Wall clock time and date at job start Tue Mar 31 2020 20:51:12 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 1.52996 * 1 3 3 H 1.08997 * 109.99447 * 2 1 4 4 O 1.43746 * 109.87948 * 238.91589 * 2 1 3 5 5 C 1.44375 * 106.97661 * 214.06372 * 4 2 1 6 6 C 1.54995 * 103.49239 * 40.06399 * 5 4 2 7 7 C 1.54099 * 109.87673 * 121.08760 * 2 1 3 8 8 C 1.53005 * 110.60206 * 2.72210 * 7 2 1 9 9 C 1.50700 * 110.48841 * 240.12922 * 7 2 1 10 10 O 1.21277 * 119.99879 * 8.46030 * 9 7 2 11 11 N 1.34780 * 120.00208 * 188.46492 * 9 7 2 12 12 C 1.47480 * 125.66501 * 174.88856 * 11 9 7 13 13 C 1.55009 * 104.99368 * 204.07010 * 12 11 9 14 14 C 1.54535 * 101.52719 * 323.55454 * 13 12 11 15 15 C 1.47446 * 125.79830 * 354.91448 * 11 9 7 16 16 C 1.52270 * 110.16389 * 276.40974 * 14 13 12 17 17 C 1.53319 * 109.41850 * 297.16309 * 16 14 13 18 18 N 1.46928 * 108.70551 * 306.49526 * 17 16 14 19 19 C 1.36942 * 120.55739 * 234.20365 * 18 17 16 20 20 H 1.07995 * 119.99890 * 31.14853 * 19 18 17 21 21 C 1.38806 * 119.99760 * 211.13763 * 19 18 17 22 22 N 1.31623 * 120.00323 * 10.18678 * 21 19 18 23 23 Si 1.86808 * 119.99993 * 190.18553 * 21 19 18 24 24 H 1.48501 * 109.46602 * 60.00278 * 23 21 19 25 25 H 1.48502 * 109.46827 * 180.02562 * 23 21 19 26 26 H 1.48496 * 109.46745 * 300.00433 * 23 21 19 27 27 C 1.46932 * 118.87676 * 54.22833 * 18 17 16 28 28 C 1.52278 * 110.15798 * 153.28415 * 14 13 12 29 29 H 1.08997 * 109.47287 * 298.91729 * 1 2 3 30 30 H 1.09000 * 109.47039 * 58.91083 * 1 2 3 31 31 H 1.08994 * 109.47613 * 178.91357 * 1 2 3 32 32 H 1.09001 * 110.61985 * 281.55825 * 5 4 2 33 33 H 1.08998 * 110.61634 * 158.56145 * 5 4 2 34 34 H 1.09000 * 110.90869 * 204.77856 * 6 5 4 35 35 H 1.09003 * 110.93858 * 81.18010 * 6 5 4 36 36 H 1.08998 * 109.46767 * 300.81514 * 8 7 2 37 37 H 1.08996 * 109.47068 * 60.82053 * 8 7 2 38 38 H 1.08997 * 109.47115 * 180.81879 * 8 7 2 39 39 H 1.08999 * 110.35228 * 85.15357 * 12 11 9 40 40 H 1.09004 * 110.35406 * 322.98262 * 12 11 9 41 41 H 1.08995 * 111.01876 * 81.62031 * 13 12 11 42 42 H 1.09010 * 111.01332 * 205.49763 * 13 12 11 43 43 H 1.08995 * 109.88352 * 59.09311 * 15 11 9 44 44 H 1.08999 * 110.05506 * 297.93037 * 15 11 9 45 45 H 1.08998 * 109.48192 * 57.14901 * 16 14 13 46 46 H 1.08998 * 109.47947 * 177.18547 * 16 14 13 47 47 H 1.09002 * 109.60150 * 186.72451 * 17 16 14 48 48 H 1.08996 * 109.59307 * 66.25858 * 17 16 14 49 49 H 0.96995 * 120.00304 * 179.97438 * 22 21 19 50 50 H 1.08997 * 109.59593 * 185.99277 * 27 18 17 51 51 H 1.08998 * 109.59563 * 65.52833 * 27 18 17 52 52 H 1.08996 * 109.47923 * 182.81289 * 28 14 13 53 53 H 1.09007 * 109.47780 * 302.84256 * 28 14 13 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 1 1.9027 1.0243 0.0000 4 8 2.0188 -0.6979 -1.1577 5 6 3.2378 -1.3642 -0.7648 6 6 2.9195 -1.8916 0.6575 7 6 2.0539 -0.7483 1.2411 8 6 0.8916 -1.3191 2.0561 9 6 2.8944 0.1673 2.0932 10 8 2.9461 1.3525 1.8412 11 7 3.5889 -0.3309 3.1354 12 6 4.5292 0.4260 3.9827 13 6 5.4843 -0.6418 4.5747 14 6 4.5205 -1.8293 4.7962 15 6 3.5373 -1.7225 3.6199 16 6 3.7902 -1.6722 6.1231 17 6 4.8061 -1.7048 7.2710 18 7 5.6189 -2.9224 7.1464 19 6 5.7290 -3.7963 8.1950 20 1 4.9093 -3.9139 8.8882 21 6 6.8941 -4.5310 8.3667 22 7 7.9620 -4.2482 7.6512 23 14 6.9465 -5.9211 9.6135 24 1 5.9275 -6.9418 9.2598 25 1 8.2949 -6.5432 9.6048 26 1 6.6588 -5.3829 10.9673 27 6 6.3120 -3.1862 5.8780 28 6 5.2863 -3.1443 4.7394 29 1 -0.3634 0.4969 0.8995 30 1 -0.3633 0.5307 -0.8801 31 1 -0.3634 -1.0274 -0.0195 32 1 4.0685 -0.6589 -0.7356 33 1 3.4583 -2.1908 -1.4402 34 1 3.8331 -2.0226 1.2373 35 1 2.3540 -2.8222 0.6103 36 1 0.2347 -0.5078 2.3695 37 1 0.3306 -2.0250 1.4437 38 1 1.2816 -1.8312 2.9357 39 1 3.9920 0.9385 4.7808 40 1 5.0882 1.1432 3.3816 41 1 6.2684 -0.9020 3.8638 42 1 5.9114 -0.3037 5.5189 43 1 3.8363 -2.4037 2.8232 44 1 2.5290 -1.9642 3.9559 45 1 3.2586 -0.7207 6.1350 46 1 3.0780 -2.4883 6.2448 47 1 4.2794 -1.7128 8.2253 48 1 5.4505 -0.8276 7.2138 49 1 8.7762 -4.7614 7.7714 50 1 6.7783 -4.1708 5.9141 51 1 7.0737 -2.4244 5.7123 52 1 4.5896 -3.9756 4.8469 53 1 5.8021 -3.2235 3.7823 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 ZINC001040786567.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 20:51:12 Heat of formation + Delta-G solvation = -52.303815 kcal Electronic energy + Delta-G solvation = -31723.990933 eV Core-core repulsion = 27789.216662 eV Total energy + Delta-G solvation = -3934.774271 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.36 seconds Orbital eigenvalues (eV) -41.29953 -39.68021 -38.10299 -35.91885 -34.32593 -33.07648 -31.87568 -30.91505 -30.08783 -29.47127 -27.84880 -27.08875 -25.82176 -24.15873 -23.43542 -22.66430 -22.22121 -21.03571 -20.68600 -19.10484 -18.09963 -17.07924 -16.79596 -16.25762 -16.15976 -15.80486 -15.44010 -14.93921 -14.73015 -14.37728 -14.30196 -14.02537 -13.66590 -13.54027 -13.49272 -13.17078 -12.98212 -12.69939 -12.65334 -12.53096 -12.44154 -12.19033 -11.86154 -11.59972 -11.51114 -11.30223 -11.24880 -11.17449 -11.08263 -10.94859 -10.79597 -10.71338 -10.51074 -10.33140 -10.15360 -9.97577 -9.88481 -9.73884 -9.58176 -9.41460 -8.65892 -8.50551 -6.65891 -5.82918 -3.30932 2.49169 2.87292 3.34226 3.40054 3.40590 3.59386 4.10613 4.26410 4.43267 4.44386 4.58336 4.66638 4.85760 4.87407 4.92254 5.00699 5.14943 5.22613 5.24485 5.31655 5.33893 5.36241 5.39737 5.45426 5.46754 5.53050 5.59816 5.64046 5.66070 5.72835 5.82347 5.83363 5.90728 5.92623 6.00632 6.05162 6.05984 6.19699 6.21832 6.31222 6.46224 6.57227 6.58414 6.67593 6.68469 6.78440 6.91973 7.32458 7.47577 7.65251 7.74193 8.04434 8.43587 9.18343 9.79616 10.37003 11.24710 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.023931 B = 0.002766 C = 0.002711 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1169.755988 B =10122.240702 C =10324.331329 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 0.085 3.915 3 H 0.091 0.909 4 O -0.373 6.373 5 C 0.047 3.953 6 C -0.151 4.151 7 C -0.107 4.107 8 C -0.145 4.145 9 C 0.541 3.459 10 O -0.544 6.544 11 N -0.609 5.609 12 C 0.106 3.894 13 C -0.123 4.123 14 C -0.055 4.055 15 C 0.097 3.903 16 C -0.119 4.119 17 C 0.146 3.854 18 N -0.591 5.591 19 C -0.253 4.253 20 H 0.063 0.937 21 C 0.005 3.995 22 N -0.906 5.906 23 Si 0.904 3.096 24 H -0.284 1.284 25 H -0.290 1.290 26 H -0.283 1.283 27 C 0.173 3.827 28 C -0.127 4.127 29 H 0.071 0.929 30 H 0.061 0.939 31 H 0.065 0.935 32 H 0.060 0.940 33 H 0.096 0.904 34 H 0.092 0.908 35 H 0.090 0.910 36 H 0.066 0.934 37 H 0.074 0.926 38 H 0.070 0.930 39 H 0.067 0.933 40 H 0.072 0.928 41 H 0.073 0.927 42 H 0.093 0.907 43 H 0.073 0.927 44 H 0.072 0.928 45 H 0.050 0.950 46 H 0.060 0.940 47 H 0.053 0.947 48 H 0.020 0.980 49 H 0.255 0.745 50 H 0.091 0.909 51 H 0.019 0.981 52 H 0.057 0.943 53 H 0.050 0.950 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -11.356 5.098 -13.505 18.366 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 0.027 3.973 3 H 0.109 0.891 4 O -0.292 6.292 5 C -0.029 4.029 6 C -0.188 4.188 7 C -0.111 4.111 8 C -0.202 4.202 9 C 0.329 3.671 10 O -0.422 6.422 11 N -0.342 5.342 12 C -0.016 4.016 13 C -0.161 4.161 14 C -0.056 4.056 15 C -0.025 4.025 16 C -0.159 4.159 17 C 0.019 3.981 18 N -0.314 5.314 19 C -0.383 4.383 20 H 0.081 0.919 21 C -0.194 4.194 22 N -0.550 5.550 23 Si 0.734 3.266 24 H -0.210 1.210 25 H -0.216 1.216 26 H -0.209 1.209 27 C 0.047 3.953 28 C -0.167 4.167 29 H 0.090 0.910 30 H 0.081 0.919 31 H 0.084 0.916 32 H 0.078 0.922 33 H 0.114 0.886 34 H 0.110 0.890 35 H 0.109 0.891 36 H 0.085 0.915 37 H 0.093 0.907 38 H 0.089 0.911 39 H 0.085 0.915 40 H 0.091 0.909 41 H 0.091 0.909 42 H 0.112 0.888 43 H 0.091 0.909 44 H 0.090 0.910 45 H 0.069 0.931 46 H 0.079 0.921 47 H 0.072 0.928 48 H 0.038 0.962 49 H 0.065 0.935 50 H 0.109 0.891 51 H 0.037 0.963 52 H 0.075 0.925 53 H 0.068 0.932 Dipole moment (debyes) X Y Z Total from point charges -11.298 5.677 -13.877 18.774 hybrid contribution 0.254 -0.794 0.910 1.234 sum -11.044 4.883 -12.967 17.719 Atomic orbital electron populations 1.22009 0.93450 1.02744 1.02429 1.22774 0.95223 0.96715 0.82557 0.89114 1.88866 1.39511 1.67845 1.32994 1.23528 0.87975 0.96465 0.94960 1.23463 1.00746 0.97847 0.96786 1.22043 0.96661 0.95893 0.96472 1.22090 0.96411 1.01546 1.00119 1.19871 0.79335 0.88116 0.79779 1.90668 1.64490 1.16362 1.70645 1.48578 1.43405 1.12123 1.30121 1.22330 0.90683 0.95037 0.93516 1.22893 0.96839 0.94333 1.02000 1.20983 0.94313 0.96718 0.93602 1.22675 1.00478 0.82209 0.97181 1.21931 0.98653 1.00198 0.95095 1.20955 0.92033 0.89917 0.95173 1.43996 1.56185 1.20522 1.10669 1.19134 0.97303 1.16532 1.05323 0.91936 1.25144 0.94886 1.00704 0.98657 1.69942 1.01379 1.41046 1.42631 0.86351 0.76717 0.82174 0.81365 1.20997 1.21608 1.20893 1.20815 0.90480 1.01983 0.81972 1.22140 0.99666 0.94466 1.00391 0.91002 0.91947 0.91616 0.92153 0.88559 0.88967 0.89142 0.91456 0.90737 0.91085 0.91482 0.90930 0.90854 0.88834 0.90871 0.90979 0.93109 0.92131 0.92849 0.96236 0.93532 0.89135 0.96270 0.92459 0.93184 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -1.37 8.40 37.16 0.31 -1.06 16 2 C 0.09 0.98 3.66 -26.16 -0.10 0.88 16 3 H 0.09 1.24 6.48 -51.93 -0.34 0.90 16 4 O -0.37 -4.50 11.19 -35.23 -0.39 -4.90 16 5 C 0.05 0.47 7.72 38.21 0.29 0.77 16 6 C -0.15 -1.43 5.43 -24.72 -0.13 -1.56 16 7 C -0.11 -1.16 0.62 -154.13 -0.10 -1.25 16 8 C -0.14 -1.29 7.17 37.16 0.27 -1.03 16 9 C 0.54 7.36 6.59 -10.98 -0.07 7.29 16 10 O -0.54 -9.15 15.60 5.56 0.09 -9.07 16 11 N -0.61 -7.83 3.22 -170.47 -0.55 -8.38 16 12 C 0.11 1.40 6.56 -2.44 -0.02 1.39 16 13 C -0.12 -1.71 4.92 -24.86 -0.12 -1.83 16 14 C -0.06 -0.79 0.55 -154.09 -0.09 -0.88 16 15 C 0.10 1.15 4.67 -3.17 -0.01 1.14 16 16 C -0.12 -1.84 4.74 -26.94 -0.13 -1.97 16 17 C 0.15 2.79 6.19 -3.64 -0.02 2.77 16 18 N -0.59 -13.73 2.98 -172.17 -0.51 -14.25 16 19 C -0.25 -6.61 9.58 -15.06 -0.14 -6.76 16 20 H 0.06 1.61 7.85 -52.49 -0.41 1.20 16 21 C 0.00 0.12 5.06 -17.43 -0.09 0.03 16 22 N -0.91 -25.17 10.98 55.49 0.61 -24.56 16 23 Si 0.90 20.97 29.57 -169.99 -5.03 15.95 16 24 H -0.28 -6.50 7.11 56.52 0.40 -6.10 16 25 H -0.29 -6.81 7.11 56.52 0.40 -6.41 16 26 H -0.28 -6.52 7.11 56.52 0.40 -6.12 16 27 C 0.17 3.77 4.98 -3.65 -0.02 3.75 16 28 C -0.13 -2.11 4.72 -26.94 -0.13 -2.24 16 29 H 0.07 0.61 6.82 -51.93 -0.35 0.25 16 30 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 31 H 0.06 0.54 6.75 -51.93 -0.35 0.19 16 32 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 33 H 0.10 0.77 8.14 -51.93 -0.42 0.34 16 34 H 0.09 0.90 5.27 -51.93 -0.27 0.62 16 35 H 0.09 0.73 7.84 -51.93 -0.41 0.33 16 36 H 0.07 0.59 6.68 -51.93 -0.35 0.25 16 37 H 0.07 0.56 6.85 -51.93 -0.36 0.21 16 38 H 0.07 0.64 4.91 -51.93 -0.25 0.38 16 39 H 0.07 0.88 7.74 -51.93 -0.40 0.48 16 40 H 0.07 0.97 8.09 -51.93 -0.42 0.55 16 41 H 0.07 1.02 8.01 -51.93 -0.42 0.60 16 42 H 0.09 1.42 6.08 -51.92 -0.32 1.10 16 43 H 0.07 0.81 5.10 -51.93 -0.26 0.54 16 44 H 0.07 0.81 5.49 -51.93 -0.29 0.53 16 45 H 0.05 0.71 7.47 -51.93 -0.39 0.32 16 46 H 0.06 0.96 8.14 -51.93 -0.42 0.54 16 47 H 0.05 1.03 7.93 -51.93 -0.41 0.62 16 48 H 0.02 0.38 6.47 -51.93 -0.34 0.04 16 49 H 0.25 6.90 8.31 -40.82 -0.34 6.56 16 50 H 0.09 2.27 6.02 -51.93 -0.31 1.96 16 51 H 0.02 0.44 7.55 -51.93 -0.39 0.05 16 52 H 0.06 0.98 8.14 -51.93 -0.42 0.55 16 53 H 0.05 0.75 8.11 -51.93 -0.42 0.33 16 LS Contribution 378.94 15.07 5.71 5.71 Total: -1.00 -29.81 378.94 -9.07 -38.88 By element: Atomic # 1 Polarization: 9.87 SS G_CDS: -8.70 Total: 1.17 kcal Atomic # 6 Polarization: -0.26 SS G_CDS: -0.29 Total: -0.55 kcal Atomic # 7 Polarization: -46.74 SS G_CDS: -0.45 Total: -47.19 kcal Atomic # 8 Polarization: -13.65 SS G_CDS: -0.31 Total: -13.96 kcal Atomic # 14 Polarization: 20.97 SS G_CDS: -5.03 Total: 15.95 kcal Total LS contribution 5.71 Total: 5.71 kcal Total: -29.81 -9.07 -38.88 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. ZINC001040786567.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 -13.428 kcal (2) G-P(sol) polarization free energy of solvation -29.805 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -43.234 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.070 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.875 kcal (6) G-S(sol) free energy of system = (1) + (5) -52.304 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.36 seconds