Wall clock time and date at job start Sat Apr 11 2020 06:11:27 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 N 1.46499 * 1 3 3 C 1.34784 * 119.99893 * 2 1 4 4 O 1.21274 * 119.99897 * 179.73022 * 3 2 1 5 5 C 1.50695 * 119.99635 * 0.02562 * 3 2 1 6 6 C 1.53002 * 109.47004 * 179.97438 * 5 3 2 7 7 C 1.52997 * 109.47542 * 179.97438 * 6 5 3 8 8 O 1.42896 * 109.47504 * 180.02562 * 7 6 5 9 9 C 1.42897 * 114.00089 * 180.02562 * 8 7 6 10 10 C 1.53182 * 109.54545 * 269.82221 * 9 8 7 11 11 C 1.53101 * 109.15761 * 183.24348 * 10 9 8 12 12 O 1.42902 * 109.48857 * 57.47421 * 11 10 9 13 13 C 1.42900 * 114.09519 * 298.88815 * 12 11 10 14 14 C 1.53086 * 109.41937 * 61.15894 * 13 12 11 15 15 C 1.46499 * 120.00136 * 180.02562 * 2 1 3 16 16 H 1.09001 * 110.64006 * 181.68779 * 15 2 1 17 17 C 1.55154 * 110.71884 * 305.01816 * 15 2 1 18 18 C 1.54917 * 101.57751 * 153.86547 * 17 15 2 19 19 N 1.47425 * 104.83492 * 322.99379 * 18 17 15 20 20 C 1.36935 * 125.64641 * 204.09417 * 19 18 17 21 21 H 1.08002 * 119.99683 * 180.02562 * 20 19 18 22 22 C 1.38811 * 120.00156 * 0.04132 * 20 19 18 23 23 N 1.31616 * 120.00144 * 359.97438 * 22 20 19 24 24 Si 1.86800 * 119.99667 * 180.02562 * 22 20 19 25 25 H 1.48499 * 109.47356 * 359.97438 * 24 22 20 26 26 H 1.48503 * 109.47200 * 119.99838 * 24 22 20 27 27 H 1.48504 * 109.46959 * 239.99367 * 24 22 20 28 28 C 1.47018 * 108.70256 * 24.12750 * 19 18 17 29 29 H 1.08996 * 109.47008 * 90.00348 * 1 2 3 30 30 H 1.08997 * 109.46865 * 210.00034 * 1 2 3 31 31 H 1.08998 * 109.47058 * 329.99547 * 1 2 3 32 32 H 1.09005 * 109.47403 * 300.00056 * 5 3 2 33 33 H 1.09002 * 109.47422 * 60.00295 * 5 3 2 34 34 H 1.08997 * 109.47244 * 300.00535 * 6 5 3 35 35 H 1.09002 * 109.46787 * 59.99910 * 6 5 3 36 36 H 1.08997 * 109.47365 * 300.00556 * 7 6 5 37 37 H 1.09004 * 109.46747 * 59.99765 * 7 6 5 38 38 H 1.09003 * 109.54636 * 30.00048 * 9 8 7 39 39 H 1.09000 * 109.51617 * 303.06024 * 10 9 8 40 40 H 1.08996 * 109.51714 * 63.24574 * 10 9 8 41 41 H 1.09004 * 109.40266 * 297.48959 * 11 10 9 42 42 H 1.09003 * 109.49161 * 177.51106 * 11 10 9 43 43 H 1.09005 * 109.48401 * 301.17414 * 13 12 11 44 44 H 1.09008 * 109.48850 * 181.15008 * 13 12 11 45 45 H 1.08997 * 109.52642 * 182.48202 * 14 13 12 46 46 H 1.09001 * 109.57266 * 62.32142 * 14 13 12 47 47 H 1.08998 * 111.00910 * 271.93746 * 17 15 2 48 48 H 1.08996 * 111.00503 * 35.79667 * 17 15 2 49 49 H 1.08997 * 110.36545 * 204.15242 * 18 17 15 50 50 H 1.09003 * 110.45983 * 81.87887 * 18 17 15 51 51 H 0.96996 * 120.00386 * 180.02562 * 23 22 20 52 52 H 1.09003 * 109.88279 * 239.52902 * 28 19 18 53 53 H 1.09003 * 109.88384 * 118.35991 * 28 19 18 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 7 1.4650 0.0000 0.0000 3 6 2.1389 1.1673 0.0000 4 8 3.3516 1.1673 0.0049 5 6 1.3853 2.4723 0.0006 6 6 2.3795 3.6353 0.0011 7 6 1.6145 4.9603 0.0011 8 8 2.5430 6.0465 0.0009 9 6 1.9284 7.3365 0.0015 10 6 1.7115 7.8014 -1.4419 11 6 1.1278 9.2168 -1.4315 12 8 2.0086 10.0905 -0.7223 13 6 2.2097 9.7313 0.6461 14 6 2.8389 8.3376 0.7193 15 6 2.1975 -1.2687 -0.0006 16 1 3.2726 -1.0916 0.0296 17 6 1.7508 -2.1610 1.1875 18 6 2.0639 -3.5785 0.6467 19 7 1.7325 -3.5166 -0.7885 20 6 1.4005 -4.5854 -1.5777 21 1 1.1738 -4.4350 -2.6229 22 6 1.3549 -5.8618 -1.0342 23 7 1.6313 -6.0451 0.2395 24 14 0.9026 -7.3197 -2.1110 25 1 0.6396 -6.8502 -3.4950 26 1 2.0241 -8.2932 -2.1228 27 1 -0.3158 -7.9748 -1.5710 28 6 1.8183 -2.1177 -1.2323 29 1 -0.3633 -0.0001 -1.0276 30 1 -0.3633 -0.8900 0.5138 31 1 -0.3633 0.8899 0.5139 32 1 0.7582 2.5302 -0.8892 33 1 0.7590 2.5298 0.8908 34 1 3.0062 3.5771 0.8910 35 1 3.0061 3.5779 -0.8889 36 1 0.9881 5.0182 -0.8890 37 1 0.9875 5.0178 0.8909 38 1 0.9687 7.2830 0.5154 39 1 2.6649 7.8057 -1.9702 40 1 1.0196 7.1242 -1.9425 41 1 0.1551 9.2037 -0.9399 42 1 1.0125 9.5701 -2.4562 43 1 1.2511 9.7250 1.1650 44 1 2.8739 10.4553 1.1183 45 1 2.9525 8.0435 1.7627 46 1 3.8161 8.3523 0.2365 47 1 2.3374 -1.9452 2.0805 48 1 0.6851 -2.0446 1.3845 49 1 1.4432 -4.3213 1.1477 50 1 3.1196 -3.8135 0.7824 51 1 1.5998 -6.9371 0.6192 52 1 0.8540 -1.7930 -1.6235 53 1 2.5848 -2.0189 -2.0009 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 ZINC001715031276.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 06:11:27 Heat of formation + Delta-G solvation = -106.967879 kcal Electronic energy + Delta-G solvation = -29565.806324 eV Core-core repulsion = 25438.205590 eV Total energy + Delta-G solvation = -4127.600734 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.14 seconds Orbital eigenvalues (eV) -40.12310 -39.90637 -38.01025 -37.36450 -34.79104 -34.20673 -32.53142 -31.99874 -31.64271 -29.32528 -28.01057 -27.14579 -26.27272 -24.75007 -24.32843 -24.06883 -22.22382 -20.85564 -20.23586 -20.19917 -18.69002 -17.46835 -17.15938 -16.98571 -16.66285 -16.47505 -16.25131 -15.69219 -15.44705 -15.27046 -14.71577 -14.50960 -14.36830 -14.10803 -13.87747 -13.50072 -13.38183 -12.94873 -12.90994 -12.72080 -12.53212 -12.24510 -12.13603 -11.92259 -11.83987 -11.78176 -11.62441 -11.52758 -11.21884 -11.07460 -11.02211 -10.84816 -10.84120 -10.82961 -10.42704 -10.17907 -10.11041 -9.85415 -9.83963 -9.62121 -9.53887 -8.68621 -8.35320 -6.86984 -5.68144 -3.10434 2.74727 2.95952 3.29699 3.37937 3.41799 3.43962 3.46187 4.23049 4.27025 4.44622 4.46678 4.49697 4.57603 4.67687 4.70389 4.76768 4.87325 4.96613 5.03725 5.09596 5.12889 5.15949 5.18261 5.23483 5.32898 5.37592 5.40417 5.43310 5.50617 5.53501 5.59455 5.63426 5.71804 5.72853 5.74812 5.90819 5.93182 6.08565 6.21077 6.36551 6.54651 6.56496 6.66550 6.68793 6.87698 6.97864 7.47175 7.58857 7.61600 7.81669 8.30093 8.34405 9.18733 9.79339 10.43612 11.35682 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.037503 B = 0.001527 C = 0.001501 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 746.430188 B =18335.767592 C =18646.923443 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.075 3.925 2 N -0.602 5.602 3 C 0.511 3.489 4 O -0.543 6.543 5 C -0.135 4.135 6 C -0.103 4.103 7 C 0.063 3.937 8 O -0.377 6.377 9 C 0.089 3.911 10 C -0.180 4.180 11 C 0.063 3.937 12 O -0.382 6.382 13 C 0.064 3.936 14 C -0.155 4.155 15 C 0.125 3.875 16 H 0.103 0.897 17 C -0.153 4.153 18 C 0.153 3.847 19 N -0.602 5.602 20 C -0.222 4.222 21 H 0.078 0.922 22 C -0.011 4.011 23 N -0.922 5.922 24 Si 0.915 3.085 25 H -0.280 1.280 26 H -0.290 1.290 27 H -0.290 1.290 28 C 0.130 3.870 29 H 0.057 0.943 30 H 0.081 0.919 31 H 0.067 0.933 32 H 0.093 0.907 33 H 0.093 0.907 34 H 0.079 0.921 35 H 0.079 0.921 36 H 0.049 0.951 37 H 0.049 0.951 38 H 0.061 0.939 39 H 0.082 0.918 40 H 0.076 0.924 41 H 0.051 0.949 42 H 0.098 0.902 43 H 0.052 0.948 44 H 0.100 0.900 45 H 0.081 0.919 46 H 0.082 0.918 47 H 0.061 0.939 48 H 0.065 0.935 49 H 0.110 0.890 50 H 0.015 0.985 51 H 0.252 0.748 52 H 0.027 0.973 53 H 0.024 0.976 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.390 29.716 2.324 30.290 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 -0.069 4.069 2 N -0.334 5.334 3 C 0.299 3.701 4 O -0.421 6.421 5 C -0.175 4.175 6 C -0.141 4.141 7 C -0.014 4.014 8 O -0.296 6.296 9 C 0.031 3.969 10 C -0.218 4.218 11 C -0.013 4.013 12 O -0.301 6.301 13 C -0.013 4.013 14 C -0.192 4.192 15 C 0.022 3.978 16 H 0.121 0.879 17 C -0.192 4.192 18 C 0.028 3.972 19 N -0.329 5.329 20 C -0.350 4.350 21 H 0.096 0.904 22 C -0.206 4.206 23 N -0.571 5.571 24 Si 0.746 3.254 25 H -0.205 1.205 26 H -0.217 1.217 27 H -0.217 1.217 28 C 0.003 3.997 29 H 0.075 0.925 30 H 0.099 0.901 31 H 0.085 0.915 32 H 0.111 0.889 33 H 0.111 0.889 34 H 0.097 0.903 35 H 0.098 0.902 36 H 0.067 0.933 37 H 0.067 0.933 38 H 0.079 0.921 39 H 0.101 0.899 40 H 0.094 0.906 41 H 0.069 0.931 42 H 0.116 0.884 43 H 0.070 0.930 44 H 0.118 0.882 45 H 0.099 0.901 46 H 0.101 0.899 47 H 0.079 0.921 48 H 0.083 0.917 49 H 0.127 0.873 50 H 0.033 0.967 51 H 0.063 0.937 52 H 0.045 0.955 53 H 0.042 0.958 Dipole moment (debyes) X Y Z Total from point charges -4.494 29.608 2.239 30.031 hybrid contribution -0.746 -1.142 -0.492 1.450 sum -5.240 28.466 1.747 28.997 Atomic orbital electron populations 1.21798 0.79814 1.03216 1.02023 1.47885 1.06981 1.06055 1.72511 1.20510 0.88046 0.85265 0.76257 1.90696 1.13997 1.87353 1.50050 1.21566 0.99233 0.92439 1.04280 1.21222 0.97806 0.90035 1.05074 1.22572 0.91943 0.86886 0.99968 1.87957 1.33471 1.13196 1.94982 1.22070 0.96009 0.83778 0.95010 1.22752 1.03388 0.97494 0.98181 1.22563 0.92140 0.89020 0.97621 1.87954 1.67175 1.51805 1.23161 1.22589 1.00075 0.95439 0.83202 1.22305 1.00697 0.94336 1.01907 1.22253 0.97169 0.81413 0.96996 0.87911 1.23390 1.00579 0.98770 0.96452 1.21941 0.98948 0.91820 0.84521 1.44446 1.80997 1.00759 1.06698 1.19121 1.38751 0.84994 0.92144 0.90416 1.24793 1.02018 0.97404 0.96434 1.69790 1.55531 1.20706 1.11032 0.85987 0.77668 0.82543 0.79222 1.20534 1.21712 1.21738 1.21510 0.97896 0.86268 0.94014 0.92486 0.90054 0.91472 0.88858 0.88871 0.90257 0.90241 0.93319 0.93294 0.92141 0.89931 0.90565 0.93103 0.88427 0.93011 0.88190 0.90058 0.89920 0.92072 0.91651 0.87285 0.96699 0.93725 0.95516 0.95804 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 0.07 0.85 9.13 59.85 0.55 1.40 16 2 N -0.60 -9.03 2.88 -171.84 -0.50 -9.53 16 3 C 0.51 7.53 7.67 -10.98 -0.08 7.45 16 4 O -0.54 -10.20 15.35 5.56 0.09 -10.12 16 5 C -0.14 -1.30 4.25 -27.88 -0.12 -1.42 16 6 C -0.10 -1.07 4.87 -26.73 -0.13 -1.20 16 7 C 0.06 0.52 5.75 37.16 0.21 0.73 16 8 O -0.38 -3.75 10.00 -35.23 -0.35 -4.10 16 9 C 0.09 0.67 2.69 -26.54 -0.07 0.59 16 10 C -0.18 -1.22 5.77 -26.58 -0.15 -1.37 16 11 C 0.06 0.38 6.84 37.21 0.25 0.63 16 12 O -0.38 -3.03 10.77 -35.23 -0.38 -3.41 16 13 C 0.06 0.37 6.84 37.20 0.25 0.63 16 14 C -0.15 -1.05 5.79 -26.59 -0.15 -1.20 16 15 C 0.12 2.34 3.36 -66.10 -0.22 2.11 16 16 H 0.10 2.10 6.99 -51.93 -0.36 1.74 16 17 C -0.15 -2.90 6.61 -24.58 -0.16 -3.07 16 18 C 0.15 3.71 5.89 -2.52 -0.01 3.69 16 19 N -0.60 -15.44 3.39 -170.07 -0.58 -16.02 16 20 C -0.22 -6.17 10.27 -15.06 -0.15 -6.32 16 21 H 0.08 2.10 7.83 -52.49 -0.41 1.69 16 22 C -0.01 -0.31 5.49 -17.43 -0.10 -0.41 16 23 N -0.92 -26.66 10.09 55.49 0.56 -26.10 16 24 Si 0.92 21.94 29.55 -169.99 -5.02 16.92 16 25 H -0.28 -6.53 7.11 56.52 0.40 -6.12 16 26 H -0.29 -7.04 7.11 56.52 0.40 -6.64 16 27 H -0.29 -6.95 7.11 56.52 0.40 -6.55 16 28 C 0.13 2.78 6.88 -3.07 -0.02 2.76 16 29 H 0.06 0.62 7.89 -51.93 -0.41 0.21 16 30 H 0.08 1.03 6.08 -51.93 -0.32 0.71 16 31 H 0.07 0.54 6.44 -51.93 -0.33 0.20 16 32 H 0.09 0.73 8.11 -51.93 -0.42 0.30 16 33 H 0.09 0.70 7.40 -51.93 -0.38 0.31 16 34 H 0.08 0.94 8.10 -51.93 -0.42 0.52 16 35 H 0.08 0.96 8.10 -51.93 -0.42 0.54 16 36 H 0.05 0.34 7.97 -51.93 -0.41 -0.07 16 37 H 0.05 0.33 8.09 -51.93 -0.42 -0.09 16 38 H 0.06 0.38 7.79 -51.93 -0.40 -0.03 16 39 H 0.08 0.67 8.14 -51.93 -0.42 0.24 16 40 H 0.08 0.45 7.97 -51.93 -0.41 0.04 16 41 H 0.05 0.24 8.14 -51.93 -0.42 -0.18 16 42 H 0.10 0.47 8.14 -51.93 -0.42 0.05 16 43 H 0.05 0.24 8.14 -51.93 -0.42 -0.18 16 44 H 0.10 0.45 8.14 -51.92 -0.42 0.03 16 45 H 0.08 0.49 8.14 -51.93 -0.42 0.07 16 46 H 0.08 0.65 8.14 -51.93 -0.42 0.23 16 47 H 0.06 1.08 8.14 -51.93 -0.42 0.66 16 48 H 0.06 1.17 6.09 -51.93 -0.32 0.85 16 49 H 0.11 2.93 5.87 -51.93 -0.31 2.63 16 50 H 0.01 0.39 8.14 -51.93 -0.42 -0.03 16 51 H 0.25 7.05 8.31 -40.82 -0.34 6.71 16 52 H 0.03 0.55 6.94 -51.93 -0.36 0.19 16 53 H 0.02 0.53 8.14 -51.93 -0.42 0.11 16 LS Contribution 408.86 15.07 6.16 6.16 Total: -1.00 -33.44 408.86 -9.61 -43.06 By element: Atomic # 1 Polarization: 7.62 SS G_CDS: -9.48 Total: -1.86 kcal Atomic # 6 Polarization: 5.12 SS G_CDS: -0.11 Total: 5.01 kcal Atomic # 7 Polarization: -51.14 SS G_CDS: -0.51 Total: -51.65 kcal Atomic # 8 Polarization: -16.98 SS G_CDS: -0.65 Total: -17.63 kcal Atomic # 14 Polarization: 21.94 SS G_CDS: -5.02 Total: 16.92 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -33.44 -9.61 -43.06 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. ZINC001715031276.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 -63.913 kcal (2) G-P(sol) polarization free energy of solvation -33.444 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -97.356 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.612 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.055 kcal (6) G-S(sol) free energy of system = (1) + (5) -106.968 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.15 seconds