Wall clock time and date at job start Tue Mar 31 2020 20:44:03 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 C 1.52995 * 109.47196 * 2 1 4 4 C 1.53002 * 109.46928 * 119.99584 * 2 1 3 5 5 C 1.50700 * 109.47094 * 300.00049 * 4 2 1 6 6 O 1.21280 * 120.00348 * 359.97438 * 5 4 2 7 7 N 1.34780 * 120.00309 * 179.97438 * 5 4 2 8 8 C 1.46492 * 120.00570 * 179.97438 * 7 5 4 9 9 C 1.53002 * 109.47356 * 180.02562 * 8 7 5 10 10 H 1.08998 * 110.52799 * 307.80619 * 9 8 7 11 11 C 1.55052 * 110.58757 * 185.00168 * 9 8 7 12 12 C 1.54992 * 102.30880 * 204.76230 * 11 9 8 13 13 C 1.53998 * 103.58736 * 20.92574 * 12 11 9 14 14 C 1.53212 * 115.00343 * 132.25453 * 13 12 11 15 15 N 1.47715 * 85.90113 * 92.98179 * 14 13 12 16 16 C 1.36935 * 134.43102 * 204.13868 * 15 14 13 17 17 H 1.07999 * 120.00186 * 179.97438 * 16 15 14 18 18 C 1.38816 * 120.00301 * 359.96570 * 16 15 14 19 19 N 1.31627 * 119.99636 * 0.02562 * 18 16 15 20 20 Si 1.86799 * 120.00465 * 179.97438 * 18 16 15 21 21 H 1.48503 * 109.46876 * 90.00179 * 20 18 16 22 22 H 1.48496 * 109.47453 * 210.00117 * 20 18 16 23 23 H 1.48505 * 109.47121 * 330.00601 * 20 18 16 24 24 C 1.47712 * 91.13531 * 24.11501 * 15 14 13 25 25 O 1.42963 * 108.22124 * 1.62163 * 13 12 11 26 26 C 1.52997 * 109.47392 * 239.99422 * 2 1 3 27 27 C 1.52996 * 117.49903 * 128.62192 * 26 2 1 28 28 C 1.52999 * 117.49458 * 59.99919 * 26 2 1 29 29 H 1.09004 * 109.47651 * 300.00062 * 1 2 3 30 30 H 1.08997 * 109.47424 * 60.00427 * 1 2 3 31 31 H 1.09000 * 109.47403 * 180.02562 * 1 2 3 32 32 H 1.09001 * 109.47487 * 180.02562 * 3 2 1 33 33 H 1.09010 * 109.46979 * 299.99555 * 3 2 1 34 34 H 1.08995 * 109.47650 * 59.99283 * 3 2 1 35 35 H 1.09003 * 109.47323 * 180.02562 * 4 2 1 36 36 H 1.09000 * 109.47132 * 59.99769 * 4 2 1 37 37 H 0.97003 * 119.99700 * 359.97438 * 7 5 4 38 38 H 1.09003 * 109.46789 * 59.99861 * 8 7 5 39 39 H 1.08997 * 109.47234 * 300.00451 * 8 7 5 40 40 H 1.09002 * 110.87414 * 323.02524 * 11 9 8 41 41 H 1.09003 * 110.87390 * 86.50324 * 11 9 8 42 42 H 1.09006 * 110.55157 * 139.55896 * 12 11 9 43 43 H 1.08993 * 110.55409 * 262.37978 * 12 11 9 44 44 H 1.09007 * 113.80163 * 207.22466 * 14 13 12 45 45 H 1.08998 * 113.80964 * 338.72691 * 14 13 12 46 46 H 0.96992 * 119.99587 * 179.97438 * 19 18 16 47 47 H 1.09000 * 113.80660 * 221.64432 * 24 15 14 48 48 H 1.09003 * 113.80693 * 90.12936 * 24 15 14 49 49 H 1.08996 * 115.54918 * 274.33144 * 26 2 1 50 50 H 1.08998 * 117.49795 * 0.02562 * 27 26 2 51 51 H 1.08999 * 117.50109 * 145.02471 * 27 26 2 52 52 H 1.09007 * 117.49735 * 214.97704 * 28 26 2 53 53 H 1.08995 * 117.50173 * 0.02562 * 28 26 2 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 1.4424 0.0000 4 6 2.0399 -0.7212 1.2493 5 6 1.5376 -0.0107 2.4797 6 8 0.8407 0.9757 2.3684 7 7 1.8626 -0.4713 3.7039 8 6 1.3748 0.2196 4.9000 9 6 1.8847 -0.5016 6.1493 10 1 1.6481 -1.5645 6.1004 11 6 1.2818 0.1328 7.4293 12 6 2.3337 -0.2343 8.5069 13 6 3.6052 -0.5233 7.6876 14 6 4.8767 0.1587 8.2031 15 7 5.1112 -1.0878 8.9601 16 6 5.8106 -1.4034 10.0942 17 1 5.8257 -2.4218 10.4535 18 6 6.5005 -0.4145 10.7821 19 7 6.4818 0.8267 10.3443 20 14 7.4541 -0.8449 12.3296 21 1 8.8455 -1.2155 11.9666 22 1 7.4758 0.3281 13.2400 23 1 6.7991 -1.9895 13.0124 24 6 4.2888 -1.8575 8.0045 25 8 3.3077 -0.3010 6.3071 26 6 2.0400 -0.7213 -1.2491 27 6 3.0742 0.0050 -2.1116 28 6 1.6357 -0.1497 -2.6095 29 1 -0.3634 0.5138 0.8900 30 1 -0.3634 0.5137 -0.8900 31 1 -0.3634 -1.0276 0.0005 32 1 3.1300 1.4425 -0.0005 33 1 1.6767 1.9563 -0.8901 34 1 1.6766 1.9564 0.8898 35 1 3.1300 -0.7208 1.2496 36 1 1.6765 -1.7488 1.2494 37 1 2.4197 -1.2604 3.7930 38 1 0.2848 0.2205 4.8999 39 1 1.7388 1.2470 4.9000 40 1 1.1956 1.2142 7.3232 41 1 0.3143 -0.3110 7.6640 42 1 2.4945 0.6033 9.1857 43 1 2.0226 -1.1211 9.0588 44 1 5.6191 0.3489 7.4279 45 1 4.6855 1.0271 8.8335 46 1 6.9635 1.5177 10.8252 47 1 3.6316 -2.5871 8.4777 48 1 4.8551 -2.2709 7.1699 49 1 2.1267 -1.8045 -1.1640 50 1 3.3914 0.9966 -1.7888 51 1 3.8416 -0.6003 -2.5940 52 1 1.4569 -0.8568 -3.4196 53 1 1.0068 0.7405 -2.6146 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 ZINC001733787871.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 20:44:03 Heat of formation + Delta-G solvation = -6.833815 kcal Electronic energy + Delta-G solvation = -29585.444266 eV Core-core repulsion = 25652.641723 eV Total energy + Delta-G solvation = -3932.802544 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.97 seconds Orbital eigenvalues (eV) -40.51018 -39.81010 -38.47425 -36.56158 -34.65130 -33.68972 -32.08755 -31.85001 -29.78752 -28.02822 -27.47602 -26.67858 -24.98842 -24.12227 -23.23234 -22.46841 -21.77822 -21.26554 -20.35533 -18.79174 -18.61149 -17.19301 -16.79561 -16.61533 -16.33627 -15.68785 -15.45896 -15.16083 -14.88944 -14.55482 -14.24982 -13.96390 -13.81816 -13.70071 -13.49008 -13.32079 -13.03980 -12.60209 -12.46395 -12.08109 -11.95647 -11.82552 -11.76411 -11.48137 -11.41119 -11.28075 -11.20332 -11.13212 -10.98342 -10.93833 -10.85787 -10.61898 -10.53558 -10.51406 -10.22435 -10.10154 -10.03902 -9.61279 -9.53601 -9.07140 -8.91071 -8.79125 -6.93042 -5.80513 -3.13199 2.57859 3.08517 3.37070 3.41557 3.43998 3.55193 4.00859 4.36404 4.43866 4.45761 4.64736 4.72584 4.75625 4.89199 4.89970 4.95937 5.06333 5.08828 5.14948 5.23681 5.27228 5.34790 5.39249 5.40018 5.46946 5.50625 5.57071 5.61332 5.64594 5.65498 5.72554 5.78058 5.87695 5.89486 5.93806 5.95563 6.03864 6.11238 6.24133 6.31096 6.33841 6.36066 6.47913 6.53479 6.57592 6.69302 6.99718 7.21358 7.44424 7.49367 7.61171 7.93297 8.19108 9.00697 9.66572 10.54784 11.36954 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.022597 B = 0.001978 C = 0.001894 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1238.823561 B =14149.899002 C =14779.247680 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C -0.013 4.013 3 C -0.157 4.157 4 C -0.131 4.131 5 C 0.514 3.486 6 O -0.537 6.537 7 N -0.725 5.725 8 C 0.128 3.872 9 C 0.062 3.938 10 H 0.071 0.929 11 C -0.147 4.147 12 C -0.112 4.112 13 C 0.052 3.948 14 C 0.177 3.823 15 N -0.604 5.604 16 C -0.222 4.222 17 H 0.081 0.919 18 C -0.008 4.008 19 N -0.920 5.920 20 Si 0.914 3.086 21 H -0.288 1.288 22 H -0.290 1.290 23 H -0.280 1.280 24 C 0.107 3.893 25 O -0.359 6.359 26 C -0.145 4.145 27 C -0.185 4.185 28 C -0.178 4.178 29 H 0.084 0.916 30 H 0.050 0.950 31 H 0.045 0.955 32 H 0.051 0.949 33 H 0.050 0.950 34 H 0.086 0.914 35 H 0.095 0.905 36 H 0.092 0.908 37 H 0.404 0.596 38 H 0.077 0.923 39 H 0.076 0.924 40 H 0.077 0.923 41 H 0.076 0.924 42 H 0.083 0.917 43 H 0.074 0.926 44 H 0.033 0.967 45 H 0.078 0.922 46 H 0.255 0.745 47 H 0.044 0.956 48 H 0.039 0.961 49 H 0.102 0.898 50 H 0.101 0.899 51 H 0.090 0.910 52 H 0.090 0.910 53 H 0.094 0.906 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.269 -3.255 -20.828 24.910 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 -0.207 4.207 2 C -0.014 4.014 3 C -0.214 4.214 4 C -0.171 4.171 5 C 0.301 3.699 6 O -0.415 6.415 7 N -0.376 5.376 8 C 0.005 3.995 9 C 0.004 3.996 10 H 0.089 0.911 11 C -0.185 4.185 12 C -0.150 4.150 13 C 0.012 3.988 14 C 0.051 3.949 15 N -0.333 5.333 16 C -0.349 4.349 17 H 0.099 0.901 18 C -0.204 4.204 19 N -0.567 5.567 20 Si 0.744 3.256 21 H -0.216 1.216 22 H -0.216 1.216 23 H -0.206 1.206 24 C -0.019 4.019 25 O -0.277 6.277 26 C -0.163 4.163 27 C -0.222 4.222 28 C -0.215 4.215 29 H 0.103 0.897 30 H 0.069 0.931 31 H 0.064 0.936 32 H 0.070 0.930 33 H 0.069 0.931 34 H 0.104 0.896 35 H 0.113 0.887 36 H 0.110 0.890 37 H 0.238 0.762 38 H 0.096 0.904 39 H 0.095 0.905 40 H 0.096 0.904 41 H 0.095 0.905 42 H 0.102 0.898 43 H 0.092 0.908 44 H 0.051 0.949 45 H 0.096 0.904 46 H 0.065 0.935 47 H 0.062 0.938 48 H 0.057 0.943 49 H 0.120 0.880 50 H 0.120 0.880 51 H 0.108 0.892 52 H 0.108 0.892 53 H 0.112 0.888 Dipole moment (debyes) X Y Z Total from point charges -13.427 -2.407 -20.776 24.854 hybrid contribution 0.984 -0.852 0.938 1.604 sum -12.443 -3.259 -19.838 23.644 Atomic orbital electron populations 1.22070 0.93845 1.01366 1.03403 1.19734 0.96007 0.94941 0.90695 1.22227 1.00270 0.95412 1.03452 1.21742 1.02722 1.00323 0.92323 1.20629 0.80100 0.84617 0.84567 1.90571 1.38147 1.26373 1.86380 1.46024 1.53717 1.32267 1.05590 1.21422 0.98642 0.97130 0.82352 1.23301 0.83648 0.98560 0.94086 0.91098 1.23138 0.99102 1.01751 0.94520 1.22515 0.92456 1.02733 0.97254 1.24397 0.96360 0.98614 0.79468 1.22306 0.88724 0.92002 0.91837 1.45663 1.58559 1.04689 1.24354 1.18966 1.23541 0.94360 0.98033 0.90127 1.24808 1.00603 0.95547 0.99477 1.69818 1.46196 1.00062 1.40614 0.86099 0.79912 0.77164 0.82451 1.21572 1.21582 1.20599 1.22993 0.92654 0.93790 0.92464 1.88825 1.21163 1.90722 1.27027 1.22364 1.03775 0.98763 0.91381 1.23157 0.92396 1.02730 1.03930 1.22908 0.98259 1.03266 0.97029 0.89702 0.93116 0.93589 0.93047 0.93141 0.89571 0.88700 0.89008 0.76167 0.90449 0.90528 0.90382 0.90537 0.89848 0.90774 0.94896 0.90355 0.93524 0.93830 0.94340 0.87996 0.88024 0.89198 0.89151 0.88803 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 -0.15 -1.39 8.02 37.16 0.30 -1.09 16 2 C -0.01 -0.12 0.62 -154.51 -0.10 -0.21 16 3 C -0.16 -1.53 6.77 37.16 0.25 -1.28 16 4 C -0.13 -1.09 4.75 -27.88 -0.13 -1.22 16 5 C 0.51 5.65 7.24 -10.98 -0.08 5.57 16 6 O -0.54 -7.36 11.35 5.56 0.06 -7.30 16 7 N -0.72 -7.64 5.56 -60.30 -0.33 -7.97 16 8 C 0.13 1.48 5.41 -4.04 -0.02 1.46 16 9 C 0.06 0.79 3.38 -25.65 -0.09 0.70 16 10 H 0.07 0.81 8.14 -51.93 -0.42 0.39 16 11 C -0.15 -1.83 6.58 -24.59 -0.16 -1.99 16 12 C -0.11 -1.82 6.50 -25.16 -0.16 -1.99 16 13 C 0.05 0.99 1.56 -89.99 -0.14 0.85 16 14 C 0.18 4.25 7.00 -3.27 -0.02 4.22 16 15 N -0.60 -15.47 3.68 -181.57 -0.67 -16.14 16 16 C -0.22 -6.17 10.70 -15.06 -0.16 -6.33 16 17 H 0.08 2.16 7.83 -52.49 -0.41 1.75 16 18 C -0.01 -0.22 5.50 -17.43 -0.10 -0.31 16 19 N -0.92 -27.14 11.39 55.49 0.63 -26.51 16 20 Si 0.91 21.96 29.55 -169.99 -5.02 16.93 16 21 H -0.29 -6.94 7.11 56.52 0.40 -6.54 16 22 H -0.29 -7.00 7.11 56.52 0.40 -6.60 16 23 H -0.28 -6.53 7.11 56.52 0.40 -6.12 16 24 C 0.11 2.21 8.43 -3.26 -0.03 2.19 16 25 O -0.36 -6.07 10.99 -35.23 -0.39 -6.45 16 26 C -0.14 -1.09 5.15 -90.62 -0.47 -1.56 16 27 C -0.19 -1.35 9.57 -26.73 -0.26 -1.61 16 28 C -0.18 -1.26 9.38 -26.73 -0.25 -1.51 16 29 H 0.08 0.97 5.51 -51.93 -0.29 0.68 16 30 H 0.05 0.45 7.29 -51.93 -0.38 0.07 16 31 H 0.04 0.39 8.14 -51.93 -0.42 -0.04 16 32 H 0.05 0.48 6.97 -51.93 -0.36 0.12 16 33 H 0.05 0.46 7.07 -51.92 -0.37 0.09 16 34 H 0.09 1.05 5.51 -51.93 -0.29 0.76 16 35 H 0.09 0.73 8.14 -51.93 -0.42 0.30 16 36 H 0.09 0.60 8.14 -51.93 -0.42 0.18 16 37 H 0.40 3.68 8.47 -40.82 -0.35 3.33 16 38 H 0.08 0.82 8.14 -51.93 -0.42 0.40 16 39 H 0.08 1.02 8.14 -51.93 -0.42 0.60 16 40 H 0.08 0.95 8.05 -51.93 -0.42 0.53 16 41 H 0.08 0.78 8.14 -51.93 -0.42 0.35 16 42 H 0.08 1.48 7.78 -51.93 -0.40 1.08 16 43 H 0.07 1.18 7.75 -51.93 -0.40 0.77 16 44 H 0.03 0.84 8.14 -51.92 -0.42 0.42 16 45 H 0.08 2.04 6.91 -51.93 -0.36 1.68 16 46 H 0.25 7.28 8.31 -40.82 -0.34 6.94 16 47 H 0.04 0.83 7.86 -51.93 -0.41 0.43 16 48 H 0.04 0.79 8.14 -51.93 -0.42 0.37 16 49 H 0.10 0.70 8.11 -51.93 -0.42 0.27 16 50 H 0.10 0.77 5.85 -51.93 -0.30 0.47 16 51 H 0.09 0.59 8.14 -51.93 -0.42 0.17 16 52 H 0.09 0.56 8.14 -51.92 -0.42 0.14 16 53 H 0.09 0.69 7.07 -51.93 -0.37 0.32 16 LS Contribution 406.33 15.07 6.12 6.12 Total: -1.00 -31.61 406.33 -10.51 -42.13 By element: Atomic # 1 Polarization: 12.61 SS G_CDS: -9.31 Total: 3.30 kcal Atomic # 6 Polarization: -2.50 SS G_CDS: -1.61 Total: -4.12 kcal Atomic # 7 Polarization: -50.25 SS G_CDS: -0.37 Total: -50.62 kcal Atomic # 8 Polarization: -13.42 SS G_CDS: -0.32 Total: -13.75 kcal Atomic # 14 Polarization: 21.96 SS G_CDS: -5.02 Total: 16.93 kcal Total LS contribution 6.12 Total: 6.12 kcal Total: -31.61 -10.51 -42.13 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. ZINC001733787871.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 35.293 kcal (2) G-P(sol) polarization free energy of solvation -31.612 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 3.681 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.515 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.127 kcal (6) G-S(sol) free energy of system = (1) + (5) -6.834 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.97 seconds