Wall clock time and date at job start Sat Apr 11 2020 06:11:15 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 1.53001 * 1 3 3 C 1.52999 * 109.47059 * 2 1 4 4 N 1.46899 * 109.46754 * 119.99450 * 2 1 3 5 5 C 1.46897 * 111.00394 * 306.04513 * 4 2 1 6 6 C 1.46895 * 110.99864 * 70.00748 * 4 2 1 7 7 C 1.50703 * 109.47313 * 169.99927 * 6 4 2 8 8 O 1.21286 * 119.99577 * 359.97438 * 7 6 4 9 9 N 1.34770 * 120.00386 * 179.97438 * 7 6 4 10 10 C 1.47427 * 125.64686 * 5.12527 * 9 7 6 11 11 C 1.54911 * 104.83099 * 155.83420 * 10 9 7 12 12 C 1.55398 * 101.67121 * 36.92293 * 11 10 9 13 13 C 1.47020 * 125.65124 * 185.07823 * 9 7 6 14 14 H 1.09000 * 109.88725 * 300.67014 * 13 9 7 15 15 C 1.52999 * 109.88100 * 61.68189 * 13 9 7 16 16 N 1.46901 * 109.47210 * 185.25970 * 15 13 9 17 17 C 1.46898 * 111.00128 * 175.08697 * 16 15 13 18 18 C 1.50706 * 109.47248 * 180.02562 * 17 16 15 19 19 O 1.21292 * 119.99751 * 359.97438 * 18 17 16 20 20 N 1.34774 * 119.99931 * 180.02562 * 18 17 16 21 21 C 1.37093 * 120.00002 * 179.97438 * 20 18 17 22 22 H 1.08007 * 120.00279 * 359.97438 * 21 20 18 23 23 C 1.38948 * 120.00475 * 179.97438 * 21 20 18 24 24 N 1.31417 * 119.99716 * 0.02562 * 23 21 20 25 25 Si 1.86795 * 120.00482 * 180.02562 * 23 21 20 26 26 H 1.48503 * 109.47191 * 59.99850 * 25 23 21 27 27 H 1.48502 * 109.47197 * 180.02562 * 25 23 21 28 28 H 1.48502 * 109.47089 * 300.00343 * 25 23 21 29 29 H 1.08996 * 109.47388 * 300.00476 * 1 2 3 30 30 H 1.08999 * 109.46851 * 60.00853 * 1 2 3 31 31 H 1.09001 * 109.46849 * 180.02562 * 1 2 3 32 32 H 1.08996 * 109.47388 * 239.99524 * 2 1 3 33 33 H 1.08997 * 109.47631 * 179.97438 * 3 2 1 34 34 H 1.09003 * 109.47061 * 299.99425 * 3 2 1 35 35 H 1.09003 * 109.47153 * 59.99277 * 3 2 1 36 36 H 1.08998 * 109.47513 * 183.95118 * 5 4 2 37 37 H 1.08998 * 109.47426 * 303.96256 * 5 4 2 38 38 H 1.09006 * 109.46456 * 63.95881 * 5 4 2 39 39 H 1.08999 * 109.47802 * 49.99892 * 6 4 2 40 40 H 1.09006 * 109.47240 * 289.99267 * 6 4 2 41 41 H 1.08998 * 110.36539 * 274.66844 * 10 9 7 42 42 H 1.09001 * 110.36544 * 36.99712 * 10 9 7 43 43 H 1.09002 * 111.00142 * 155.08601 * 11 10 9 44 44 H 1.09003 * 111.00305 * 278.89471 * 11 10 9 45 45 H 1.08997 * 110.85896 * 206.29854 * 12 11 10 46 46 H 1.09002 * 110.69268 * 82.94414 * 12 11 10 47 47 H 1.08998 * 109.47665 * 65.25883 * 15 13 9 48 48 H 1.09004 * 109.47047 * 305.25787 * 15 13 9 49 49 H 1.00901 * 111.00247 * 51.13185 * 16 15 13 50 50 H 1.09003 * 109.47193 * 299.99623 * 17 16 15 51 51 H 1.08999 * 109.47218 * 60.00075 * 17 16 15 52 52 H 0.97002 * 119.99999 * 359.97438 * 20 18 17 53 53 H 0.96995 * 119.99999 * 179.97438 * 24 23 21 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 1.4425 0.0000 4 7 2.0196 -0.6924 1.1995 5 6 1.4343 -0.1147 2.4167 6 6 1.7529 -2.1348 1.1204 7 6 2.4774 -2.8416 2.2370 8 8 3.1500 -2.2062 3.0212 9 7 2.3778 -4.1796 2.3642 10 6 1.6866 -5.0828 1.4262 11 6 2.3561 -6.4634 1.6390 12 6 2.6054 -6.4588 3.1729 13 6 2.9414 -4.9803 3.4609 14 1 4.0225 -4.8468 3.4999 15 6 2.3163 -4.5542 4.7908 16 7 2.9742 -5.2694 5.8925 17 6 2.4803 -4.8002 7.1940 18 6 3.1767 -5.5545 8.2972 19 8 4.0029 -6.4001 8.0259 20 7 2.8808 -5.2902 9.5852 21 6 3.5140 -5.9767 10.5888 22 1 4.2497 -6.7297 10.3474 23 6 3.2094 -5.7039 11.9168 24 7 2.3139 -4.7881 12.2107 25 14 4.0726 -6.6388 13.2843 26 1 5.5364 -6.4045 13.1966 27 1 3.5729 -6.1649 14.5999 28 1 3.7945 -8.0907 13.1434 29 1 -0.3634 0.5139 0.8899 30 1 -0.3633 0.5137 -0.8901 31 1 -0.3633 -1.0277 0.0005 32 1 1.8934 -0.5139 -0.8899 33 1 3.1300 1.4426 0.0005 34 1 1.6767 1.9563 -0.8901 35 1 1.6765 1.9564 0.8899 36 1 1.8663 -0.5985 3.2927 37 1 1.6464 0.9539 2.4501 38 1 0.3555 -0.2709 2.4104 39 1 2.1026 -2.5170 0.1614 40 1 0.6814 -2.3118 1.2133 41 1 0.6242 -5.1357 1.6639 42 1 1.8302 -4.7457 0.3996 43 1 1.6829 -7.2721 1.3544 44 1 3.2966 -6.5300 1.0920 45 1 3.4459 -7.1028 3.4314 46 1 1.7066 -6.7616 3.7101 47 1 1.2530 -4.7937 4.7858 48 1 2.4463 -3.4804 4.9258 49 1 3.9775 -5.1807 5.8332 50 1 2.6849 -3.7346 7.2976 51 1 1.4058 -4.9718 7.2582 52 1 2.2198 -4.6142 9.8021 53 1 2.1009 -4.5979 13.1377 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 ZINC001267969973.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 06:11:15 Heat of formation + Delta-G solvation = -56.525949 kcal Electronic energy + Delta-G solvation = -30160.808054 eV Core-core repulsion = 26067.687397 eV Total energy + Delta-G solvation = -4093.120657 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.72 seconds Orbital eigenvalues (eV) -40.56906 -38.87173 -38.16832 -37.26010 -35.21905 -33.78821 -32.44975 -31.73108 -31.20384 -30.27826 -28.37214 -27.50590 -26.77371 -25.46409 -24.70013 -23.35105 -22.45077 -21.14229 -20.02416 -19.43396 -18.89047 -17.84304 -17.49093 -16.80817 -16.18125 -16.00381 -15.77293 -15.30516 -15.14875 -14.72808 -14.60482 -14.37907 -14.01513 -13.86918 -13.80193 -13.51505 -13.47940 -13.33421 -13.23610 -13.02860 -12.46088 -12.43868 -12.22043 -12.13523 -11.89437 -11.78221 -11.62526 -11.57885 -11.47794 -11.45868 -11.41742 -11.10590 -11.02584 -10.85884 -10.81382 -10.41377 -10.17706 -9.86503 -9.46092 -8.84391 -8.58416 -8.39002 -8.00145 -7.91454 -6.37671 -3.78449 2.47693 2.61408 3.23069 3.28244 3.32919 3.60308 3.95914 4.13499 4.20093 4.30748 4.44868 4.50300 4.61416 4.66243 4.71313 4.81817 4.85676 4.93157 4.95541 5.13162 5.13812 5.20146 5.24036 5.24752 5.29149 5.29277 5.35020 5.41138 5.50094 5.53715 5.56446 5.63273 5.72573 5.80590 5.84134 5.85736 5.88553 5.96110 6.01646 6.04745 6.18148 6.24693 6.33246 6.62816 6.75421 7.22791 7.36472 7.58719 7.70000 8.06862 8.10226 8.65650 9.21699 9.58725 10.10364 10.80115 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.015208 B = 0.002029 C = 0.001842 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1840.643495 B =13795.709560 C =15195.339309 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.189 4.189 2 C 0.075 3.925 3 C -0.143 4.143 4 N -0.518 5.518 5 C 0.013 3.987 6 C 0.041 3.959 7 C 0.528 3.472 8 O -0.515 6.515 9 N -0.618 5.618 10 C 0.099 3.901 11 C -0.137 4.137 12 C -0.114 4.114 13 C 0.141 3.859 14 H 0.076 0.924 15 C 0.051 3.949 16 N -0.663 5.663 17 C 0.052 3.948 18 C 0.443 3.557 19 O -0.583 6.583 20 N -0.564 5.564 21 C -0.299 4.299 22 H 0.102 0.898 23 C 0.021 3.979 24 N -0.903 5.903 25 Si 0.931 3.069 26 H -0.274 1.274 27 H -0.285 1.285 28 H -0.274 1.274 29 H 0.062 0.938 30 H 0.062 0.938 31 H 0.054 0.946 32 H 0.081 0.919 33 H 0.064 0.936 34 H 0.059 0.941 35 H 0.057 0.943 36 H 0.088 0.912 37 H 0.070 0.930 38 H 0.024 0.976 39 H 0.100 0.900 40 H 0.063 0.937 41 H 0.069 0.931 42 H 0.074 0.926 43 H 0.084 0.916 44 H 0.075 0.925 45 H 0.087 0.913 46 H 0.083 0.917 47 H 0.069 0.931 48 H 0.039 0.961 49 H 0.349 0.651 50 H 0.044 0.956 51 H 0.084 0.916 52 H 0.392 0.608 53 H 0.272 0.728 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.201 7.080 -28.439 30.178 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 -0.248 4.248 2 C -0.033 4.033 3 C -0.201 4.201 4 N -0.242 5.242 5 C -0.135 4.135 6 C -0.090 4.090 7 C 0.315 3.685 8 O -0.389 6.389 9 N -0.354 5.354 10 C -0.024 4.024 11 C -0.175 4.175 12 C -0.152 4.152 13 C 0.037 3.963 14 H 0.094 0.906 15 C -0.080 4.080 16 N -0.296 5.296 17 C -0.080 4.080 18 C 0.228 3.772 19 O -0.467 6.467 20 N -0.201 5.201 21 C -0.428 4.428 22 H 0.120 0.880 23 C -0.180 4.180 24 N -0.544 5.544 25 Si 0.759 3.241 26 H -0.199 1.199 27 H -0.210 1.210 28 H -0.199 1.199 29 H 0.081 0.919 30 H 0.081 0.919 31 H 0.073 0.927 32 H 0.100 0.900 33 H 0.083 0.917 34 H 0.078 0.922 35 H 0.076 0.924 36 H 0.106 0.894 37 H 0.089 0.911 38 H 0.043 0.957 39 H 0.118 0.882 40 H 0.081 0.919 41 H 0.087 0.913 42 H 0.092 0.908 43 H 0.102 0.898 44 H 0.093 0.907 45 H 0.106 0.894 46 H 0.102 0.898 47 H 0.087 0.913 48 H 0.058 0.942 49 H 0.168 0.832 50 H 0.062 0.938 51 H 0.102 0.898 52 H 0.225 0.775 53 H 0.081 0.919 Dipole moment (debyes) X Y Z Total from point charges -6.251 6.570 -28.001 29.433 hybrid contribution -0.678 0.747 0.872 1.333 sum -6.929 7.317 -27.129 28.940 Atomic orbital electron populations 1.22513 0.97524 1.01973 1.02761 1.21767 0.92691 0.95941 0.92903 1.21830 1.02117 0.94450 1.01683 1.61899 1.58887 1.00642 1.02735 1.22635 0.96553 1.00936 0.93363 1.21953 0.98802 0.89863 0.98418 1.20183 0.81610 0.80363 0.86301 1.90708 1.39528 1.64482 1.44211 1.48591 1.55768 1.05692 1.25372 1.22342 0.96688 0.90148 0.93201 1.22871 1.01291 0.95933 0.97361 1.22644 1.03797 0.94295 0.94443 1.21519 0.98159 0.90608 0.85979 0.90589 1.22265 0.98859 0.96703 0.90144 1.60085 1.11280 1.57913 1.00295 1.21652 1.00244 0.96877 0.89271 1.19796 0.86785 0.87062 0.83560 1.90513 1.36974 1.36248 1.82998 1.41853 1.37959 1.36141 1.04136 1.19655 1.20309 1.18129 0.84752 0.87971 1.25269 0.97068 0.97177 0.98520 1.69610 1.32522 1.32185 1.20080 0.85909 0.79411 0.79551 0.79276 1.19920 1.21011 1.19910 0.91933 0.91888 0.92740 0.90044 0.91665 0.92234 0.92401 0.89391 0.91104 0.95707 0.88219 0.91879 0.91303 0.90812 0.89773 0.90667 0.89406 0.89841 0.91282 0.94248 0.83178 0.93847 0.89754 0.77462 0.91857 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.19 -1.10 8.44 37.16 0.31 -0.79 16 2 C 0.08 0.52 2.92 -67.71 -0.20 0.32 16 3 C -0.14 -0.95 9.12 37.16 0.34 -0.61 16 4 N -0.52 -4.91 4.45 -236.33 -1.05 -5.96 16 5 C 0.01 0.13 8.33 60.06 0.50 0.63 16 6 C 0.04 0.34 4.11 -4.98 -0.02 0.32 16 7 C 0.53 6.22 7.29 -10.99 -0.08 6.14 16 8 O -0.51 -8.19 13.49 5.55 0.07 -8.12 16 9 N -0.62 -6.34 3.06 -163.01 -0.50 -6.84 16 10 C 0.10 0.66 6.65 -2.53 -0.02 0.65 16 11 C -0.14 -0.92 7.09 -24.45 -0.17 -1.09 16 12 C -0.11 -1.12 6.31 -24.76 -0.16 -1.27 16 13 C 0.14 1.67 2.97 -66.95 -0.20 1.47 16 14 H 0.08 1.02 8.11 -51.93 -0.42 0.60 16 15 C 0.05 0.71 5.11 -3.82 -0.02 0.70 16 16 N -0.66 -11.31 5.96 -115.05 -0.69 -11.99 16 17 C 0.05 0.99 6.16 -4.97 -0.03 0.96 16 18 C 0.44 10.82 7.82 -10.98 -0.09 10.74 16 19 O -0.58 -16.19 15.78 5.55 0.09 -16.10 16 20 N -0.56 -14.76 5.29 -10.96 -0.06 -14.82 16 21 C -0.30 -8.53 9.68 -14.94 -0.14 -8.67 16 22 H 0.10 3.04 7.16 -52.48 -0.38 2.66 16 23 C 0.02 0.58 5.50 -17.47 -0.10 0.48 16 24 N -0.90 -25.07 13.05 55.50 0.72 -24.35 16 25 Si 0.93 21.46 29.55 -169.99 -5.02 16.43 16 26 H -0.27 -6.26 7.11 56.52 0.40 -5.86 16 27 H -0.28 -6.39 7.11 56.52 0.40 -5.99 16 28 H -0.27 -6.25 7.11 56.52 0.40 -5.85 16 29 H 0.06 0.41 6.42 -51.93 -0.33 0.07 16 30 H 0.06 0.31 8.14 -51.93 -0.42 -0.12 16 31 H 0.05 0.30 6.91 -51.93 -0.36 -0.05 16 32 H 0.08 0.50 7.93 -51.93 -0.41 0.09 16 33 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 34 H 0.06 0.31 8.14 -51.93 -0.42 -0.12 16 35 H 0.06 0.40 6.47 -51.93 -0.34 0.06 16 36 H 0.09 1.13 5.88 -51.93 -0.31 0.82 16 37 H 0.07 0.65 6.30 -51.93 -0.33 0.33 16 38 H 0.02 0.22 6.46 -51.93 -0.34 -0.12 16 39 H 0.10 0.65 7.55 -51.93 -0.39 0.26 16 40 H 0.06 0.45 7.06 -51.93 -0.37 0.09 16 41 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 42 H 0.07 0.35 7.51 -51.93 -0.39 -0.04 16 43 H 0.08 0.44 8.14 -51.93 -0.42 0.01 16 44 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 45 H 0.09 0.91 8.14 -51.93 -0.42 0.49 16 46 H 0.08 0.87 7.77 -51.93 -0.40 0.47 16 47 H 0.07 0.93 8.02 -51.93 -0.42 0.52 16 48 H 0.04 0.63 6.87 -51.93 -0.36 0.27 16 49 H 0.35 6.28 8.34 -39.29 -0.33 5.95 16 50 H 0.04 0.78 8.14 -51.93 -0.42 0.36 16 51 H 0.08 1.47 8.14 -51.93 -0.42 1.04 16 52 H 0.39 9.84 7.90 -40.82 -0.32 9.52 16 53 H 0.27 7.15 8.31 -40.82 -0.34 6.81 16 LS Contribution 413.72 15.07 6.23 6.23 Total: -1.00 -33.74 413.72 -9.38 -43.13 By element: Atomic # 1 Polarization: 21.52 SS G_CDS: -9.12 Total: 12.40 kcal Atomic # 6 Polarization: 10.05 SS G_CDS: -0.07 Total: 9.98 kcal Atomic # 7 Polarization: -62.39 SS G_CDS: -1.57 Total: -63.96 kcal Atomic # 8 Polarization: -24.38 SS G_CDS: 0.16 Total: -24.21 kcal Atomic # 14 Polarization: 21.46 SS G_CDS: -5.02 Total: 16.43 kcal Total LS contribution 6.23 Total: 6.23 kcal Total: -33.74 -9.38 -43.13 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. ZINC001267969973.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 -13.397 kcal (2) G-P(sol) polarization free energy of solvation -33.744 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -47.141 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.385 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.129 kcal (6) G-S(sol) free energy of system = (1) + (5) -56.526 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.73 seconds