Wall clock time and date at job start Tue Mar 31 2020 21:20:50 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 1.53007 * 1 3 3 C 1.53001 * 109.47183 * 2 1 4 4 H 1.08995 * 109.82410 * 54.42669 * 3 2 1 5 5 C 1.54375 * 109.90510 * 175.36826 * 3 2 1 6 6 C 1.55414 * 102.31301 * 140.84148 * 5 3 2 7 7 C 1.54951 * 100.89042 * 325.98690 * 6 5 3 8 8 H 1.09008 * 110.30774 * 277.36104 * 7 6 5 9 9 C 1.50692 * 110.30950 * 155.28864 * 7 6 5 10 10 O 1.21281 * 119.99875 * 246.38544 * 9 7 6 11 11 N 1.34772 * 120.00351 * 66.39459 * 9 7 6 12 12 C 1.48105 * 127.84995 * 179.97438 * 11 9 7 13 13 C 1.54320 * 104.71627 * 140.21785 * 12 11 9 14 14 C 1.53001 * 112.07193 * 146.94299 * 13 12 11 15 15 C 1.53757 * 109.08317 * 271.64184 * 13 12 11 16 16 N 1.47200 * 106.40394 * 93.19741 * 15 13 12 17 17 C 1.36938 * 126.70259 * 211.29495 * 16 15 13 18 18 H 1.07998 * 120.00147 * 15.00347 * 17 16 15 19 19 C 1.38813 * 119.99778 * 195.00646 * 17 16 15 20 20 N 1.31624 * 120.00328 * 8.82027 * 19 17 16 21 21 Si 1.86803 * 119.99875 * 188.82018 * 19 17 16 22 22 H 1.48504 * 109.46901 * 89.89967 * 21 19 17 23 23 H 1.48504 * 109.47303 * 209.89645 * 21 19 17 24 24 H 1.48501 * 109.46970 * 329.89888 * 21 19 17 25 25 C 1.47207 * 106.59283 * 31.55873 * 16 15 13 26 26 C 1.54028 * 106.26583 * 328.37065 * 25 16 15 27 27 C 1.53003 * 112.77196 * 141.67547 * 26 25 16 28 28 C 1.48110 * 127.84028 * 359.97438 * 11 9 7 29 29 O 1.43244 * 109.82643 * 293.54392 * 3 2 1 30 30 H 1.09000 * 109.46917 * 60.00501 * 1 2 3 31 31 H 1.08997 * 109.46993 * 180.02562 * 1 2 3 32 32 H 1.08999 * 109.47000 * 300.00631 * 1 2 3 33 33 H 1.08999 * 109.47000 * 239.99368 * 2 1 3 34 34 H 1.09001 * 109.46444 * 119.99720 * 2 1 3 35 35 H 1.09004 * 110.84295 * 259.10024 * 5 3 2 36 36 H 1.09002 * 110.85326 * 22.51365 * 5 3 2 37 37 H 1.08995 * 111.21060 * 208.06184 * 6 5 3 38 38 H 1.08999 * 111.08697 * 83.86067 * 6 5 3 39 39 H 1.09000 * 110.38952 * 21.41425 * 12 11 9 40 40 H 1.08992 * 110.48938 * 259.07694 * 12 11 9 41 41 H 1.09006 * 109.46716 * 182.01070 * 14 13 12 42 42 H 1.08998 * 109.47684 * 302.01550 * 14 13 12 43 43 H 1.09008 * 109.46936 * 62.01911 * 14 13 12 44 44 H 1.09011 * 110.06915 * 333.96547 * 15 13 12 45 45 H 1.08999 * 110.07285 * 212.43663 * 15 13 12 46 46 H 0.97002 * 119.99924 * 180.02562 * 20 19 17 47 47 H 1.09002 * 110.06626 * 87.68360 * 25 16 15 48 48 H 1.09002 * 110.06793 * 209.21167 * 25 16 15 49 49 H 1.09004 * 109.46812 * 301.37848 * 27 26 25 50 50 H 1.08998 * 109.47111 * 61.38017 * 27 26 25 51 51 H 1.08998 * 109.47302 * 181.38271 * 27 26 25 52 52 H 1.09001 * 110.39643 * 338.59747 * 28 11 9 53 53 H 1.09005 * 110.39185 * 100.97975 * 28 11 9 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 1.5301 0.0000 0.0000 3 6 2.0401 1.4425 0.0000 4 1 1.6009 1.9898 0.8340 5 6 3.5793 1.4558 0.1172 6 6 3.9751 2.6097 -0.8457 7 6 2.8863 2.4653 -1.9387 8 1 3.1692 1.6938 -2.6549 9 6 2.6755 3.7803 -2.6438 10 8 1.6208 4.3679 -2.5285 11 7 3.6588 4.3034 -3.4026 12 6 3.6400 5.5722 -4.1664 13 6 5.0475 6.1720 -3.9648 14 6 5.5214 6.9519 -5.1929 15 6 5.0475 7.0386 -2.6948 16 7 5.4927 6.1659 -1.5961 17 6 5.1155 6.2471 -0.2822 18 1 4.2553 6.8374 -0.0028 19 6 5.8388 5.5708 0.6906 20 7 6.9815 4.9960 0.3805 21 14 5.1902 5.4764 2.4399 22 1 4.3361 4.2705 2.5867 23 1 6.3310 5.3932 3.3870 24 1 4.3880 6.6904 2.7366 25 6 6.4275 5.1929 -2.1845 26 6 5.9516 4.9572 -3.6303 27 6 7.1102 4.8098 -4.6186 28 6 5.0037 3.7398 -3.6621 29 8 1.6946 2.0800 -1.2354 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3633 -1.0276 0.0005 32 1 -0.3633 0.5139 0.8899 33 1 1.8934 -0.5139 -0.8899 34 1 1.8933 -0.5138 0.8901 35 1 3.8886 1.6786 1.1384 36 1 4.0020 0.5080 -0.2162 37 1 4.9710 2.4533 -1.2602 38 1 3.9062 3.5769 -0.3479 39 1 2.8802 6.2443 -3.7675 40 1 3.4575 5.3786 -5.2233 41 1 6.5305 7.3255 -5.0188 42 1 5.5220 6.2950 -6.0626 43 1 4.8491 7.7911 -5.3719 44 1 4.0419 7.4087 -2.4944 45 1 5.7377 7.8741 -2.8119 46 1 7.4867 4.5231 1.0603 47 1 7.4394 5.5981 -2.1827 48 1 6.3972 4.2587 -1.6237 49 1 7.7268 5.7082 -4.5922 50 1 7.7150 3.9458 -4.3432 51 1 6.7142 4.6703 -5.6245 52 1 5.2740 3.0276 -2.8825 53 1 5.0326 3.2614 -4.6411 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 ZINC000982291189.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 21:20:50 Heat of formation + Delta-G solvation = -54.606534 kcal Electronic energy + Delta-G solvation = -32929.739449 eV Core-core repulsion = 28994.865325 eV Total energy + Delta-G solvation = -3934.874124 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.32 seconds Orbital eigenvalues (eV) -40.55269 -39.45708 -37.65313 -34.66733 -33.50410 -33.08607 -31.88227 -31.57399 -30.74774 -28.81222 -26.65635 -25.84595 -25.69134 -24.94759 -23.76088 -22.23818 -21.56911 -20.75762 -19.95566 -19.06121 -17.80690 -17.27507 -16.73835 -16.01997 -15.59005 -15.48034 -15.07813 -14.63403 -14.01442 -13.96872 -13.85475 -13.63441 -13.46479 -13.28606 -13.10216 -12.97178 -12.79614 -12.74884 -12.18022 -12.07806 -11.85136 -11.66765 -11.58027 -11.49748 -11.40658 -11.35086 -11.22606 -10.90811 -10.87831 -10.82665 -10.73155 -10.48055 -10.46890 -10.08752 -10.05056 -9.81096 -9.71952 -9.62476 -9.56199 -8.98499 -8.67947 -8.18748 -6.80016 -5.80346 -3.11530 3.08042 3.15626 3.33814 3.41444 3.44125 4.15364 4.45492 4.63251 4.77702 4.81455 4.91885 5.06683 5.18353 5.19230 5.25314 5.28049 5.39698 5.41480 5.44116 5.51956 5.54505 5.55740 5.64974 5.71642 5.78769 5.85782 5.88317 5.94578 5.97150 5.98156 6.01283 6.06866 6.09819 6.12204 6.19193 6.30657 6.33686 6.35437 6.36748 6.42418 6.49447 6.53075 6.69231 6.71455 6.84417 6.93697 7.20331 7.34049 7.53640 7.72740 8.02524 8.22135 8.66849 9.15678 9.76160 10.49910 11.33234 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.009959 B = 0.005923 C = 0.004366 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2810.879223 B = 4726.015812 C = 6412.044349 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 -0.130 4.130 3 C 0.077 3.923 4 H 0.079 0.921 5 C -0.149 4.149 6 C -0.137 4.137 7 C 0.071 3.929 8 H 0.084 0.916 9 C 0.546 3.454 10 O -0.534 6.534 11 N -0.604 5.604 12 C 0.126 3.874 13 C -0.087 4.087 14 C -0.123 4.123 15 C 0.144 3.856 16 N -0.587 5.587 17 C -0.216 4.216 18 H 0.071 0.929 19 C 0.000 4.000 20 N -0.915 5.915 21 Si 0.896 3.104 22 H -0.287 1.287 23 H -0.291 1.291 24 H -0.281 1.281 25 C 0.184 3.816 26 C -0.098 4.098 27 C -0.122 4.122 28 C 0.112 3.888 29 O -0.349 6.349 30 H 0.062 0.938 31 H 0.049 0.951 32 H 0.052 0.948 33 H 0.065 0.935 34 H 0.070 0.930 35 H 0.083 0.917 36 H 0.075 0.925 37 H 0.092 0.908 38 H 0.104 0.896 39 H 0.077 0.923 40 H 0.060 0.940 41 H 0.061 0.939 42 H 0.054 0.946 43 H 0.052 0.948 44 H 0.040 0.960 45 H 0.018 0.982 46 H 0.252 0.748 47 H 0.022 0.978 48 H 0.075 0.925 49 H 0.060 0.940 50 H 0.054 0.946 51 H 0.050 0.950 52 H 0.080 0.920 53 H 0.060 0.940 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.166 -7.832 -8.678 11.889 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 -0.168 4.168 3 C 0.020 3.980 4 H 0.097 0.903 5 C -0.187 4.187 6 C -0.174 4.174 7 C 0.010 3.990 8 H 0.102 0.898 9 C 0.334 3.666 10 O -0.410 6.410 11 N -0.338 5.338 12 C 0.003 3.997 13 C -0.089 4.089 14 C -0.181 4.181 15 C 0.017 3.983 16 N -0.310 5.310 17 C -0.344 4.344 18 H 0.089 0.911 19 C -0.197 4.197 20 N -0.562 5.562 21 Si 0.727 3.273 22 H -0.214 1.214 23 H -0.217 1.217 24 H -0.207 1.207 25 C 0.058 3.942 26 C -0.100 4.100 27 C -0.180 4.180 28 C -0.011 4.011 29 O -0.267 6.267 30 H 0.081 0.919 31 H 0.068 0.932 32 H 0.071 0.929 33 H 0.084 0.916 34 H 0.088 0.912 35 H 0.102 0.898 36 H 0.094 0.906 37 H 0.110 0.890 38 H 0.122 0.878 39 H 0.096 0.904 40 H 0.078 0.922 41 H 0.080 0.920 42 H 0.073 0.927 43 H 0.072 0.928 44 H 0.059 0.941 45 H 0.035 0.965 46 H 0.062 0.938 47 H 0.040 0.960 48 H 0.093 0.907 49 H 0.079 0.921 50 H 0.073 0.927 51 H 0.069 0.931 52 H 0.099 0.901 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges -3.014 -7.614 -8.344 11.691 hybrid contribution 0.061 -0.077 1.116 1.120 sum -2.953 -7.691 -7.229 10.960 Atomic orbital electron populations 1.21708 0.95439 1.00976 1.02484 1.21893 0.96855 0.95891 1.02132 1.22839 0.94696 0.93060 0.87435 0.90266 1.23178 0.94669 0.99192 1.01651 1.23323 0.97932 1.01267 0.94908 1.22694 0.86956 0.93866 0.95494 0.89807 1.19834 0.82648 0.86413 0.77720 1.90666 1.26236 1.62247 1.61803 1.48481 1.14307 1.23002 1.47970 1.22282 0.97353 0.85713 0.94336 1.22325 0.93908 0.96067 0.96595 1.21614 1.01230 0.99226 0.96027 1.21375 0.97530 0.92334 0.87031 1.44284 1.51624 1.31837 1.03300 1.18942 1.07544 1.27014 0.80926 0.91130 1.24715 0.96015 1.01772 0.97218 1.69917 1.13470 1.40215 1.32611 0.86350 0.77752 0.78171 0.85026 1.21411 1.21743 1.20654 1.21215 0.91781 0.95274 0.85927 1.22621 0.94474 0.93071 0.99824 1.21599 0.97164 1.01881 0.97355 1.22591 0.81844 0.96550 1.00164 1.88492 1.27740 1.77705 1.32801 0.91905 0.93198 0.92910 0.91630 0.91159 0.89809 0.90617 0.89003 0.87759 0.90435 0.92191 0.92011 0.92710 0.92847 0.94146 0.96483 0.93800 0.95972 0.90654 0.92137 0.92685 0.93068 0.90137 0.92137 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 -1.75 9.82 37.16 0.37 -1.38 16 2 C -0.13 -1.57 5.51 -26.73 -0.15 -1.72 16 3 C 0.08 1.18 3.52 -26.01 -0.09 1.09 16 4 H 0.08 1.26 8.14 -51.93 -0.42 0.84 16 5 C -0.15 -2.22 6.55 -24.73 -0.16 -2.38 16 6 C -0.14 -2.42 5.96 -24.42 -0.15 -2.57 16 7 C 0.07 1.24 3.22 -26.86 -0.09 1.15 16 8 H 0.08 1.24 8.14 -51.92 -0.42 0.82 16 9 C 0.55 11.00 7.29 -10.99 -0.08 10.92 16 10 O -0.53 -12.78 16.81 -13.79 -0.23 -13.01 16 11 N -0.60 -10.74 3.31 -169.46 -0.56 -11.30 16 12 C 0.13 2.08 6.05 -2.47 -0.01 2.07 16 13 C -0.09 -1.39 1.08 -152.33 -0.16 -1.56 16 14 C -0.12 -1.55 7.54 37.16 0.28 -1.27 16 15 C 0.14 2.92 6.30 -3.27 -0.02 2.90 16 16 N -0.59 -13.95 3.38 -171.00 -0.58 -14.53 16 17 C -0.22 -5.75 10.28 -15.06 -0.15 -5.91 16 18 H 0.07 1.95 7.84 -52.49 -0.41 1.54 16 19 C 0.00 -0.01 5.39 -17.43 -0.09 -0.11 16 20 N -0.92 -24.76 10.87 55.49 0.60 -24.16 16 21 Si 0.90 21.50 29.56 -169.99 -5.03 16.48 16 22 H -0.29 -6.76 7.11 56.52 0.40 -6.36 16 23 H -0.29 -7.06 7.11 56.52 0.40 -6.66 16 24 H -0.28 -6.81 7.11 56.52 0.40 -6.40 16 25 C 0.18 3.93 4.72 -3.12 -0.01 3.92 16 26 C -0.10 -1.58 1.08 -152.18 -0.16 -1.74 16 27 C -0.12 -1.58 7.59 37.16 0.28 -1.30 16 28 C 0.11 1.71 5.83 -2.46 -0.01 1.69 16 29 O -0.35 -6.40 9.88 -54.57 -0.54 -6.94 16 30 H 0.06 0.83 7.88 -51.93 -0.41 0.42 16 31 H 0.05 0.49 8.14 -51.93 -0.42 0.07 16 32 H 0.05 0.61 8.14 -51.93 -0.42 0.18 16 33 H 0.06 0.76 8.14 -51.93 -0.42 0.34 16 34 H 0.07 0.73 8.14 -51.93 -0.42 0.31 16 35 H 0.08 1.28 8.14 -51.93 -0.42 0.86 16 36 H 0.08 0.94 7.85 -51.93 -0.41 0.53 16 37 H 0.09 1.57 5.93 -51.93 -0.31 1.26 16 38 H 0.10 2.32 8.05 -51.93 -0.42 1.90 16 39 H 0.08 1.44 7.16 -51.93 -0.37 1.06 16 40 H 0.06 0.85 7.97 -51.93 -0.41 0.44 16 41 H 0.06 0.78 7.20 -51.93 -0.37 0.41 16 42 H 0.05 0.59 7.21 -51.93 -0.37 0.22 16 43 H 0.05 0.62 8.14 -51.92 -0.42 0.20 16 44 H 0.04 0.86 7.38 -51.92 -0.38 0.47 16 45 H 0.02 0.36 7.89 -51.93 -0.41 -0.05 16 46 H 0.25 6.71 8.31 -40.82 -0.34 6.37 16 47 H 0.02 0.53 7.93 -51.93 -0.41 0.12 16 48 H 0.08 1.77 5.80 -51.93 -0.30 1.47 16 49 H 0.06 0.80 7.18 -51.93 -0.37 0.43 16 50 H 0.05 0.68 8.14 -51.93 -0.42 0.26 16 51 H 0.05 0.56 7.21 -51.93 -0.37 0.18 16 52 H 0.08 1.26 4.42 -51.93 -0.23 1.03 16 53 H 0.06 0.77 7.96 -51.93 -0.41 0.36 16 LS Contribution 397.32 15.07 5.99 5.99 Total: -1.00 -30.97 397.32 -10.10 -41.07 By element: Atomic # 1 Polarization: 11.92 SS G_CDS: -9.32 Total: 2.59 kcal Atomic # 6 Polarization: 4.23 SS G_CDS: -0.43 Total: 3.80 kcal Atomic # 7 Polarization: -49.44 SS G_CDS: -0.54 Total: -49.98 kcal Atomic # 8 Polarization: -19.18 SS G_CDS: -0.77 Total: -19.95 kcal Atomic # 14 Polarization: 21.50 SS G_CDS: -5.03 Total: 16.48 kcal Total LS contribution 5.99 Total: 5.99 kcal Total: -30.97 -10.10 -41.07 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. ZINC000982291189.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 -13.535 kcal (2) G-P(sol) polarization free energy of solvation -30.974 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -44.509 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.098 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.071 kcal (6) G-S(sol) free energy of system = (1) + (5) -54.607 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.32 seconds