Wall clock time and date at job start Sat Apr 11 2020 06:13:32 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 1.52994 * 1 3 3 C 1.53001 * 109.46828 * 2 1 4 4 N 1.46495 * 109.47548 * 120.00164 * 2 1 3 5 5 C 1.34778 * 120.00415 * 154.99885 * 4 2 1 6 6 O 1.21279 * 119.99634 * 0.02562 * 5 4 2 7 7 C 1.50695 * 120.00087 * 180.02562 * 5 4 2 8 8 N 1.46901 * 109.47069 * 179.97438 * 7 5 4 9 9 C 1.46906 * 110.99703 * 66.04710 * 8 7 5 10 10 C 1.46897 * 111.00251 * 190.00069 * 8 7 5 11 11 C 1.50704 * 109.47317 * 170.00395 * 10 8 7 12 12 O 1.21276 * 120.00040 * 359.97438 * 11 10 8 13 13 N 1.34780 * 119.99770 * 179.97438 * 11 10 8 14 14 C 1.47743 * 125.81887 * 179.97438 * 13 11 10 15 15 C 1.54909 * 104.83995 * 155.82587 * 14 13 11 16 16 H 1.08989 * 111.04037 * 279.00643 * 15 14 13 17 17 C 1.53010 * 111.00288 * 155.16710 * 15 14 13 18 18 C 1.55159 * 101.57990 * 37.09908 * 15 14 13 19 19 H 1.09004 * 110.72010 * 206.13157 * 18 15 14 20 20 N 1.46501 * 110.72431 * 82.85828 * 18 15 14 21 21 C 1.36932 * 120.00386 * 160.02463 * 20 18 15 22 22 H 1.08009 * 119.99883 * 359.97438 * 21 20 18 23 23 C 1.38813 * 120.00314 * 179.97438 * 21 20 18 24 24 N 1.31620 * 119.99928 * 180.02562 * 23 21 20 25 25 Si 1.86796 * 119.99689 * 0.02562 * 23 21 20 26 26 H 1.48499 * 109.47546 * 90.00289 * 25 23 21 27 27 H 1.48502 * 109.47170 * 209.99994 * 25 23 21 28 28 H 1.48497 * 109.47512 * 329.99564 * 25 23 21 29 29 C 1.47020 * 125.64983 * 0.02562 * 13 11 10 30 30 H 1.09002 * 109.47359 * 299.99441 * 1 2 3 31 31 H 1.08999 * 109.47747 * 60.00009 * 1 2 3 32 32 H 1.09000 * 109.47118 * 179.97438 * 1 2 3 33 33 H 1.09002 * 109.46862 * 240.00379 * 2 1 3 34 34 H 1.09008 * 109.46900 * 179.97438 * 3 2 1 35 35 H 1.08997 * 109.47370 * 300.00160 * 3 2 1 36 36 H 1.09002 * 109.47089 * 60.00519 * 3 2 1 37 37 H 0.97000 * 119.99707 * 335.00561 * 4 2 1 38 38 H 1.09000 * 109.47444 * 60.00124 * 7 5 4 39 39 H 1.09003 * 109.47438 * 299.99752 * 7 5 4 40 40 H 1.09001 * 109.47206 * 183.95532 * 9 8 7 41 41 H 1.09003 * 109.47127 * 303.94938 * 9 8 7 42 42 H 1.09001 * 109.47189 * 63.95598 * 9 8 7 43 43 H 1.08992 * 109.47200 * 49.99877 * 10 8 7 44 44 H 1.09005 * 109.46707 * 290.00341 * 10 8 7 45 45 H 1.09003 * 110.29227 * 37.02448 * 14 13 11 46 46 H 1.08996 * 110.53057 * 274.75660 * 14 13 11 47 47 H 1.08996 * 109.46861 * 307.81105 * 17 15 14 48 48 H 1.08998 * 109.46481 * 67.80518 * 17 15 14 49 49 H 1.09002 * 109.46945 * 187.80738 * 17 15 14 50 50 H 0.97003 * 119.99337 * 340.02145 * 20 18 15 51 51 H 0.96999 * 119.99334 * 180.02562 * 24 23 21 52 52 H 1.09002 * 109.88367 * 61.60808 * 29 13 11 53 53 H 1.09000 * 109.88319 * 300.59426 * 29 13 11 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 1.5299 0.0000 0.0000 3 6 2.0399 1.4425 0.0000 4 7 2.0184 -0.6906 1.1961 5 6 3.2403 -1.2592 1.1943 6 8 3.9358 -1.1986 0.2025 7 6 3.7425 -1.9700 2.4245 8 7 5.0889 -2.4990 2.1691 9 6 6.0549 -1.4091 1.9765 10 6 5.5162 -3.3960 3.2510 11 6 6.7817 -4.1062 2.8446 12 8 7.2786 -3.8870 1.7602 13 7 7.3614 -4.9849 3.6863 14 6 8.5972 -5.7499 3.4211 15 6 9.1620 -6.0898 4.8229 16 1 9.7102 -5.2448 5.2393 17 6 10.0432 -7.3396 4.7709 18 6 7.8618 -6.3592 5.6256 19 1 8.0165 -6.1645 6.6869 20 7 7.3953 -7.7313 5.4115 21 6 6.5338 -8.3090 6.3055 22 1 6.1986 -7.7532 7.1688 23 6 6.0913 -9.6089 6.1024 24 7 5.2629 -10.1640 6.9615 25 14 6.6717 -10.5704 4.6097 26 1 7.9134 -11.3106 4.9497 27 1 5.6178 -11.5334 4.2008 28 1 6.9451 -9.6319 3.4919 29 6 6.8678 -5.3435 5.0239 30 1 -0.3634 0.5137 0.8900 31 1 -0.3634 0.5138 -0.8899 32 1 -0.3633 -1.0277 -0.0005 33 1 1.8932 -0.5138 -0.8900 34 1 3.1300 1.4425 0.0005 35 1 1.6765 1.9564 -0.8899 36 1 1.6766 1.9563 0.8900 37 1 1.4622 -0.7388 1.9893 38 1 3.0699 -2.7922 2.6690 39 1 3.7790 -1.2700 3.2592 40 1 7.0282 -1.8273 1.7199 41 1 5.7143 -0.7600 1.1697 42 1 6.1389 -0.8312 2.8969 43 1 4.7339 -4.1299 3.4448 44 1 5.7001 -2.8140 4.1542 45 1 9.3076 -5.1393 2.8638 46 1 8.3706 -6.6636 2.8716 47 1 9.4964 -8.1498 4.2887 48 1 10.9476 -7.1229 4.2024 49 1 10.3133 -7.6361 5.7844 50 1 7.6966 -8.2306 4.6363 51 1 4.9541 -11.0725 6.8196 52 1 5.8789 -5.7951 4.9454 53 1 6.8203 -4.4541 5.6523 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 ZINC001281406627.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 06:13:32 Heat of formation + Delta-G solvation = -38.338675 kcal Electronic energy + Delta-G solvation = -30454.231482 eV Core-core repulsion = 26361.899485 eV Total energy + Delta-G solvation = -4092.331997 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.90 seconds Orbital eigenvalues (eV) -40.31019 -39.78768 -38.06471 -36.70167 -35.68581 -34.04679 -32.51976 -32.03790 -30.89003 -29.06969 -28.17460 -27.90215 -27.62548 -25.97642 -23.79428 -23.31827 -21.98037 -21.36287 -20.62571 -19.47874 -18.92828 -17.93491 -17.36844 -16.95191 -16.31666 -16.17273 -15.88938 -15.31400 -14.94557 -14.93313 -14.49532 -14.33784 -14.16942 -14.07582 -13.80202 -13.35930 -13.25281 -13.08986 -12.82724 -12.70979 -12.70503 -12.55601 -12.28023 -12.12046 -12.04213 -11.81854 -11.75662 -11.56520 -11.53964 -11.41969 -11.33483 -11.07649 -10.86864 -10.58029 -10.33676 -10.04448 -9.98973 -9.65341 -9.48654 -9.35881 -9.06375 -8.42026 -8.28063 -7.40661 -5.87390 -3.24216 2.48172 2.68942 2.87960 3.20269 3.31847 3.35169 3.40897 3.94481 4.38550 4.50623 4.58817 4.60556 4.67709 4.85413 4.90616 4.96841 5.02385 5.05178 5.10377 5.15577 5.19161 5.28071 5.28823 5.30589 5.36871 5.50222 5.51795 5.54023 5.60749 5.64926 5.71743 5.77437 5.81580 5.86070 5.98441 6.06221 6.16275 6.18095 6.22387 6.29574 6.37393 6.51127 6.61209 6.65872 6.76764 6.85580 7.27161 7.83200 7.87449 8.07706 8.31579 8.45774 9.08877 9.81571 10.00239 11.30293 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.014485 B = 0.002318 C = 0.002114 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1932.609687 B =12075.165985 C =13241.987777 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.160 4.160 2 C 0.137 3.863 3 C -0.163 4.163 4 N -0.733 5.733 5 C 0.515 3.485 6 O -0.514 6.514 7 C 0.035 3.965 8 N -0.507 5.507 9 C 0.016 3.984 10 C 0.042 3.958 11 C 0.529 3.471 12 O -0.532 6.532 13 N -0.612 5.612 14 C 0.116 3.884 15 C -0.116 4.116 16 H 0.084 0.916 17 C -0.133 4.133 18 C 0.179 3.821 19 H 0.079 0.921 20 N -0.737 5.737 21 C -0.250 4.250 22 H 0.092 0.908 23 C 0.010 3.990 24 N -0.929 5.929 25 Si 0.879 3.121 26 H -0.282 1.282 27 H -0.290 1.290 28 H -0.277 1.277 29 C 0.070 3.930 30 H 0.060 0.940 31 H 0.071 0.929 32 H 0.062 0.938 33 H 0.088 0.912 34 H 0.060 0.940 35 H 0.064 0.936 36 H 0.055 0.945 37 H 0.399 0.601 38 H 0.106 0.894 39 H 0.064 0.936 40 H 0.089 0.911 41 H 0.083 0.917 42 H 0.014 0.986 43 H 0.106 0.894 44 H 0.064 0.936 45 H 0.071 0.929 46 H 0.065 0.935 47 H 0.058 0.942 48 H 0.049 0.951 49 H 0.065 0.935 50 H 0.364 0.636 51 H 0.261 0.739 52 H 0.080 0.920 53 H 0.057 0.943 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.665 21.645 -7.068 23.243 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 -0.218 4.218 2 C 0.032 3.968 3 C -0.222 4.222 4 N -0.387 5.387 5 C 0.301 3.699 6 O -0.388 6.388 7 C -0.096 4.096 8 N -0.231 5.231 9 C -0.132 4.132 10 C -0.089 4.089 11 C 0.316 3.684 12 O -0.408 6.408 13 N -0.347 5.347 14 C -0.007 4.007 15 C -0.136 4.136 16 H 0.102 0.898 17 C -0.191 4.191 18 C 0.067 3.933 19 H 0.097 0.903 20 N -0.379 5.379 21 C -0.379 4.379 22 H 0.110 0.890 23 C -0.186 4.186 24 N -0.576 5.576 25 Si 0.709 3.291 26 H -0.209 1.209 27 H -0.216 1.216 28 H -0.203 1.203 29 C -0.056 4.056 30 H 0.079 0.921 31 H 0.090 0.910 32 H 0.081 0.919 33 H 0.106 0.894 34 H 0.079 0.921 35 H 0.083 0.917 36 H 0.074 0.926 37 H 0.232 0.768 38 H 0.124 0.876 39 H 0.082 0.918 40 H 0.108 0.892 41 H 0.102 0.898 42 H 0.032 0.968 43 H 0.124 0.876 44 H 0.082 0.918 45 H 0.089 0.911 46 H 0.083 0.917 47 H 0.077 0.923 48 H 0.068 0.932 49 H 0.084 0.916 50 H 0.199 0.801 51 H 0.071 0.929 52 H 0.098 0.902 53 H 0.076 0.924 Dipole moment (debyes) X Y Z Total from point charges -4.103 21.504 -8.677 23.549 hybrid contribution -0.204 -0.420 0.237 0.524 sum -4.307 21.084 -8.440 23.115 Atomic orbital electron populations 1.22075 0.94132 1.02739 1.02861 1.20907 0.93899 0.92940 0.89038 1.22186 1.02167 0.95851 1.01956 1.46115 1.18126 1.57610 1.16846 1.20530 0.81237 0.78284 0.89884 1.90707 1.55528 1.58015 1.34547 1.22001 0.92873 0.99831 0.94929 1.61266 1.00645 1.19181 1.41989 1.22714 0.97825 0.92745 0.99898 1.21960 0.96954 0.97049 0.92888 1.19960 0.85283 0.79206 0.83910 1.90663 1.64459 1.64180 1.21538 1.48538 1.26716 1.41650 1.17784 1.22276 0.85760 0.95525 0.97113 1.22648 0.96885 0.98883 0.95219 0.89787 1.21565 0.98201 0.96772 1.02517 1.21152 0.89605 0.85037 0.97493 0.90345 1.42812 1.55919 1.10645 1.28573 1.19034 1.18935 0.96656 1.03299 0.88978 1.24649 0.99074 0.96984 0.97910 1.69691 1.36255 1.14862 1.36824 0.86648 0.78385 0.80379 0.83699 1.20873 1.21647 1.20284 1.23223 1.01359 0.98763 0.82246 0.92086 0.90977 0.91863 0.89411 0.92085 0.91697 0.92581 0.76757 0.87575 0.91810 0.89241 0.89811 0.96801 0.87596 0.91850 0.91106 0.91702 0.92299 0.93195 0.91608 0.80144 0.92933 0.90218 0.92449 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.16 -0.77 9.38 37.15 0.35 -0.42 16 2 C 0.14 1.00 3.18 -67.94 -0.22 0.78 16 3 C -0.16 -1.12 9.48 37.16 0.35 -0.77 16 4 N -0.73 -5.51 5.08 -53.81 -0.27 -5.78 16 5 C 0.52 5.70 7.49 -10.99 -0.08 5.61 16 6 O -0.51 -7.96 13.99 5.56 0.08 -7.88 16 7 C 0.03 0.34 5.45 -4.98 -0.03 0.31 16 8 N -0.51 -6.88 4.24 -245.82 -1.04 -7.92 16 9 C 0.02 0.21 8.85 60.07 0.53 0.74 16 10 C 0.04 0.55 4.64 -4.98 -0.02 0.52 16 11 C 0.53 8.73 7.58 -10.98 -0.08 8.65 16 12 O -0.53 -10.53 14.58 5.56 0.08 -10.45 16 13 N -0.61 -9.76 3.34 -170.26 -0.57 -10.32 16 14 C 0.12 1.81 6.38 -2.35 -0.02 1.79 16 15 C -0.12 -1.66 3.51 -88.47 -0.31 -1.97 16 16 H 0.08 1.04 8.14 -51.94 -0.42 0.62 16 17 C -0.13 -1.87 8.85 37.16 0.33 -1.54 16 18 C 0.18 3.01 3.37 -66.09 -0.22 2.79 16 19 H 0.08 1.30 8.12 -51.93 -0.42 0.88 16 20 N -0.74 -15.74 4.42 -51.65 -0.23 -15.97 16 21 C -0.25 -6.46 10.46 -15.06 -0.16 -6.62 16 22 H 0.09 2.53 8.06 -52.48 -0.42 2.10 16 23 C 0.01 0.29 5.50 -17.43 -0.10 0.19 16 24 N -0.93 -27.88 13.97 55.49 0.78 -27.10 16 25 Si 0.88 21.39 27.74 -169.99 -4.71 16.67 16 26 H -0.28 -6.80 7.11 56.52 0.40 -6.40 16 27 H -0.29 -7.25 7.11 56.52 0.40 -6.85 16 28 H -0.28 -6.45 6.52 56.52 0.37 -6.09 16 29 C 0.07 1.08 6.22 -3.07 -0.02 1.06 16 30 H 0.06 0.23 8.14 -51.93 -0.42 -0.19 16 31 H 0.07 0.29 8.14 -51.93 -0.42 -0.13 16 32 H 0.06 0.32 8.14 -51.93 -0.42 -0.10 16 33 H 0.09 0.84 7.58 -51.93 -0.39 0.45 16 34 H 0.06 0.55 8.14 -51.92 -0.42 0.13 16 35 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 36 H 0.06 0.33 8.14 -51.93 -0.42 -0.09 16 37 H 0.40 1.84 8.60 -40.82 -0.35 1.48 16 38 H 0.11 0.85 7.93 -51.93 -0.41 0.44 16 39 H 0.06 0.47 8.12 -51.93 -0.42 0.05 16 40 H 0.09 1.43 5.88 -51.93 -0.31 1.12 16 41 H 0.08 1.21 5.82 -51.93 -0.30 0.91 16 42 H 0.01 0.16 8.14 -51.93 -0.42 -0.27 16 43 H 0.11 1.27 7.93 -51.93 -0.41 0.86 16 44 H 0.06 0.69 8.12 -51.93 -0.42 0.26 16 45 H 0.07 1.07 8.05 -51.93 -0.42 0.65 16 46 H 0.06 1.11 7.98 -51.93 -0.41 0.69 16 47 H 0.06 0.94 6.37 -51.93 -0.33 0.61 16 48 H 0.05 0.59 8.14 -51.93 -0.42 0.17 16 49 H 0.06 0.93 8.14 -51.93 -0.42 0.51 16 50 H 0.36 7.91 3.96 -40.82 -0.16 7.75 16 51 H 0.26 7.51 8.31 -40.82 -0.34 7.17 16 52 H 0.08 1.38 8.04 -51.93 -0.42 0.96 16 53 H 0.06 0.74 8.14 -51.93 -0.42 0.31 16 LS Contribution 416.87 15.07 6.28 6.28 Total: -1.00 -34.65 416.87 -8.73 -43.38 By element: Atomic # 1 Polarization: 17.39 SS G_CDS: -9.43 Total: 7.96 kcal Atomic # 6 Polarization: 10.83 SS G_CDS: 0.31 Total: 11.14 kcal Atomic # 7 Polarization: -65.77 SS G_CDS: -1.34 Total: -67.10 kcal Atomic # 8 Polarization: -18.49 SS G_CDS: 0.16 Total: -18.33 kcal Atomic # 14 Polarization: 21.39 SS G_CDS: -4.71 Total: 16.67 kcal Total LS contribution 6.28 Total: 6.28 kcal Total: -34.65 -8.73 -43.38 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. ZINC001281406627.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 5.039 kcal (2) G-P(sol) polarization free energy of solvation -34.651 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -29.612 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.727 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.378 kcal (6) G-S(sol) free energy of system = (1) + (5) -38.339 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.90 seconds