Wall clock time and date at job start Tue Mar 31 2020 20:38:08 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 1.53002 * 1 3 3 C 1.53005 * 109.47071 * 2 1 4 4 H 1.08998 * 109.47176 * 56.01456 * 3 2 1 5 5 O 1.42903 * 109.46916 * 296.02124 * 3 2 1 6 6 C 1.42894 * 113.99975 * 151.38281 * 5 3 2 7 7 C 1.54273 * 110.03336 * 269.50162 * 6 5 3 8 8 C 1.54879 * 104.19678 * 217.10729 * 7 6 5 9 9 C 1.54891 * 102.75205 * 37.94079 * 8 7 6 10 10 C 1.53873 * 110.03289 * 152.33864 * 6 5 3 11 11 C 1.50697 * 109.47201 * 176.01845 * 3 2 1 12 12 O 1.21284 * 120.00013 * 115.00056 * 11 3 2 13 13 N 1.34771 * 120.00153 * 295.00255 * 11 3 2 14 14 C 1.46499 * 120.00248 * 180.02562 * 13 11 3 15 15 C 1.53000 * 109.47444 * 179.97438 * 14 13 11 16 16 H 1.09004 * 115.51354 * 29.57676 * 15 14 13 17 17 C 1.53005 * 117.44133 * 244.23837 * 15 14 13 18 18 H 1.08999 * 119.53480 * 4.11812 * 17 15 14 19 19 C 1.54390 * 118.12205 * 160.80543 * 17 15 14 20 20 N 1.48148 * 104.61581 * 87.18968 * 19 17 15 21 21 C 1.36936 * 127.83377 * 140.41345 * 20 19 17 22 22 H 1.07996 * 120.00209 * 344.12531 * 21 20 19 23 23 C 1.38811 * 119.99466 * 164.12278 * 21 20 19 24 24 N 1.31619 * 120.00393 * 350.55223 * 23 21 20 25 25 Si 1.86803 * 119.99659 * 170.54520 * 23 21 20 26 26 H 1.48499 * 109.47342 * 60.00545 * 25 23 21 27 27 H 1.48506 * 109.46922 * 179.97438 * 25 23 21 28 28 H 1.48493 * 109.47346 * 300.00109 * 25 23 21 29 29 C 1.51828 * 104.54948 * 320.14154 * 20 19 17 30 30 C 1.52995 * 117.44357 * 174.99950 * 15 14 13 31 31 H 1.09003 * 119.54049 * 355.87469 * 30 15 14 32 32 H 1.08999 * 109.47378 * 57.29266 * 1 2 3 33 33 H 1.09007 * 109.46843 * 177.28979 * 1 2 3 34 34 H 1.08998 * 109.46899 * 297.28792 * 1 2 3 35 35 H 1.09000 * 109.47444 * 119.99868 * 2 1 3 36 36 H 1.09000 * 109.46951 * 240.00541 * 2 1 3 37 37 H 1.08999 * 110.01776 * 30.94314 * 6 5 3 38 38 H 1.08999 * 110.48240 * 335.78941 * 7 6 5 39 39 H 1.08998 * 110.48272 * 98.42520 * 7 6 5 40 40 H 1.09005 * 110.75651 * 279.62659 * 8 7 6 41 41 H 1.09001 * 110.75564 * 156.25643 * 8 7 6 42 42 H 1.09003 * 110.48342 * 203.37880 * 9 8 7 43 43 H 1.08999 * 110.48393 * 80.73700 * 9 8 7 44 44 H 1.09004 * 110.03315 * 238.56676 * 10 6 5 45 45 H 1.09001 * 110.03749 * 359.97438 * 10 6 5 46 46 H 0.96998 * 119.99777 * 359.97438 * 13 11 3 47 47 H 1.09010 * 109.46776 * 299.99315 * 14 13 11 48 48 H 1.08992 * 109.47533 * 59.99349 * 14 13 11 49 49 H 1.08995 * 110.40450 * 205.97255 * 19 17 15 50 50 H 1.08995 * 110.40502 * 328.40805 * 19 17 15 51 51 H 0.97005 * 120.00213 * 180.02562 * 24 23 21 52 52 H 1.09009 * 111.95122 * 281.18879 * 29 20 19 53 53 H 1.08997 * 110.52931 * 157.60365 * 29 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 6 2.0400 1.4425 0.0000 4 1 1.6196 1.9766 0.8521 5 8 1.6415 2.0886 -1.2107 6 6 1.4678 3.5014 -1.0856 7 6 0.0086 3.8225 -0.7013 8 6 -0.3125 5.1216 -1.4812 9 6 0.4159 4.8995 -2.8300 10 6 1.7267 4.1862 -2.4391 11 6 3.5438 1.4437 0.0987 12 8 4.2115 1.8660 -0.8216 13 7 4.1466 0.9756 1.2094 14 6 5.6084 0.9772 1.3055 15 6 6.0313 0.3988 2.6574 16 1 5.3525 -0.3388 3.0856 17 6 6.7597 1.3320 3.6268 18 1 6.8950 2.3810 3.3634 19 6 6.7962 0.9447 5.1209 20 7 7.9842 0.0692 5.2512 21 6 8.8953 0.0364 6.2729 22 1 8.9482 0.8547 6.9757 23 6 9.7508 -1.0487 6.4052 24 7 9.5672 -2.1250 5.6704 25 14 11.1630 -0.9811 7.6262 26 1 10.6245 -0.7799 8.9954 27 1 11.9222 -2.2564 7.5760 28 1 12.0646 0.1464 7.2783 29 6 7.9633 -0.7909 4.0002 30 6 7.5289 0.2063 2.9046 31 1 8.2372 0.4167 2.1033 32 1 -0.3634 0.5553 -0.8647 33 1 -0.3633 -1.0266 -0.0486 34 1 -0.3633 0.4711 0.9133 35 1 1.8934 -0.5138 0.8900 36 1 1.8933 -0.5138 -0.8900 37 1 2.1488 3.8957 -0.3314 38 1 -0.6545 3.0159 -1.0140 39 1 -0.0747 3.9915 0.3723 40 1 0.0900 5.9924 -0.9636 41 1 -1.3868 5.2244 -1.6347 42 1 0.6297 5.8546 -3.3098 43 1 -0.1815 4.2669 -3.4865 44 1 2.5327 4.9135 -2.3415 45 1 1.9852 3.4410 -3.1913 46 1 3.6125 0.6382 1.9455 47 1 6.0260 0.3689 0.5031 48 1 5.9773 1.9989 1.2165 49 1 6.9092 1.8336 5.7413 50 1 5.8918 0.4014 5.3948 51 1 10.1649 -2.8835 5.7631 52 1 7.2444 -1.6066 4.0785 53 1 8.9589 -1.1798 3.7871 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 ZINC001282878479.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 20:38:08 Heat of formation + Delta-G solvation = -43.460675 kcal Electronic energy + Delta-G solvation = -29198.661609 eV Core-core repulsion = 25264.270805 eV Total energy + Delta-G solvation = -3934.390803 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.08 seconds Orbital eigenvalues (eV) -40.37806 -39.03548 -38.43608 -36.42267 -34.95271 -33.69746 -33.08057 -30.80764 -29.04564 -28.67705 -27.80758 -27.15009 -26.35779 -24.59268 -22.35955 -21.23161 -21.13016 -20.69610 -20.60079 -19.78681 -19.19873 -17.65026 -17.42185 -16.80008 -16.21809 -15.90150 -15.24878 -15.12645 -14.87468 -14.52258 -14.35498 -14.17810 -13.99133 -13.66385 -13.59896 -13.09772 -12.88547 -12.71278 -12.67217 -12.52413 -12.21778 -12.06661 -11.84299 -11.49469 -11.42843 -11.39281 -11.25292 -11.20243 -11.11271 -10.95878 -10.82769 -10.79479 -10.69068 -10.48641 -10.35900 -10.16675 -9.70014 -9.53365 -9.36612 -9.09867 -8.96633 -8.66306 -6.88596 -5.80497 -3.13671 2.49758 2.92523 3.37983 3.42572 3.42930 3.43958 4.11274 4.22622 4.26357 4.44868 4.48654 4.54540 4.61738 4.67641 4.87151 4.89768 4.98505 5.13164 5.13472 5.20865 5.25703 5.30246 5.33185 5.34549 5.43347 5.44681 5.48743 5.51180 5.55994 5.63137 5.68099 5.73402 5.74023 5.84550 5.87519 5.89568 5.91989 5.92669 5.97660 5.99510 6.20499 6.33192 6.53569 6.63864 6.67495 6.88335 6.89650 7.28835 7.43624 7.49464 7.68413 8.13717 8.14009 9.05072 9.71959 10.49000 11.34641 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.024930 B = 0.001848 C = 0.001808 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1122.854574 B =15148.219077 C =15484.914642 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.149 4.149 2 C -0.116 4.116 3 C 0.076 3.924 4 H 0.084 0.916 5 O -0.345 6.345 6 C 0.085 3.915 7 C -0.149 4.149 8 C -0.124 4.124 9 C -0.123 4.123 10 C -0.120 4.120 11 C 0.485 3.515 12 O -0.528 6.528 13 N -0.722 5.722 14 C 0.154 3.846 15 C -0.152 4.152 16 H 0.103 0.897 17 C -0.169 4.169 18 H 0.102 0.898 19 C 0.157 3.843 20 N -0.599 5.599 21 C -0.226 4.226 22 H 0.075 0.925 23 C -0.007 4.007 24 N -0.917 5.917 25 Si 0.912 3.088 26 H -0.284 1.284 27 H -0.290 1.290 28 H -0.285 1.285 29 C 0.184 3.816 30 C -0.160 4.160 31 H 0.102 0.898 32 H 0.064 0.936 33 H 0.059 0.941 34 H 0.054 0.946 35 H 0.081 0.919 36 H 0.078 0.922 37 H 0.061 0.939 38 H 0.078 0.922 39 H 0.065 0.935 40 H 0.067 0.933 41 H 0.068 0.932 42 H 0.066 0.934 43 H 0.067 0.933 44 H 0.071 0.929 45 H 0.080 0.920 46 H 0.401 0.599 47 H 0.070 0.930 48 H 0.066 0.934 49 H 0.049 0.951 50 H 0.022 0.978 51 H 0.255 0.745 52 H 0.030 0.970 53 H 0.089 0.911 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -21.962 9.711 -14.060 27.827 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 -0.206 4.206 2 C -0.154 4.154 3 C 0.014 3.986 4 H 0.102 0.898 5 O -0.262 6.262 6 C 0.028 3.972 7 C -0.187 4.187 8 C -0.161 4.161 9 C -0.161 4.161 10 C -0.157 4.157 11 C 0.270 3.730 12 O -0.403 6.403 13 N -0.376 5.376 14 C 0.031 3.969 15 C -0.171 4.171 16 H 0.121 0.879 17 C -0.189 4.189 18 H 0.120 0.880 19 C 0.031 3.969 20 N -0.324 5.324 21 C -0.354 4.354 22 H 0.093 0.907 23 C -0.204 4.204 24 N -0.563 5.563 25 Si 0.742 3.258 26 H -0.210 1.210 27 H -0.215 1.215 28 H -0.211 1.211 29 C 0.060 3.940 30 C -0.181 4.181 31 H 0.120 0.880 32 H 0.083 0.917 33 H 0.078 0.922 34 H 0.073 0.927 35 H 0.100 0.900 36 H 0.096 0.904 37 H 0.080 0.920 38 H 0.097 0.903 39 H 0.084 0.916 40 H 0.086 0.914 41 H 0.087 0.913 42 H 0.085 0.915 43 H 0.086 0.914 44 H 0.090 0.910 45 H 0.099 0.901 46 H 0.235 0.765 47 H 0.089 0.911 48 H 0.084 0.916 49 H 0.068 0.932 50 H 0.040 0.960 51 H 0.065 0.935 52 H 0.048 0.952 53 H 0.107 0.893 Dipole moment (debyes) X Y Z Total from point charges -21.277 9.778 -14.777 27.689 hybrid contribution 0.669 -0.018 1.261 1.427 sum -20.608 9.760 -13.516 26.507 Atomic orbital electron populations 1.21730 0.94397 1.02158 1.02334 1.21584 0.97344 0.92761 1.03712 1.22097 0.90476 0.96354 0.89673 0.89780 1.88052 1.87130 1.19906 1.31140 1.22853 0.95246 0.81026 0.98111 1.22954 0.97054 0.98546 1.00114 1.22433 1.00353 0.97287 0.96052 1.22354 0.96228 1.00271 0.97249 1.22158 0.97725 0.99331 0.96508 1.21424 0.91214 0.77960 0.82414 1.90714 1.66124 1.45694 1.37804 1.46109 1.08143 1.64523 1.18826 1.20873 0.78926 1.00886 0.96191 1.22548 0.96770 1.02576 0.95164 0.87917 1.24004 1.04856 0.95060 0.94978 0.87961 1.21080 0.90687 0.94306 0.90864 1.46085 1.25299 1.40699 1.20339 1.18959 1.09963 1.01784 1.04731 0.90687 1.24876 1.00665 0.95142 0.99670 1.69879 1.38926 1.04518 1.43002 0.86204 0.82115 0.76808 0.80656 1.21042 1.21548 1.21109 1.21692 1.01006 0.89526 0.81754 1.24132 0.90973 1.01834 1.01120 0.87980 0.91723 0.92217 0.92714 0.90005 0.90371 0.92034 0.90300 0.91577 0.91394 0.91337 0.91501 0.91403 0.91021 0.90145 0.76489 0.91142 0.91555 0.93218 0.96023 0.93531 0.95182 0.89315 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -0.97 9.83 37.16 0.37 -0.60 16 2 C -0.12 -0.91 5.61 -26.73 -0.15 -1.06 16 3 C 0.08 0.72 2.35 -27.88 -0.07 0.66 16 4 H 0.08 0.64 7.84 -51.93 -0.41 0.23 16 5 O -0.34 -3.79 8.53 -55.09 -0.47 -4.26 16 6 C 0.09 0.81 3.14 -25.61 -0.08 0.73 16 7 C -0.15 -1.07 6.54 -25.07 -0.16 -1.23 16 8 C -0.12 -0.79 6.91 -24.74 -0.17 -0.96 16 9 C -0.12 -0.86 6.83 -25.07 -0.17 -1.03 16 10 C -0.12 -1.09 6.61 -25.62 -0.17 -1.26 16 11 C 0.48 6.11 7.07 -10.99 -0.08 6.03 16 12 O -0.53 -8.88 16.50 -14.31 -0.24 -9.12 16 13 N -0.72 -8.12 5.47 -60.30 -0.33 -8.45 16 14 C 0.15 2.07 5.95 -4.04 -0.02 2.04 16 15 C -0.15 -2.25 5.38 -90.62 -0.49 -2.74 16 16 H 0.10 1.50 8.04 -51.93 -0.42 1.08 16 17 C -0.17 -2.91 6.74 -89.22 -0.60 -3.52 16 18 H 0.10 1.64 8.12 -51.93 -0.42 1.22 16 19 C 0.16 3.21 7.05 -2.41 -0.02 3.20 16 20 N -0.60 -15.21 3.45 -165.71 -0.57 -15.78 16 21 C -0.23 -6.27 10.36 -15.06 -0.16 -6.43 16 22 H 0.08 2.01 7.85 -52.49 -0.41 1.60 16 23 C -0.01 -0.18 5.41 -17.43 -0.09 -0.28 16 24 N -0.92 -26.68 10.89 55.49 0.60 -26.08 16 25 Si 0.91 21.88 29.56 -169.99 -5.03 16.85 16 26 H -0.28 -6.70 7.11 56.52 0.40 -6.29 16 27 H -0.29 -6.99 7.11 56.52 0.40 -6.59 16 28 H -0.28 -6.75 7.11 56.52 0.40 -6.35 16 29 C 0.18 4.34 5.90 -0.29 0.00 4.34 16 30 C -0.16 -2.97 6.76 -89.22 -0.60 -3.57 16 31 H 0.10 1.81 8.14 -51.93 -0.42 1.39 16 32 H 0.06 0.47 7.72 -51.93 -0.40 0.07 16 33 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 34 H 0.05 0.31 8.14 -51.93 -0.42 -0.12 16 35 H 0.08 0.53 7.80 -51.93 -0.40 0.13 16 36 H 0.08 0.71 8.14 -51.93 -0.42 0.29 16 37 H 0.06 0.62 7.82 -51.93 -0.41 0.22 16 38 H 0.08 0.57 8.08 -51.93 -0.42 0.15 16 39 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 40 H 0.07 0.41 8.14 -51.93 -0.42 -0.01 16 41 H 0.07 0.37 8.14 -51.93 -0.42 -0.05 16 42 H 0.07 0.41 8.14 -51.93 -0.42 -0.02 16 43 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 44 H 0.07 0.65 8.14 -51.93 -0.42 0.22 16 45 H 0.08 0.83 7.96 -51.93 -0.41 0.42 16 46 H 0.40 3.49 8.12 -40.82 -0.33 3.16 16 47 H 0.07 1.00 8.14 -51.92 -0.42 0.58 16 48 H 0.07 0.94 7.93 -51.93 -0.41 0.53 16 49 H 0.05 0.98 8.14 -51.93 -0.42 0.56 16 50 H 0.02 0.44 8.14 -51.93 -0.42 0.02 16 51 H 0.25 7.19 8.31 -40.82 -0.34 6.85 16 52 H 0.03 0.73 8.14 -51.92 -0.42 0.31 16 53 H 0.09 2.34 6.65 -51.93 -0.35 1.99 16 LS Contribution 420.40 15.07 6.34 6.34 Total: -1.00 -32.44 420.40 -12.21 -44.65 By element: Atomic # 1 Polarization: 11.40 SS G_CDS: -9.84 Total: 1.55 kcal Atomic # 6 Polarization: -3.02 SS G_CDS: -2.67 Total: -5.69 kcal Atomic # 7 Polarization: -50.02 SS G_CDS: -0.30 Total: -50.31 kcal Atomic # 8 Polarization: -12.68 SS G_CDS: -0.71 Total: -13.38 kcal Atomic # 14 Polarization: 21.88 SS G_CDS: -5.03 Total: 16.85 kcal Total LS contribution 6.34 Total: 6.34 kcal Total: -32.44 -12.21 -44.65 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. ZINC001282878479.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 1.187 kcal (2) G-P(sol) polarization free energy of solvation -32.440 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -31.253 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -12.207 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.648 kcal (6) G-S(sol) free energy of system = (1) + (5) -43.461 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.08 seconds