Wall clock time and date at job start Sat Apr 11 2020 06:11:15 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 1.53001 * 1 3 3 C 1.53005 * 109.46850 * 2 1 4 4 H 1.08996 * 109.47246 * 182.76819 * 3 2 1 5 5 C 1.50698 * 109.47300 * 62.76204 * 3 2 1 6 6 H 1.07993 * 120.00604 * 242.68392 * 5 3 2 7 7 C 1.37879 * 119.99783 * 62.68344 * 5 3 2 8 8 N 1.31515 * 120.00187 * 195.35200 * 7 5 3 9 9 Si 1.86807 * 119.99998 * 15.08145 * 7 5 3 10 10 H 1.48503 * 109.47000 * 95.26594 * 9 7 5 11 11 H 1.48493 * 109.47485 * 215.26744 * 9 7 5 12 12 H 1.48503 * 109.46733 * 335.26986 * 9 7 5 13 13 N 1.46905 * 109.47218 * 302.76520 * 3 2 1 14 14 C 1.46848 * 110.99856 * 304.80268 * 13 3 2 15 15 C 1.53041 * 109.59697 * 173.92166 * 14 13 3 16 16 C 1.53171 * 109.23830 * 59.44516 * 15 14 13 17 17 C 1.52858 * 109.14964 * 302.81456 * 16 15 14 18 18 C 1.53862 * 109.72228 * 177.78770 * 17 16 15 19 19 C 1.54871 * 104.09099 * 121.40461 * 18 17 16 20 20 H 1.09001 * 110.90508 * 262.66502 * 19 18 17 21 21 O 1.42894 * 110.90599 * 139.05936 * 19 18 17 22 22 C 1.42899 * 114.00111 * 149.99893 * 21 19 18 23 23 C 1.50697 * 109.47434 * 180.02562 * 22 21 19 24 24 O 1.21289 * 119.99940 * 359.97438 * 23 22 21 25 25 N 1.34780 * 120.00129 * 180.02562 * 23 22 21 26 26 C 1.46500 * 119.99866 * 180.02562 * 25 23 22 27 27 C 1.55015 * 102.09746 * 20.86169 * 19 18 17 28 28 O 1.43503 * 109.85593 * 295.84225 * 17 16 15 29 29 C 1.46896 * 111.00096 * 180.62854 * 13 3 2 30 30 H 1.08999 * 109.46471 * 183.88319 * 1 2 3 31 31 H 1.08999 * 109.47362 * 303.88306 * 1 2 3 32 32 H 1.08998 * 109.47048 * 63.88544 * 1 2 3 33 33 H 1.09002 * 109.47111 * 240.00372 * 2 1 3 34 34 H 1.08995 * 109.47531 * 119.99603 * 2 1 3 35 35 H 0.97001 * 119.99730 * 179.72352 * 8 7 5 36 36 H 1.08996 * 109.44817 * 293.96115 * 14 13 3 37 37 H 1.09006 * 109.44924 * 53.88499 * 14 13 3 38 38 H 1.08999 * 109.50769 * 299.51567 * 15 14 13 39 39 H 1.09003 * 109.51010 * 179.37527 * 15 14 13 40 40 H 1.09004 * 109.52601 * 182.91504 * 16 15 14 41 41 H 1.08993 * 109.58326 * 62.74536 * 16 15 14 42 42 H 1.08994 * 110.50548 * 240.05982 * 18 17 16 43 43 H 1.09004 * 110.49806 * 2.61850 * 18 17 16 44 44 H 1.09004 * 109.47068 * 300.00446 * 22 21 19 45 45 H 1.09005 * 109.47189 * 60.00187 * 22 21 19 46 46 H 0.96997 * 119.99679 * 359.97438 * 25 23 22 47 47 H 1.09001 * 109.47646 * 59.99384 * 26 25 23 48 48 H 1.09001 * 109.46892 * 179.97438 * 26 25 23 49 49 H 1.09004 * 109.47033 * 299.99129 * 26 25 23 50 50 H 1.08998 * 110.61223 * 81.63647 * 27 19 18 51 51 H 1.09004 * 110.60836 * 204.45808 * 27 19 18 52 52 H 1.09001 * 109.46324 * 305.32114 * 29 13 3 53 53 H 1.08999 * 109.46812 * 65.29502 * 29 13 3 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 1.4426 0.0000 4 1 3.1288 1.4430 -0.0496 5 6 1.5943 2.1329 1.2632 6 1 0.9346 2.9862 1.2084 7 6 2.0288 1.6751 2.4891 8 7 1.4225 2.0648 3.5892 9 14 3.4739 0.4955 2.5869 10 1 4.7221 1.2612 2.8340 11 1 3.2545 -0.4653 3.6977 12 1 3.5941 -0.2472 1.3065 13 7 1.4965 2.1541 -1.1647 14 6 1.8153 1.4450 -2.4104 15 6 1.1093 2.1272 -3.5845 16 6 1.5759 3.5831 -3.6770 17 6 1.2915 4.2861 -2.3498 18 6 1.8056 5.7351 -2.4090 19 6 0.5453 6.5937 -2.1387 20 1 0.1068 6.9455 -3.0726 21 8 0.8512 7.6908 -1.2758 22 6 0.0387 8.8459 -1.4939 23 6 0.4461 9.9349 -0.5352 24 8 1.3436 9.7408 0.2572 25 7 -0.1876 11.1242 -0.5576 26 6 0.2088 12.1831 0.3740 27 6 -0.3930 5.5806 -1.4342 28 8 -0.1240 4.3379 -2.1192 29 6 1.9778 3.5414 -1.2058 30 1 -0.3632 -1.0253 0.0696 31 1 -0.3634 0.5729 0.8531 32 1 -0.3633 0.4523 -0.9227 33 1 1.8933 -0.5138 -0.8900 34 1 1.8934 -0.5137 0.8900 35 1 1.7256 1.7395 4.4512 36 1 2.8928 1.4647 -2.5737 37 1 1.4787 0.4109 -2.3358 38 1 0.0312 2.0997 -3.4266 39 1 1.3558 1.6064 -4.5098 40 1 1.0377 4.0880 -4.4792 41 1 2.6460 3.6115 -3.8821 42 1 2.5565 5.9056 -1.6376 43 1 2.2155 5.9546 -3.3949 44 1 0.1713 9.1953 -2.5178 45 1 -1.0082 8.5900 -1.3300 46 1 -0.9056 11.2793 -1.1911 47 1 1.2554 12.4392 0.2091 48 1 -0.4110 13.0641 0.2077 49 1 0.0772 11.8340 1.3982 50 1 -0.1431 5.4977 -0.3765 51 1 -1.4357 5.8724 -1.5592 52 1 1.7466 4.0341 -0.2614 53 1 3.0562 3.5472 -1.3639 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 ZINC001255168586.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 06:11:15 Heat of formation + Delta-G solvation = -108.046444 kcal Electronic energy + Delta-G solvation = -31841.538595 eV Core-core repulsion = 27713.891091 eV Total energy + Delta-G solvation = -4127.647504 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.15 seconds Orbital eigenvalues (eV) -40.32120 -39.75547 -37.91924 -36.72055 -34.82862 -34.28213 -31.96493 -31.45309 -30.87112 -29.87755 -28.67234 -26.85689 -25.78663 -25.44684 -23.88018 -22.59611 -21.69053 -21.18296 -20.88586 -19.42633 -18.72480 -17.73558 -17.29974 -16.35256 -16.24215 -15.93559 -15.82543 -15.38426 -14.97692 -14.70159 -14.44060 -14.26525 -14.08733 -13.81871 -13.41839 -13.14325 -12.98195 -12.92625 -12.64731 -12.61785 -12.47060 -12.41963 -12.29802 -12.07046 -11.82253 -11.51941 -11.18159 -11.11545 -10.86138 -10.76094 -10.58948 -10.40719 -10.21312 -10.01911 -10.00048 -9.97246 -9.86030 -9.63897 -9.44250 -9.23088 -8.94733 -8.84961 -8.33694 -7.13273 -5.99628 -3.91437 2.39669 2.56024 3.33076 3.42610 3.45276 3.65989 4.25278 4.43250 4.49916 4.59465 4.72416 4.80087 4.87643 4.90566 4.91447 5.02060 5.14035 5.21195 5.24983 5.32307 5.40103 5.48932 5.50224 5.69989 5.80406 5.88210 5.97610 6.00065 6.04173 6.05751 6.11518 6.15021 6.19611 6.22312 6.31383 6.36330 6.50695 6.56925 6.69484 6.81749 6.88682 6.89574 7.06718 7.16367 7.19694 7.27797 7.36254 7.63167 7.81278 7.98053 8.10127 8.22826 8.77910 9.13061 9.66706 11.13195 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011429 B = 0.003275 C = 0.002733 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2449.256095 B = 8548.445779 C =10242.541720 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.125 4.125 2 C -0.116 4.116 3 C 0.191 3.809 4 H -0.012 1.012 5 C -0.499 4.499 6 H 0.081 0.919 7 C 0.076 3.924 8 N -0.891 5.891 9 Si 0.857 3.143 10 H -0.284 1.284 11 H -0.288 1.288 12 H -0.255 1.255 13 N -0.506 5.506 14 C 0.047 3.953 15 C -0.110 4.110 16 C -0.108 4.108 17 C 0.113 3.887 18 C -0.145 4.145 19 C 0.056 3.944 20 H 0.077 0.923 21 O -0.344 6.344 22 C 0.043 3.957 23 C 0.510 3.490 24 O -0.509 6.509 25 N -0.739 5.739 26 C 0.089 3.911 27 C 0.028 3.972 28 O -0.337 6.337 29 C 0.056 3.944 30 H 0.018 0.982 31 H 0.070 0.930 32 H 0.051 0.949 33 H 0.027 0.973 34 H 0.052 0.948 35 H 0.261 0.739 36 H 0.016 0.984 37 H 0.075 0.925 38 H 0.076 0.924 39 H 0.055 0.945 40 H 0.063 0.937 41 H 0.067 0.933 42 H 0.093 0.907 43 H 0.080 0.920 44 H 0.079 0.921 45 H 0.081 0.919 46 H 0.401 0.599 47 H 0.060 0.940 48 H 0.076 0.924 49 H 0.061 0.939 50 H 0.077 0.923 51 H 0.087 0.913 52 H 0.095 0.905 53 H 0.025 0.975 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.709 14.825 -16.405 22.607 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 -0.182 4.182 2 C -0.154 4.154 3 C 0.083 3.917 4 H 0.006 0.994 5 C -0.537 4.537 6 H 0.099 0.901 7 C -0.126 4.126 8 N -0.529 5.529 9 Si 0.684 3.316 10 H -0.211 1.211 11 H -0.214 1.214 12 H -0.179 1.179 13 N -0.230 5.230 14 C -0.082 4.082 15 C -0.148 4.148 16 C -0.146 4.146 17 C 0.073 3.927 18 C -0.183 4.183 19 C -0.003 4.003 20 H 0.095 0.905 21 O -0.262 6.262 22 C -0.037 4.037 23 C 0.295 3.705 24 O -0.382 6.382 25 N -0.393 5.393 26 C -0.055 4.055 27 C -0.050 4.050 28 O -0.255 6.255 29 C -0.073 4.073 30 H 0.037 0.963 31 H 0.089 0.911 32 H 0.070 0.930 33 H 0.046 0.954 34 H 0.071 0.929 35 H 0.071 0.929 36 H 0.034 0.966 37 H 0.093 0.907 38 H 0.094 0.906 39 H 0.074 0.926 40 H 0.081 0.919 41 H 0.085 0.915 42 H 0.111 0.889 43 H 0.099 0.901 44 H 0.097 0.903 45 H 0.099 0.901 46 H 0.235 0.765 47 H 0.078 0.922 48 H 0.094 0.906 49 H 0.080 0.920 50 H 0.095 0.905 51 H 0.105 0.895 52 H 0.113 0.887 53 H 0.043 0.957 Dipole moment (debyes) X Y Z Total from point charges -4.540 14.470 -15.459 21.656 hybrid contribution 1.323 -0.310 -0.199 1.373 sum -3.218 14.160 -15.659 21.355 Atomic orbital electron populations 1.21483 0.95547 0.98107 1.03067 1.21941 0.97200 0.97702 0.98518 1.19628 0.91609 0.90938 0.89489 0.99444 1.20827 1.29601 1.15566 0.87743 0.90148 1.24840 0.96239 0.95776 0.95735 1.69970 1.39244 1.45672 0.98035 0.87331 0.84233 0.81758 0.78252 1.21051 1.21398 1.17905 1.61771 1.59473 1.00542 1.01235 1.22162 0.96337 0.98753 0.90939 1.21511 1.01946 0.94308 0.97064 1.21677 1.00627 0.96811 0.95485 1.21918 0.82426 0.92852 0.95487 1.23032 0.98037 0.93890 1.03376 1.23834 0.96590 0.87098 0.92751 0.90532 1.88112 1.57797 1.21244 1.59082 1.22231 0.96233 0.87139 0.98093 1.20380 0.82523 0.82922 0.84708 1.90790 1.29023 1.80184 1.38218 1.45671 1.39499 1.14025 1.40141 1.21540 1.00983 0.89296 0.93678 1.23940 0.98857 0.83896 0.98284 1.88967 1.21809 1.37590 1.77176 1.22380 0.95042 0.91011 0.98824 0.96257 0.91071 0.93008 0.95408 0.92936 0.92863 0.96634 0.90700 0.90555 0.92597 0.91866 0.91487 0.88854 0.90119 0.90297 0.90064 0.76528 0.92154 0.90558 0.91982 0.90477 0.89465 0.88719 0.95659 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -0.12 -2.69 9.42 37.16 0.35 -2.34 16 2 C -0.12 -2.60 4.41 -26.73 -0.12 -2.72 16 3 C 0.19 4.57 1.31 -68.86 -0.09 4.48 16 4 H -0.01 -0.30 6.90 -51.93 -0.36 -0.65 16 5 C -0.50 -13.93 7.07 -34.44 -0.24 -14.18 16 6 H 0.08 2.48 7.10 -52.49 -0.37 2.11 16 7 C 0.08 2.20 5.34 -17.82 -0.10 2.10 16 8 N -0.89 -27.37 13.96 55.43 0.77 -26.60 16 9 Si 0.86 21.63 25.74 -169.99 -4.38 17.26 16 10 H -0.28 -7.21 7.11 56.52 0.40 -6.81 16 11 H -0.29 -7.27 7.11 56.52 0.40 -6.87 16 12 H -0.25 -6.09 5.36 56.52 0.30 -5.78 16 13 N -0.51 -10.61 3.67 -228.19 -0.84 -11.45 16 14 C 0.05 0.82 4.86 -3.83 -0.02 0.80 16 15 C -0.11 -1.63 5.96 -26.62 -0.16 -1.78 16 16 C -0.11 -1.48 4.78 -26.72 -0.13 -1.61 16 17 C 0.11 1.79 0.74 -90.35 -0.07 1.73 16 18 C -0.15 -1.99 6.04 -25.30 -0.15 -2.14 16 19 C 0.06 0.70 3.63 -24.68 -0.09 0.61 16 20 H 0.08 0.74 7.83 -51.93 -0.41 0.34 16 21 O -0.34 -4.88 9.64 -55.14 -0.53 -5.41 16 22 C 0.04 0.41 6.25 36.00 0.23 0.64 16 23 C 0.51 5.98 7.91 -10.99 -0.09 5.90 16 24 O -0.51 -8.87 16.50 -14.36 -0.24 -9.11 16 25 N -0.74 -5.44 5.71 -67.07 -0.38 -5.82 16 26 C 0.09 0.60 10.70 59.85 0.64 1.24 16 27 C 0.03 0.41 7.39 38.22 0.28 0.70 16 28 O -0.34 -5.76 10.32 -35.23 -0.36 -6.13 16 29 C 0.06 1.11 3.94 -3.94 -0.02 1.09 16 30 H 0.02 0.36 8.14 -51.93 -0.42 -0.06 16 31 H 0.07 1.75 7.18 -51.93 -0.37 1.38 16 32 H 0.05 1.08 7.22 -51.93 -0.37 0.70 16 33 H 0.03 0.56 6.37 -51.93 -0.33 0.23 16 34 H 0.05 1.24 4.65 -51.93 -0.24 1.00 16 35 H 0.26 7.60 8.31 -40.82 -0.34 7.26 16 36 H 0.02 0.27 8.14 -51.93 -0.42 -0.15 16 37 H 0.07 1.32 5.66 -51.93 -0.29 1.03 16 38 H 0.08 1.23 7.87 -51.93 -0.41 0.82 16 39 H 0.06 0.69 8.14 -51.93 -0.42 0.27 16 40 H 0.06 0.75 8.14 -51.93 -0.42 0.33 16 41 H 0.07 0.85 8.14 -51.93 -0.42 0.42 16 42 H 0.09 1.43 7.62 -51.93 -0.40 1.04 16 43 H 0.08 0.90 7.69 -51.93 -0.40 0.50 16 44 H 0.08 0.51 8.12 -51.93 -0.42 0.08 16 45 H 0.08 0.59 8.14 -51.93 -0.42 0.16 16 46 H 0.40 1.42 8.83 -40.82 -0.36 1.06 16 47 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 48 H 0.08 0.25 8.14 -51.93 -0.42 -0.17 16 49 H 0.06 0.51 8.14 -51.93 -0.42 0.08 16 50 H 0.08 1.37 8.12 -51.93 -0.42 0.95 16 51 H 0.09 1.07 8.14 -51.93 -0.42 0.64 16 52 H 0.09 2.17 6.37 -51.93 -0.33 1.84 16 53 H 0.03 0.49 8.14 -51.93 -0.42 0.07 16 LS Contribution 400.25 15.07 6.03 6.03 Total: -1.00 -35.77 400.25 -9.06 -44.83 By element: Atomic # 1 Polarization: 11.25 SS G_CDS: -9.37 Total: 1.87 kcal Atomic # 6 Polarization: -5.71 SS G_CDS: 0.24 Total: -5.48 kcal Atomic # 7 Polarization: -43.43 SS G_CDS: -0.45 Total: -43.87 kcal Atomic # 8 Polarization: -19.51 SS G_CDS: -1.13 Total: -20.65 kcal Atomic # 14 Polarization: 21.63 SS G_CDS: -4.38 Total: 17.26 kcal Total LS contribution 6.03 Total: 6.03 kcal Total: -35.77 -9.06 -44.83 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. ZINC001255168586.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 -63.214 kcal (2) G-P(sol) polarization free energy of solvation -35.772 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -98.986 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.061 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.832 kcal (6) G-S(sol) free energy of system = (1) + (5) -108.046 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.15 seconds