -2.8468 12.9164 48 1 -0.8410 -3.1752 11.3220 49 1 2.5355 -0.5678 11.6478 50 1 1.8509 -1.3234 13.1065 51 1 2.7318 -2.3158 11.9198 52 1 3.2271 -1.4982 5.9296 53 1 4.3812 -0.1433 6.0770 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 ZINC001362266635.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 06:12:31 Heat of formation + Delta-G solvation = -146.449455 kcal Electronic energy + Delta-G solvation = -30151.015202 eV Core-core repulsion = 26021.702419 eV Total energy + Delta-G solvation = -4129.312784 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.89 seconds Orbital eigenvalues (eV) -41.08656 -39.63033 -38.51500 -36.96261 -35.02233 -34.59926 -33.71010 -32.45823 -31.01942 -29.43074 -28.55233 -27.77743 -27.72334 -25.64724 -24.76562 -23.03208 -21.32513 -20.50091 -20.37444 -19.74399 -19.49066 -18.39897 -17.80803 -17.00425 -16.56325 -16.28150 -15.78184 -15.52810 -15.27147 -14.83237 -14.63413 -14.55004 -14.05683 -13.81298 -13.53948 -13.38088 -12.95079 -12.86259 -12.67703 -12.64615 -12.43531 -12.26069 -12.25259 -12.13206 -12.03931 -11.85927 -11.69487 -11.62720 -11.44947 -11.32630 -11.14216 -11.05930 -10.70772 -10.67801 -10.55400 -10.48181 -10.27559 -10.03882 -9.80110 -9.37700 -9.14903 -9.06174 -8.32863 -8.15698 -6.59346 -4.22695 1.91984 2.60910 3.27881 3.37989 3.43821 3.58841 3.84642 3.98241 4.34349 4.35579 4.39544 4.40824 4.49705 4.54007 4.74357 5.09612 5.10646 5.15800 5.17252 5.18847 5.24225 5.28466 5.30763 5.32085 5.40364 5.42605 5.49769 5.50840 5.60616 5.62616 5.67875 5.71986 5.81675 5.93554 5.94897 6.00593 6.02620 6.22811 6.28409 6.36551 6.38977 6.44699 6.55573 6.68004 6.96778 7.18619 7.29655 7.41338 7.66552 8.15486 8.22219 8.49957 8.70436 9.00651 9.46286 10.81207 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.028903 B = 0.001798 C = 0.001783 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 968.531805 B =15571.136441 C =15696.598969 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.159 4.159 2 C 0.241 3.759 3 H 0.040 0.960 4 C -0.617 4.617 5 H 0.060 0.940 6 C 0.038 3.962 7 N -0.898 5.898 8 Si 1.043 2.957 9 H -0.284 1.284 10 H -0.272 1.272 11 H -0.280 1.280 12 N -0.705 5.705 13 C 0.500 3.500 14 O -0.555 6.555 15 C -0.136 4.136 16 C -0.073 4.073 17 H 0.088 0.912 18 C -0.116 4.116 19 C -0.134 4.134 20 C 0.158 3.842 21 H 0.093 0.907 22 N -0.702 5.702 23 C 0.649 3.351 24 O -0.569 6.569 25 O -0.367 6.367 26 C 0.136 3.864 27 C -0.184 4.184 28 C -0.141 4.141 29 C -0.183 4.183 30 C -0.128 4.128 31 H 0.061 0.939 32 H 0.042 0.958 33 H 0.029 0.971 34 H 0.268 0.732 35 H 0.392 0.608 36 H 0.087 0.913 37 H 0.088 0.912 38 H 0.082 0.918 39 H 0.061 0.939 40 H 0.067 0.933 41 H 0.077 0.923 42 H 0.404 0.596 43 H 0.059 0.941 44 H 0.069 0.931 45 H 0.088 0.912 46 H 0.066 0.934 47 H 0.080 0.920 48 H 0.067 0.933 49 H 0.088 0.912 50 H 0.069 0.931 51 H 0.059 0.941 52 H 0.075 0.925 53 H 0.079 0.921 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -0.628 -3.984 30.110 30.378 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 -0.218 4.218 2 C 0.137 3.863 3 H 0.058 0.942 4 C -0.655 4.655 5 H 0.079 0.921 6 C -0.169 4.169 7 N -0.531 5.531 8 Si 0.871 3.129 9 H -0.209 1.209 10 H -0.198 1.198 11 H -0.206 1.206 12 N -0.353 5.353 13 C 0.285 3.715 14 O -0.435 6.435 15 C -0.176 4.176 16 C -0.092 4.092 17 H 0.106 0.894 18 C -0.154 4.154 19 C -0.173 4.173 20 C 0.055 3.945 21 H 0.111 0.889 22 N -0.361 5.361 23 C 0.402 3.598 24 O -0.458 6.458 25 O -0.282 6.282 26 C 0.100 3.900 27 C -0.241 4.241 28 C -0.198 4.198 29 C -0.240 4.240 30 C -0.166 4.166 31 H 0.080 0.920 32 H 0.061 0.939 33 H 0.048 0.952 34 H 0.078 0.922 35 H 0.225 0.775 36 H 0.105 0.895 37 H 0.107 0.893 38 H 0.101 0.899 39 H 0.080 0.920 40 H 0.086 0.914 41 H 0.096 0.904 42 H 0.240 0.760 43 H 0.078 0.922 44 H 0.088 0.912 45 H 0.107 0.893 46 H 0.085 0.915 47 H 0.098 0.902 48 H 0.086 0.914 49 H 0.107 0.893 50 H 0.088 0.912 51 H 0.078 0.922 52 H 0.093 0.907 53 H 0.098 0.902 Dipole moment (debyes) X Y Z Total from point charges -1.178 -1.521 29.374 29.437 hybrid contribution 0.499 -2.218 0.876 2.436 sum -0.679 -3.739 30.250 30.487 Atomic orbital electron populations 1.22486 0.98992 0.99987 1.00311 1.18973 0.90485 0.94161 0.82646 0.94225 1.22081 1.41741 1.10505 0.91207 0.92145 1.25698 0.94273 1.05126 0.91779 1.70882 1.40990 1.09833 1.31404 0.84066 0.77624 0.75090 0.76160 1.20926 1.19773 1.20638 1.46313 1.65204 1.13687 1.10112 1.20533 0.78482 0.87624 0.84815 1.90628 1.51431 1.16155 1.85258 1.21757 1.02771 0.99218 0.93870 1.21724 0.97161 0.98210 0.92138 0.89355 1.22577 0.96135 1.01845 0.94798 1.22816 0.98710 0.99127 0.96626 1.21657 0.93977 0.85962 0.92916 0.88877 1.45043 1.64320 1.20158 1.06609 1.18147 0.77028 0.81806 0.82818 1.90894 1.57899 1.30343 1.66702 1.86307 1.73823 1.42021 1.26024 1.22058 0.95678 0.96713 0.75595 1.22516 0.99338 0.99383 1.02848 1.21864 1.01145 0.95873 1.00942 1.22513 0.96764 1.04068 1.00688 1.22569 0.99830 1.00958 0.93213 0.92031 0.93855 0.95226 0.92152 0.77538 0.89481 0.89337 0.89906 0.91993 0.91421 0.90439 0.76038 0.92158 0.91186 0.89325 0.91485 0.90156 0.91434 0.89348 0.91184 0.92218 0.90664 0.90249 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 -0.16 -3.59 9.16 37.16 0.34 -3.25 16 2 C 0.24 5.74 2.14 -69.08 -0.15 5.59 16 3 H 0.04 1.03 6.23 -51.93 -0.32 0.71 16 4 C -0.62 -16.60 9.00 -34.44 -0.31 -16.91 16 5 H 0.06 1.69 7.96 -52.49 -0.42 1.28 16 6 C 0.04 1.06 5.29 -17.82 -0.09 0.96 16 7 N -0.90 -26.63 13.70 55.43 0.76 -25.87 16 8 Si 1.04 25.10 26.29 -169.99 -4.47 20.63 16 9 H -0.28 -6.80 7.11 56.52 0.40 -6.39 16 10 H -0.27 -6.13 5.76 56.52 0.33 -5.81 16 11 H -0.28 -6.60 7.11 56.52 0.40 -6.19 16 12 N -0.71 -13.79 5.07 -54.93 -0.28 -14.07 16 13 C 0.50 8.89 7.61 -10.98 -0.08 8.81 16 14 O -0.56 -11.77 14.39 5.56 0.08 -11.69 16 15 C -0.14 -1.62 5.05 -27.88 -0.14 -1.76 16 16 C -0.07 -0.81 2.45 -88.96 -0.22 -1.03 16 17 H 0.09 1.13 7.90 -51.93 -0.41 0.72 16 18 C -0.12 -1.35 5.75 -24.74 -0.14 -1.49 16 19 C -0.13 -1.39 6.54 -25.07 -0.16 -1.55 16 20 C 0.16 1.45 3.25 -66.81 -0.22 1.24 16 21 H 0.09 0.94 7.56 -51.93 -0.39 0.54 16 22 N -0.70 -6.30 5.03 -57.63 -0.29 -6.59 16 23 C 0.65 7.09 8.05 54.06 0.44 7.52 16 24 O -0.57 -7.39 11.54 -19.28 -0.22 -7.61 16 25 O -0.37 -3.67 9.94 -40.31 -0.40 -4.07 16 26 C 0.14 1.12 1.13 -90.62 -0.10 1.02 16 27 C -0.18 -1.51 8.37 37.16 0.31 -1.20 16 28 C -0.14 -0.81 8.85 37.16 0.33 -0.48 16 29 C -0.18 -1.45 8.37 37.16 0.31 -1.14 16 30 C -0.13 -1.05 6.14 -25.61 -0.16 -1.21 16 31 H 0.06 1.43 4.88 -51.93 -0.25 1.18 16 32 H 0.04 0.92 8.14 -51.93 -0.42 0.50 16 33 H 0.03 0.63 8.14 -51.93 -0.42 0.20 16 34 H 0.27 7.87 8.73 -40.82 -0.36 7.51 16 35 H 0.39 6.78 8.53 -40.82 -0.35 6.43 16 36 H 0.09 0.87 8.02 -51.93 -0.42 0.46 16 37 H 0.09 0.92 8.14 -51.93 -0.42 0.50 16 38 H 0.08 1.19 7.29 -51.92 -0.38 0.81 16 39 H 0.06 0.69 7.97 -51.93 -0.41 0.28 16 40 H 0.07 0.75 8.04 -51.93 -0.42 0.33 16 41 H 0.08 0.80 8.14 -51.93 -0.42 0.38 16 42 H 0.40 2.91 8.43 -40.82 -0.34 2.57 16 43 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 44 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 45 H 0.09 0.94 5.88 -51.93 -0.31 0.63 16 46 H 0.07 0.37 8.14 -51.93 -0.42 -0.05 16 47 H 0.08 0.33 8.14 -51.93 -0.42 -0.10 16 48 H 0.07 0.38 8.14 -51.93 -0.42 -0.04 16 49 H 0.09 0.90 5.88 -51.93 -0.31 0.60 16 50 H 0.07 0.43 8.14 -51.93 -0.42 0.00 16 51 H 0.06 0.45 8.14 -51.93 -0.42 0.02 16 52 H 0.07 0.52 7.31 -51.93 -0.38 0.14 16 53 H 0.08 0.60 8.14 -51.93 -0.42 0.17 16 LS Contribution 411.40 15.07 6.20 6.20 Total: -1.00 -32.43 411.40 -8.08 -40.51 By element: Atomic # 1 Polarization: 16.85 SS G_CDS: -9.41 Total: 7.45 kcal Atomic # 6 Polarization: -4.83 SS G_CDS: -0.05 Total: -4.88 kcal Atomic # 7 Polarization: -46.72 SS G_CDS: 0.19 Total: -46.53 kcal Atomic # 8 Polarization: -22.83 SS G_CDS: -0.54 Total: -23.38 kcal Atomic # 14 Polarization: 25.10 SS G_CDS: -4.47 Total: 20.63 kcal Total LS contribution 6.20 Total: 6.20 kcal Total: -32.43 -8.08 -40.51 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. ZINC001362266635.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 -105.939 kcal (2) G-P(sol) polarization free energy of solvation -32.431 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -138.369 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.080 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.511 kcal (6) G-S(sol) free energy of system = (1) + (5) -146.449 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.89 seconds