Wall clock time and date at job start Tue Mar 31 2020 20:33:34 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 1.53010 * 1 3 3 H 1.09003 * 109.46814 * 2 1 4 4 O 1.42902 * 109.46917 * 240.00198 * 2 1 3 5 5 C 1.42901 * 113.99948 * 90.00271 * 4 2 1 6 6 C 1.52998 * 109.47145 * 180.02562 * 5 4 2 7 7 C 1.52994 * 117.49869 * 174.99789 * 6 5 4 8 8 C 1.52996 * 117.49721 * 243.62302 * 6 5 4 9 9 C 1.50699 * 109.46970 * 120.00160 * 2 1 3 10 10 O 1.21280 * 119.99720 * 108.98678 * 9 2 1 11 11 N 1.34776 * 120.00305 * 288.98519 * 9 2 1 12 12 C 1.47476 * 125.66317 * 184.46914 * 11 9 2 13 13 C 1.55239 * 104.79053 * 155.92813 * 12 11 9 14 14 C 1.54510 * 101.44204 * 36.66521 * 13 12 11 15 15 C 1.47171 * 125.65669 * 4.77500 * 11 9 2 16 16 C 1.52278 * 110.20313 * 83.41972 * 14 13 12 17 17 C 1.53315 * 109.41604 * 182.20240 * 16 14 13 18 18 N 1.46925 * 108.70940 * 306.49197 * 17 16 14 19 19 C 1.36943 * 120.56415 * 234.21526 * 18 17 16 20 20 H 1.07998 * 119.99795 * 150.64329 * 19 18 17 21 21 C 1.38809 * 119.99808 * 330.63945 * 19 18 17 22 22 N 1.31614 * 120.00271 * 341.45883 * 21 19 18 23 23 Si 1.86801 * 119.99695 * 161.46333 * 21 19 18 24 24 H 1.48500 * 109.47465 * 94.97370 * 23 21 19 25 25 H 1.48506 * 109.47063 * 214.97636 * 23 21 19 26 26 H 1.48506 * 109.47036 * 334.97153 * 23 21 19 27 27 C 1.46936 * 118.87320 * 54.23457 * 18 17 16 28 28 C 1.52268 * 110.21303 * 206.60978 * 14 13 12 29 29 H 1.08997 * 109.46774 * 306.13563 * 1 2 3 30 30 H 1.08996 * 109.47119 * 66.13524 * 1 2 3 31 31 H 1.08995 * 109.46980 * 186.13460 * 1 2 3 32 32 H 1.08990 * 109.47484 * 59.99401 * 5 4 2 33 33 H 1.09004 * 109.46906 * 299.99674 * 5 4 2 34 34 H 1.09000 * 115.56281 * 29.30871 * 6 5 4 35 35 H 1.09000 * 117.50516 * 359.97438 * 7 6 5 36 36 H 1.09006 * 117.49708 * 214.97525 * 7 6 5 37 37 H 1.08997 * 117.50141 * 145.02000 * 8 6 5 38 38 H 1.08995 * 117.50389 * 359.97438 * 8 6 5 39 39 H 1.08996 * 110.35343 * 274.87637 * 12 11 9 40 40 H 1.09001 * 110.35232 * 37.16545 * 12 11 9 41 41 H 1.08997 * 111.20401 * 278.56907 * 13 12 11 42 42 H 1.09006 * 110.91104 * 154.63401 * 13 12 11 43 43 H 1.08996 * 109.91343 * 300.83830 * 15 11 9 44 44 H 1.09001 * 109.91300 * 61.91796 * 15 11 9 45 45 H 1.08997 * 109.47908 * 302.18226 * 16 14 13 46 46 H 1.08997 * 109.47736 * 62.21987 * 16 14 13 47 47 H 1.09006 * 109.59277 * 186.72849 * 17 16 14 48 48 H 1.09001 * 109.60061 * 66.26130 * 17 16 14 49 49 H 0.97005 * 120.00168 * 179.97438 * 22 21 19 50 50 H 1.09002 * 109.59952 * 185.99004 * 27 18 17 51 51 H 1.09004 * 109.72534 * 65.60251 * 27 18 17 52 52 H 1.09003 * 109.48146 * 297.77696 * 28 14 13 53 53 H 1.09003 * 109.47882 * 57.79398 * 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 1.5301 0.0000 0.0000 3 1 1.8934 1.0277 0.0000 4 8 2.0064 -0.6736 -1.1668 5 6 2.2002 0.1830 -2.2941 6 6 2.7079 -0.6407 -3.4792 7 6 2.8666 0.0763 -4.8215 8 6 4.1048 -0.3207 -4.0151 9 6 2.0324 -0.7104 1.2304 10 8 2.5567 -1.7995 1.1303 11 7 1.8990 -0.1357 2.4422 12 6 2.4252 -0.6724 3.7110 13 6 2.5719 0.5665 4.6349 14 6 1.3381 1.4018 4.2257 15 6 1.1987 1.1287 2.7196 16 6 0.1038 0.9186 4.9752 17 6 -1.1185 1.7219 4.5157 18 7 -0.8224 3.1539 4.6590 19 6 -1.6561 3.9689 5.3773 20 1 -1.2596 4.8386 5.8801 21 6 -3.0108 3.6773 5.4589 22 7 -3.5630 2.8646 4.5832 23 14 -4.0501 4.4385 6.8116 24 1 -4.7069 5.6677 6.2990 25 1 -5.0866 3.4674 7.2453 26 1 -3.1829 4.7854 7.9662 27 6 0.3833 3.6967 4.0181 28 6 1.5958 2.8806 4.4811 29 1 -0.3633 0.6060 0.8300 30 1 -0.3633 0.4158 -0.9398 31 1 -0.3633 -1.0217 0.1098 32 1 2.9319 0.9514 -2.0450 33 1 1.2538 0.6548 -2.5588 34 1 2.3874 -1.6823 -3.4998 35 1 2.6089 1.1347 -4.8604 36 1 2.6505 -0.4937 -5.7251 37 1 4.7033 -1.1517 -4.3882 38 1 4.6619 0.4768 -3.5236 39 1 1.7233 -1.3874 4.1403 40 1 3.3956 -1.1421 3.5505 41 1 3.4957 1.1062 4.4269 42 1 2.5177 0.2777 5.6846 43 1 1.6560 1.9387 2.1516 44 1 0.1460 1.0363 2.4522 45 1 -0.0571 -0.1391 4.7668 46 1 0.2502 1.0602 6.0460 47 1 -1.9791 1.4630 5.1326 48 1 -1.3332 1.4957 3.4712 49 1 -4.5096 2.6606 4.6405 50 1 0.5127 4.7398 4.3067 51 1 0.2873 3.6264 2.9345 52 1 1.7576 3.0427 5.5468 53 1 2.4798 3.1965 3.9271 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 ZINC001733286447.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 20:33:34 Heat of formation + Delta-G solvation = -33.940125 kcal Electronic energy + Delta-G solvation = -30720.293188 eV Core-core repulsion = 26786.315226 eV Total energy + Delta-G solvation = -3933.977961 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.08 seconds Orbital eigenvalues (eV) -40.54832 -39.08357 -38.08254 -36.65815 -35.76400 -33.19357 -32.04594 -30.78642 -30.07423 -29.21296 -27.31096 -26.60091 -25.14998 -23.87440 -22.68009 -22.52706 -22.16399 -21.04426 -20.68899 -19.39339 -18.33581 -17.46156 -16.77740 -16.59935 -16.06558 -15.93369 -15.41306 -14.97328 -14.79199 -14.29770 -14.22368 -14.04609 -13.82856 -13.40441 -13.27059 -13.21736 -12.93384 -12.81202 -12.57936 -12.46902 -12.05342 -12.03188 -11.85717 -11.69361 -11.55117 -11.37959 -11.28218 -11.13342 -10.97424 -10.75186 -10.74683 -10.56236 -10.51187 -10.29767 -10.24004 -9.93898 -9.86951 -9.58677 -9.50918 -9.34170 -8.55707 -8.46881 -6.70740 -5.85314 -3.27565 2.66287 2.69632 3.33289 3.41590 3.42280 3.43597 3.73645 4.39099 4.45240 4.54311 4.59767 4.69045 4.75300 4.80200 4.89345 4.93697 5.03851 5.06104 5.21369 5.30209 5.32879 5.34017 5.34769 5.38898 5.52782 5.58051 5.58780 5.61244 5.64882 5.76843 5.80210 5.85454 5.90842 5.92371 5.95994 6.01192 6.12836 6.17108 6.22307 6.31459 6.41855 6.53974 6.59743 6.65925 6.77454 6.88059 6.97311 7.25739 7.54392 7.59025 7.75653 8.23686 8.39896 9.15516 9.79001 10.35945 11.23137 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.015295 B = 0.002733 C = 0.002509 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1830.277867 B =10244.088467 C =11157.815429 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.175 4.175 2 C 0.078 3.922 3 H 0.083 0.917 4 O -0.356 6.356 5 C 0.090 3.910 6 C -0.151 4.151 7 C -0.174 4.174 8 C -0.178 4.178 9 C 0.532 3.468 10 O -0.529 6.529 11 N -0.614 5.614 12 C 0.110 3.890 13 C -0.127 4.127 14 C -0.054 4.054 15 C 0.102 3.898 16 C -0.129 4.129 17 C 0.172 3.828 18 N -0.590 5.590 19 C -0.255 4.255 20 H 0.064 0.936 21 C 0.005 3.995 22 N -0.900 5.900 23 Si 0.898 3.102 24 H -0.288 1.288 25 H -0.289 1.289 26 H -0.279 1.279 27 C 0.144 3.856 28 C -0.119 4.119 29 H 0.082 0.918 30 H 0.070 0.930 31 H 0.069 0.931 32 H 0.051 0.949 33 H 0.057 0.943 34 H 0.115 0.885 35 H 0.095 0.905 36 H 0.098 0.902 37 H 0.096 0.904 38 H 0.095 0.905 39 H 0.068 0.932 40 H 0.072 0.928 41 H 0.072 0.928 42 H 0.083 0.917 43 H 0.065 0.935 44 H 0.084 0.916 45 H 0.050 0.950 46 H 0.061 0.939 47 H 0.084 0.916 48 H 0.019 0.981 49 H 0.254 0.746 50 H 0.054 0.946 51 H 0.016 0.984 52 H 0.065 0.935 53 H 0.052 0.948 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 12.744 -4.031 -10.708 17.127 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 -0.232 4.232 2 C 0.017 3.983 3 H 0.101 0.899 4 O -0.274 6.274 5 C 0.013 3.987 6 C -0.169 4.169 7 C -0.211 4.211 8 C -0.215 4.215 9 C 0.319 3.681 10 O -0.405 6.405 11 N -0.350 5.350 12 C -0.012 4.012 13 C -0.166 4.166 14 C -0.054 4.054 15 C -0.020 4.020 16 C -0.168 4.168 17 C 0.046 3.954 18 N -0.312 5.312 19 C -0.384 4.384 20 H 0.082 0.918 21 C -0.194 4.194 22 N -0.544 5.544 23 Si 0.728 3.272 24 H -0.215 1.215 25 H -0.216 1.216 26 H -0.204 1.204 27 C 0.017 3.983 28 C -0.158 4.158 29 H 0.100 0.900 30 H 0.089 0.911 31 H 0.088 0.912 32 H 0.069 0.931 33 H 0.075 0.925 34 H 0.133 0.867 35 H 0.114 0.886 36 H 0.116 0.884 37 H 0.114 0.886 38 H 0.113 0.887 39 H 0.086 0.914 40 H 0.091 0.909 41 H 0.091 0.909 42 H 0.102 0.898 43 H 0.083 0.917 44 H 0.102 0.898 45 H 0.069 0.931 46 H 0.080 0.920 47 H 0.102 0.898 48 H 0.037 0.963 49 H 0.064 0.936 50 H 0.073 0.927 51 H 0.034 0.966 52 H 0.083 0.917 53 H 0.071 0.929 Dipole moment (debyes) X Y Z Total from point charges 12.886 -4.897 -10.876 17.559 hybrid contribution -0.735 0.685 0.660 1.202 sum 12.150 -4.211 -10.216 16.423 Atomic orbital electron populations 1.22303 0.93037 1.04060 1.03840 1.21812 0.95501 0.95879 0.85146 0.89925 1.88014 1.86526 1.34069 1.18784 1.22116 0.99367 0.91921 0.85262 1.22102 1.00377 1.01127 0.93304 1.22983 1.02464 1.01171 0.94501 1.23069 0.90883 1.03586 1.03918 1.19953 0.79256 0.85743 0.83154 1.90693 1.43865 1.20134 1.85796 1.48525 1.55567 1.24542 1.06343 1.22274 0.99138 0.96553 0.83201 1.22945 0.98528 0.95588 0.99492 1.20945 0.95467 0.96216 0.92820 1.22439 0.97734 0.84618 0.97201 1.22122 0.96164 0.98882 0.99654 1.20781 0.93865 0.82490 0.98226 1.44014 1.24080 1.03810 1.59319 1.19135 0.87975 1.08076 1.23259 0.91828 1.25039 0.96510 0.99698 0.98129 1.70038 1.11163 1.39300 1.33850 0.86352 0.80125 0.78482 0.82236 1.21468 1.21559 1.20410 1.20945 0.86756 0.95856 0.94708 1.21940 0.98878 0.93388 1.01628 0.89960 0.91068 0.91172 0.93100 0.92510 0.86689 0.88609 0.88386 0.88595 0.88680 0.91357 0.90922 0.90944 0.89848 0.91656 0.89788 0.93108 0.92049 0.89793 0.96323 0.93632 0.92722 0.96568 0.91663 0.92943 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -0.17 -2.18 9.37 37.16 0.35 -1.83 16 2 C 0.08 1.04 2.54 -27.88 -0.07 0.97 16 3 H 0.08 0.94 7.55 -51.93 -0.39 0.55 16 4 O -0.36 -5.04 9.54 -54.90 -0.52 -5.57 16 5 C 0.09 0.95 6.03 37.16 0.22 1.17 16 6 C -0.15 -1.46 6.06 -90.63 -0.55 -2.01 16 7 C -0.17 -1.30 10.25 -26.73 -0.27 -1.57 16 8 C -0.18 -1.47 10.18 -26.73 -0.27 -1.74 16 9 C 0.53 8.51 7.18 -10.99 -0.08 8.43 16 10 O -0.53 -10.36 16.83 -14.11 -0.24 -10.59 16 11 N -0.61 -8.92 3.33 -170.54 -0.57 -9.49 16 12 C 0.11 1.47 6.58 -2.32 -0.02 1.46 16 13 C -0.13 -1.56 6.00 -24.75 -0.15 -1.71 16 14 C -0.05 -0.78 0.53 -154.09 -0.08 -0.86 16 15 C 0.10 1.45 4.19 -3.31 -0.01 1.43 16 16 C -0.13 -2.21 4.78 -26.94 -0.13 -2.34 16 17 C 0.17 3.74 5.03 -3.65 -0.02 3.72 16 18 N -0.59 -13.56 2.97 -172.16 -0.51 -14.07 16 19 C -0.25 -6.62 9.55 -15.06 -0.14 -6.76 16 20 H 0.06 1.64 7.90 -52.49 -0.41 1.22 16 21 C 0.01 0.14 4.86 -17.43 -0.08 0.06 16 22 N -0.90 -25.01 11.38 55.49 0.63 -24.38 16 23 Si 0.90 20.94 29.59 -169.99 -5.03 15.91 16 24 H -0.29 -6.74 7.11 56.52 0.40 -6.34 16 25 H -0.29 -6.82 7.11 56.52 0.40 -6.42 16 26 H -0.28 -6.39 7.11 56.52 0.40 -5.99 16 27 C 0.14 2.70 6.24 -3.64 -0.02 2.67 16 28 C -0.12 -1.79 4.70 -26.94 -0.13 -1.92 16 29 H 0.08 1.06 5.55 -51.93 -0.29 0.77 16 30 H 0.07 0.76 7.77 -51.93 -0.40 0.36 16 31 H 0.07 0.93 8.14 -51.93 -0.42 0.51 16 32 H 0.05 0.49 7.82 -51.93 -0.41 0.08 16 33 H 0.06 0.53 7.77 -51.93 -0.40 0.13 16 34 H 0.12 1.20 8.14 -51.93 -0.42 0.77 16 35 H 0.10 0.63 8.14 -51.93 -0.42 0.21 16 36 H 0.10 0.63 8.14 -51.93 -0.42 0.21 16 37 H 0.10 0.72 8.14 -51.93 -0.42 0.30 16 38 H 0.09 0.75 8.03 -51.93 -0.42 0.33 16 39 H 0.07 0.92 7.74 -51.93 -0.40 0.52 16 40 H 0.07 0.96 8.08 -51.93 -0.42 0.54 16 41 H 0.07 0.82 8.01 -51.93 -0.42 0.41 16 42 H 0.08 0.95 8.01 -51.93 -0.42 0.53 16 43 H 0.07 0.86 7.42 -51.93 -0.39 0.47 16 44 H 0.08 1.32 4.02 -51.93 -0.21 1.11 16 45 H 0.05 0.82 7.47 -51.93 -0.39 0.43 16 46 H 0.06 1.08 8.14 -51.93 -0.42 0.66 16 47 H 0.08 2.11 6.17 -51.93 -0.32 1.79 16 48 H 0.02 0.42 6.53 -51.93 -0.34 0.08 16 49 H 0.25 6.87 8.31 -40.82 -0.34 6.53 16 50 H 0.05 1.03 7.93 -51.93 -0.41 0.61 16 51 H 0.02 0.30 7.48 -51.93 -0.39 -0.08 16 52 H 0.06 1.02 8.14 -51.93 -0.42 0.60 16 53 H 0.05 0.68 8.10 -51.93 -0.42 0.26 16 LS Contribution 403.69 15.07 6.08 6.08 Total: -1.00 -30.82 403.69 -10.95 -41.77 By element: Atomic # 1 Polarization: 10.48 SS G_CDS: -9.33 Total: 1.15 kcal Atomic # 6 Polarization: 0.64 SS G_CDS: -1.46 Total: -0.82 kcal Atomic # 7 Polarization: -47.49 SS G_CDS: -0.45 Total: -47.94 kcal Atomic # 8 Polarization: -15.40 SS G_CDS: -0.76 Total: -16.16 kcal Atomic # 14 Polarization: 20.94 SS G_CDS: -5.03 Total: 15.91 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -30.82 -10.95 -41.77 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. ZINC001733286447.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 7.828 kcal (2) G-P(sol) polarization free energy of solvation -30.819 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -22.992 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.948 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.768 kcal (6) G-S(sol) free energy of system = (1) + (5) -33.940 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.08 seconds