Wall clock time and date at job start Tue Mar 31 2020 19:54:44 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 1.52999 * 1 3 3 H 1.09000 * 109.47702 * 2 1 4 4 C 1.50702 * 109.47051 * 120.00086 * 2 1 3 5 5 O 1.21286 * 119.99906 * 119.99640 * 4 2 1 6 6 N 1.34770 * 120.00096 * 300.00074 * 4 2 1 7 7 C 1.46496 * 120.00312 * 180.02562 * 6 4 2 8 8 C 1.52992 * 109.47470 * 179.97438 * 7 6 4 9 9 H 1.08998 * 109.43711 * 59.93993 * 8 7 6 10 10 C 1.53151 * 109.43835 * 179.85035 * 8 7 6 11 11 C 1.53706 * 108.87379 * 66.13068 * 10 8 7 12 12 H 1.08996 * 112.58424 * 187.93674 * 11 10 8 13 13 C 1.54222 * 107.72407 * 312.06473 * 11 10 8 14 14 C 1.54304 * 104.79162 * 88.97658 * 13 11 10 15 15 C 1.54611 * 104.74976 * 359.82649 * 14 13 11 16 16 H 1.09003 * 112.18559 * 146.80071 * 15 14 13 17 17 C 1.53700 * 107.83042 * 271.33244 * 15 14 13 18 18 N 1.48290 * 107.27610 * 64.00974 * 11 10 8 19 19 C 1.36939 * 128.21043 * 107.44148 * 18 11 10 20 20 H 1.08001 * 119.99922 * 34.53856 * 19 18 11 21 21 C 1.38819 * 119.99981 * 214.54533 * 19 18 11 22 22 N 1.31619 * 119.99763 * 354.99488 * 21 19 18 23 23 Si 1.86801 * 119.99783 * 175.00293 * 21 19 18 24 24 H 1.48505 * 109.46729 * 269.99537 * 23 21 19 25 25 H 1.48499 * 109.47356 * 29.99738 * 23 21 19 26 26 H 1.48498 * 109.46696 * 149.99862 * 23 21 19 27 27 C 1.53005 * 109.47124 * 239.99964 * 2 1 3 28 28 H 1.09000 * 110.33435 * 187.25071 * 27 2 1 29 29 C 1.54480 * 110.36904 * 65.00101 * 27 2 1 30 30 C 1.54516 * 104.05839 * 217.19131 * 29 27 2 31 31 C 1.54476 * 104.06619 * 0.02562 * 30 29 27 32 32 O 1.44423 * 110.36947 * 309.62272 * 27 2 1 33 33 H 1.08998 * 109.47207 * 179.97438 * 1 2 3 34 34 H 1.08996 * 109.47080 * 300.00168 * 1 2 3 35 35 H 1.09003 * 109.47054 * 59.99705 * 1 2 3 36 36 H 0.97001 * 120.00137 * 359.97438 * 6 4 2 37 37 H 1.08998 * 109.47666 * 59.99488 * 7 6 4 38 38 H 1.09003 * 109.47294 * 299.99778 * 7 6 4 39 39 H 1.08992 * 109.56951 * 306.31189 * 10 8 7 40 40 H 1.09001 * 109.56952 * 185.94705 * 10 8 7 41 41 H 1.09004 * 110.50880 * 330.07114 * 13 11 10 42 42 H 1.08997 * 110.31333 * 207.78654 * 13 11 10 43 43 H 1.09003 * 110.38608 * 241.00499 * 14 13 11 44 44 H 1.09007 * 110.47764 * 118.69184 * 14 13 11 45 45 H 1.08993 * 109.56930 * 167.58939 * 17 15 14 46 46 H 1.08994 * 109.57067 * 287.95577 * 17 15 14 47 47 H 0.96996 * 119.99577 * 180.02562 * 22 21 19 48 48 H 1.08999 * 110.51211 * 335.83580 * 29 27 2 49 49 H 1.09005 * 110.51021 * 98.55045 * 29 27 2 50 50 H 1.08997 * 110.50865 * 118.65373 * 30 29 27 51 51 H 1.09003 * 110.50744 * 241.35531 * 30 29 27 52 52 H 1.09001 * 110.36991 * 142.80986 * 31 30 29 53 53 H 1.09003 * 110.37441 * 265.04042 * 31 30 29 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 1.8934 1.0276 0.0000 4 6 2.0323 -0.7104 1.2305 5 8 2.7295 -1.6966 1.1192 6 7 1.7067 -0.2500 2.4545 7 6 2.1955 -0.9403 3.6507 8 6 1.6859 -0.2188 4.8999 9 1 0.5959 -0.2183 4.8992 10 6 2.1942 -0.9432 6.1498 11 6 3.7236 -0.8054 6.2170 12 1 4.1645 -1.4138 7.0066 13 6 4.2885 -1.1603 4.8266 14 6 4.2972 0.1744 4.0524 15 6 3.7310 1.2115 5.0495 16 1 4.1778 2.1969 4.9166 17 6 2.2023 1.2304 4.8916 18 7 4.0289 0.6362 6.3834 19 6 4.4839 1.2820 7.5020 20 1 5.1631 0.7812 8.1760 21 6 4.0720 2.5804 7.7696 22 7 3.3239 3.2259 6.9001 23 14 4.5797 3.4114 9.3637 24 1 3.5625 3.1376 10.4104 25 1 5.8957 2.8806 9.8014 26 1 4.6844 4.8767 9.1464 27 6 2.0400 -0.7213 -1.2493 28 1 3.1222 -0.8426 -1.2014 29 6 1.6422 0.0599 -2.5212 30 6 1.3101 -1.0433 -3.5508 31 6 1.5459 -2.3605 -2.7789 32 8 1.3935 -2.0053 -1.3875 33 1 -0.3633 -1.0276 -0.0005 34 1 -0.3633 0.5138 0.8899 35 1 -0.3633 0.5139 -0.8900 36 1 1.1494 0.5388 2.5436 37 1 3.2854 -0.9400 3.6506 38 1 1.8325 -1.9681 3.6509 39 1 1.9247 -1.9979 6.0955 40 1 1.7479 -0.4958 7.0380 41 1 3.6456 -1.8849 4.3267 42 1 5.3013 -1.5525 4.9185 43 1 3.6587 0.1067 3.1716 44 1 5.3139 0.4412 3.7636 45 1 1.7564 1.7802 5.7204 46 1 1.9385 1.7099 3.9491 47 1 3.0364 4.1332 7.0869 48 1 0.7665 0.6803 -2.3303 49 1 2.4751 0.6702 -2.8707 50 1 0.2703 -0.9683 -3.8689 51 1 1.9787 -0.9784 -4.4093 52 1 0.8033 -3.1056 -3.0643 53 1 2.5515 -2.7362 -2.9677 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 ZINC001271744112.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 19:54:44 Heat of formation + Delta-G solvation = 27.050215 kcal Electronic energy + Delta-G solvation = -31600.675679 eV Core-core repulsion = 27669.342457 eV Total energy + Delta-G solvation = -3931.333222 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.98 seconds Orbital eigenvalues (eV) -41.20755 -40.01276 -38.44638 -34.57023 -33.92051 -32.70708 -32.10003 -31.32070 -30.21297 -29.95787 -28.15324 -26.58218 -24.99649 -23.55003 -23.18539 -22.22685 -21.15003 -20.52533 -19.83065 -19.29851 -18.61790 -17.21445 -17.00956 -16.29725 -16.24859 -15.70273 -15.58029 -14.89250 -14.74711 -14.34210 -14.02024 -13.77576 -13.65092 -13.23148 -12.93552 -12.77633 -12.58234 -12.31758 -12.09421 -11.95993 -11.88880 -11.66634 -11.60211 -11.46162 -11.35109 -11.27226 -11.18004 -11.10470 -10.84312 -10.73829 -10.70955 -10.54455 -10.14213 -9.79273 -9.79029 -9.62761 -9.48631 -9.32830 -9.23020 -9.14300 -8.46150 -8.02048 -6.52747 -5.85709 -3.28388 2.95243 3.35884 3.42805 3.43468 3.49176 3.76888 4.32574 4.45032 4.50359 4.71184 4.81470 4.84774 4.96865 5.11890 5.19884 5.27142 5.34307 5.38645 5.46535 5.49448 5.53914 5.55368 5.59549 5.66975 5.69837 5.72189 5.77049 5.84344 5.87058 5.94682 5.98909 6.13387 6.15487 6.17381 6.25757 6.35134 6.50621 6.57071 6.66840 6.71703 6.76421 6.77029 6.89926 6.93289 7.01160 7.15442 7.20891 7.55058 7.68130 7.80262 7.87557 8.32555 8.56841 9.12940 9.71892 10.63890 11.28991 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.025514 B = 0.002712 C = 0.002624 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1097.181704 B =10320.408211 C =10666.979643 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.140 4.140 2 C -0.109 4.109 3 H 0.107 0.893 4 C 0.513 3.487 5 O -0.537 6.537 6 N -0.720 5.720 7 C 0.004 3.996 8 C -0.087 4.087 9 H 0.049 0.951 10 C -0.118 4.118 11 C 0.147 3.853 12 H 0.066 0.934 13 C -0.160 4.160 14 C -0.175 4.175 15 C 0.189 3.811 16 H 0.084 0.916 17 C -0.110 4.110 18 N -0.581 5.581 19 C -0.235 4.235 20 H 0.066 0.934 21 C 0.013 3.987 22 N -0.897 5.897 23 Si 0.902 3.098 24 H -0.287 1.287 25 H -0.280 1.280 26 H -0.291 1.291 27 C 0.096 3.904 28 H 0.077 0.923 29 C -0.155 4.155 30 C -0.154 4.154 31 C 0.043 3.957 32 O -0.355 6.355 33 H 0.069 0.931 34 H 0.059 0.941 35 H 0.064 0.936 36 H 0.394 0.606 37 H 0.193 0.807 38 H 0.043 0.957 39 H 0.043 0.957 40 H 0.065 0.935 41 H 0.090 0.910 42 H 0.053 0.947 43 H 0.093 0.907 44 H 0.048 0.952 45 H 0.086 0.914 46 H 0.033 0.967 47 H 0.253 0.747 48 H 0.080 0.920 49 H 0.077 0.923 50 H 0.073 0.927 51 H 0.074 0.926 52 H 0.088 0.912 53 H 0.057 0.943 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.201 -5.498 -18.100 19.907 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 -0.197 4.197 2 C -0.130 4.130 3 H 0.125 0.875 4 C 0.298 3.702 5 O -0.414 6.414 6 N -0.371 5.371 7 C -0.115 4.115 8 C -0.106 4.106 9 H 0.067 0.933 10 C -0.158 4.158 11 C 0.040 3.960 12 H 0.084 0.916 13 C -0.199 4.199 14 C -0.213 4.213 15 C 0.082 3.918 16 H 0.102 0.898 17 C -0.149 4.149 18 N -0.303 5.303 19 C -0.364 4.364 20 H 0.084 0.916 21 C -0.186 4.186 22 N -0.540 5.540 23 Si 0.732 3.268 24 H -0.214 1.214 25 H -0.205 1.205 26 H -0.218 1.218 27 C 0.038 3.962 28 H 0.095 0.905 29 C -0.193 4.193 30 C -0.192 4.192 31 C -0.034 4.034 32 O -0.273 6.273 33 H 0.088 0.912 34 H 0.079 0.921 35 H 0.083 0.917 36 H 0.228 0.772 37 H 0.208 0.792 38 H 0.062 0.938 39 H 0.062 0.938 40 H 0.084 0.916 41 H 0.108 0.892 42 H 0.072 0.928 43 H 0.111 0.889 44 H 0.067 0.933 45 H 0.105 0.895 46 H 0.051 0.949 47 H 0.063 0.937 48 H 0.098 0.902 49 H 0.096 0.904 50 H 0.092 0.908 51 H 0.093 0.907 52 H 0.106 0.894 53 H 0.076 0.924 Dipole moment (debyes) X Y Z Total from point charges -5.812 -6.092 -17.839 19.726 hybrid contribution -0.300 1.059 0.716 1.313 sum -6.112 -5.033 -17.122 18.864 Atomic orbital electron populations 1.21707 0.92483 1.03418 1.02116 1.21416 0.98416 1.00336 0.92849 0.87547 1.20315 0.80662 0.84775 0.84457 1.90692 1.37963 1.26015 1.86725 1.46320 1.53141 1.31650 1.06010 1.25166 1.09185 0.94163 0.82980 1.21382 0.98174 0.97438 0.93569 0.93281 1.22080 0.99041 0.97528 0.97185 1.21522 0.91821 0.88749 0.93939 0.91606 1.23304 1.00713 0.97513 0.98326 1.23568 1.00847 0.96798 1.00087 1.21196 0.91743 0.95159 0.83709 0.89759 1.22214 0.99386 0.92982 1.00358 1.44954 1.76173 1.01709 1.07415 1.18822 1.21012 0.97085 0.99445 0.91643 1.25300 0.97424 0.98478 0.97436 1.69893 1.38381 1.11530 1.34239 0.86303 0.78178 0.78425 0.83929 1.21363 1.20501 1.21767 1.22699 0.97310 0.83425 0.92745 0.90537 1.23090 1.02570 0.98567 0.95085 1.22927 1.02430 0.95160 0.98703 1.23358 1.01264 0.96708 0.82111 1.89215 1.77415 1.35587 1.25114 0.91220 0.92148 0.91687 0.77198 0.79234 0.93831 0.93843 0.91623 0.89201 0.92825 0.88908 0.93337 0.89511 0.94876 0.93655 0.90163 0.90429 0.90827 0.90728 0.89408 0.92439 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 -0.14 -1.35 8.66 37.16 0.32 -1.03 16 2 C -0.11 -1.21 2.59 -91.77 -0.24 -1.45 16 3 H 0.11 0.97 8.14 -51.93 -0.42 0.55 16 4 C 0.51 7.71 6.84 -10.99 -0.08 7.63 16 5 O -0.54 -10.10 15.61 -1.01 -0.02 -10.12 16 6 N -0.72 -10.46 4.27 -60.30 -0.26 -10.72 16 7 C 0.00 0.07 2.68 -4.05 -0.01 0.05 16 8 C -0.09 -1.53 2.80 -90.11 -0.25 -1.78 16 9 H 0.05 0.82 8.14 -51.93 -0.42 0.40 16 10 C -0.12 -2.22 5.37 -26.29 -0.14 -2.36 16 11 C 0.15 3.02 4.31 -65.94 -0.28 2.73 16 12 H 0.07 1.33 8.14 -51.93 -0.42 0.91 16 13 C -0.16 -2.95 5.70 -25.41 -0.14 -3.09 16 14 C -0.17 -3.35 5.72 -25.20 -0.14 -3.50 16 15 C 0.19 4.20 3.10 -65.73 -0.20 4.00 16 16 H 0.08 2.15 7.31 -51.93 -0.38 1.77 16 17 C -0.11 -2.21 5.11 -25.93 -0.13 -2.35 16 18 N -0.58 -14.07 2.76 -152.99 -0.42 -14.49 16 19 C -0.23 -6.31 10.29 -15.06 -0.15 -6.46 16 20 H 0.07 1.75 7.83 -52.49 -0.41 1.34 16 21 C 0.01 0.35 5.48 -17.43 -0.10 0.26 16 22 N -0.90 -24.55 10.29 55.49 0.57 -23.98 16 23 Si 0.90 21.24 29.56 -169.99 -5.02 16.21 16 24 H -0.29 -6.79 7.11 56.52 0.40 -6.39 16 25 H -0.28 -6.51 7.11 56.52 0.40 -6.11 16 26 H -0.29 -6.93 7.11 56.52 0.40 -6.52 16 27 C 0.10 1.08 2.45 -25.95 -0.06 1.02 16 28 H 0.08 0.96 7.90 -51.93 -0.41 0.55 16 29 C -0.16 -1.23 6.47 -25.16 -0.16 -1.39 16 30 C -0.15 -1.11 7.09 -25.16 -0.18 -1.29 16 31 C 0.04 0.40 7.63 37.93 0.29 0.69 16 32 O -0.35 -4.63 9.92 -41.80 -0.41 -5.04 16 33 H 0.07 0.80 7.50 -51.93 -0.39 0.41 16 34 H 0.06 0.53 7.56 -51.93 -0.39 0.14 16 35 H 0.06 0.51 6.39 -51.93 -0.33 0.17 16 36 H 0.39 5.04 6.73 -40.82 -0.27 4.76 16 37 H 0.19 3.35 1.11 -166.49 -0.19 3.17 16 38 H 0.04 0.75 7.99 -51.93 -0.42 0.34 16 39 H 0.04 0.72 8.14 -51.93 -0.42 0.29 16 40 H 0.07 1.36 8.14 -51.93 -0.42 0.94 16 41 H 0.09 1.55 4.83 -51.93 -0.25 1.30 16 42 H 0.05 0.96 8.14 -51.93 -0.42 0.54 16 43 H 0.09 1.67 3.95 -51.93 -0.21 1.46 16 44 H 0.05 0.94 8.14 -51.92 -0.42 0.51 16 45 H 0.09 2.07 7.02 -51.93 -0.36 1.70 16 46 H 0.03 0.59 6.72 -51.93 -0.35 0.24 16 47 H 0.25 6.79 8.31 -40.82 -0.34 6.45 16 48 H 0.08 0.57 6.11 -51.93 -0.32 0.25 16 49 H 0.08 0.53 8.14 -51.93 -0.42 0.11 16 50 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 51 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 52 H 0.09 0.69 8.14 -51.93 -0.42 0.27 16 53 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 LS Contribution 380.98 15.07 5.74 5.74 Total: -1.00 -30.63 380.98 -10.38 -41.01 By element: Atomic # 1 Polarization: 18.60 SS G_CDS: -8.88 Total: 9.71 kcal Atomic # 6 Polarization: -6.65 SS G_CDS: -1.67 Total: -8.32 kcal Atomic # 7 Polarization: -49.08 SS G_CDS: -0.11 Total: -49.19 kcal Atomic # 8 Polarization: -14.73 SS G_CDS: -0.43 Total: -15.16 kcal Atomic # 14 Polarization: 21.24 SS G_CDS: -5.02 Total: 16.21 kcal Total LS contribution 5.74 Total: 5.74 kcal Total: -30.63 -10.38 -41.01 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. ZINC001271744112.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 68.058 kcal (2) G-P(sol) polarization free energy of solvation -30.632 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 37.426 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.376 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.008 kcal (6) G-S(sol) free energy of system = (1) + (5) 27.050 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.98 seconds