Wall clock time and date at job start Tue Mar 31 2020 12:16:59 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 O 1.42901 * 1 3 3 C 1.35891 * 117.00282 * 2 1 4 4 C 1.38762 * 120.05782 * 0.25545 * 3 2 1 5 5 C 1.38123 * 119.94575 * 180.32108 * 4 3 2 6 6 C 1.38286 * 120.05651 * 359.67799 * 5 4 3 7 7 C 1.38250 * 120.10910 * 0.02562 * 6 5 4 8 8 C 1.38163 * 120.05962 * 0.02562 * 7 6 5 9 9 C 1.50699 * 120.03037 * 179.97438 * 8 7 6 10 10 C 1.52993 * 109.47101 * 264.99866 * 9 8 7 11 11 C 1.52996 * 109.47153 * 179.97438 * 10 9 8 12 12 N 1.46903 * 109.47277 * 182.53647 * 11 10 9 13 13 C 1.46902 * 111.00042 * 168.58625 * 12 11 10 14 14 C 1.50698 * 109.47260 * 195.79550 * 13 12 11 15 15 H 1.08008 * 120.00031 * 359.97438 * 14 13 12 16 16 C 1.37878 * 120.00319 * 180.02562 * 14 13 12 17 17 N 1.31513 * 119.99607 * 359.97438 * 16 14 13 18 18 Si 1.86797 * 119.99981 * 179.97438 * 16 14 13 19 19 H 1.48498 * 109.47076 * 90.00425 * 18 16 14 20 20 H 1.48498 * 109.46947 * 209.99749 * 18 16 14 21 21 H 1.48499 * 109.47260 * 329.99916 * 18 16 14 22 22 C 1.46899 * 110.99969 * 292.54044 * 12 11 10 23 23 C 1.52999 * 109.47232 * 318.72007 * 22 12 11 24 24 C 1.53001 * 109.47135 * 77.45129 * 23 22 12 25 25 C 1.52996 * 109.47215 * 197.45397 * 23 22 12 26 26 C 1.52998 * 109.47018 * 317.45394 * 23 22 12 27 27 H 1.09002 * 109.47055 * 299.99731 * 1 2 3 28 28 H 1.08992 * 109.47067 * 59.99869 * 1 2 3 29 29 H 1.09005 * 109.47338 * 180.02562 * 1 2 3 30 30 H 1.08000 * 120.02454 * 0.02562 * 4 3 2 31 31 H 1.07999 * 119.97102 * 179.69930 * 5 4 3 32 32 H 1.07998 * 119.94459 * 180.02562 * 6 5 4 33 33 H 1.07999 * 119.96628 * 180.02562 * 7 6 5 34 34 H 1.08999 * 109.46618 * 25.00398 * 9 8 7 35 35 H 1.08996 * 109.46855 * 144.99840 * 9 8 7 36 36 H 1.09001 * 109.47540 * 300.00261 * 10 9 8 37 37 H 1.09009 * 109.47146 * 59.99959 * 10 9 8 38 38 H 1.08998 * 109.47220 * 302.53505 * 11 10 9 39 39 H 1.08997 * 109.47436 * 62.54032 * 11 10 9 40 40 H 1.09003 * 109.47223 * 315.79612 * 13 12 11 41 41 H 1.08999 * 109.47090 * 75.79433 * 13 12 11 42 42 H 0.97005 * 119.99627 * 179.97438 * 17 16 14 43 43 H 1.08998 * 109.47033 * 78.72271 * 22 12 11 44 44 H 1.09002 * 109.46809 * 198.71950 * 22 12 11 45 45 H 1.09005 * 109.47168 * 52.26943 * 24 23 22 46 46 H 1.08998 * 109.46945 * 172.26295 * 24 23 22 47 47 H 1.08996 * 109.47202 * 292.26905 * 24 23 22 48 48 H 1.09004 * 109.47421 * 60.00103 * 25 23 22 49 49 H 1.09004 * 109.47540 * 179.97438 * 25 23 22 50 50 H 1.09005 * 109.47075 * 299.99833 * 25 23 22 51 51 H 1.08998 * 109.47172 * 66.00509 * 26 23 22 52 52 H 1.08999 * 109.47071 * 186.00138 * 26 23 22 53 53 H 1.08994 * 109.47248 * 306.00160 * 26 23 22 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 8 1.4290 0.0000 0.0000 3 6 2.0460 1.2108 0.0000 4 6 1.2915 2.3753 0.0054 5 6 1.9210 3.6047 -0.0014 6 6 3.3020 3.6757 -0.0067 7 6 4.0560 2.5170 -0.0058 8 6 3.4312 1.2847 -0.0002 9 6 4.2537 0.0220 0.0001 10 6 4.4214 -0.4778 -1.4361 11 6 5.2570 -1.7594 -1.4358 12 7 5.4693 -2.2059 -2.8192 13 6 6.4825 -3.2678 -2.8800 14 6 6.9554 -3.4302 -4.3017 15 1 6.5440 -2.8071 -5.0821 16 6 7.9124 -4.3748 -4.6063 17 7 8.4129 -5.1338 -3.6561 18 14 8.4979 -4.5764 -6.3687 19 1 9.6595 -3.6832 -6.6096 20 1 8.9023 -5.9868 -6.5976 21 1 7.3975 -4.2195 -7.2998 22 6 4.2078 -2.6464 -3.4296 23 6 3.4038 -3.4566 -2.4108 24 6 2.7362 -2.5056 -1.4154 25 6 2.3307 -4.2693 -3.1380 26 6 4.3405 -4.4052 -1.6601 27 1 -0.3633 0.5138 0.8900 28 1 -0.3633 0.5138 -0.8899 29 1 -0.3634 -1.0277 0.0005 30 1 0.2129 2.3204 0.0099 31 1 1.3341 4.5114 -0.0021 32 1 3.7923 4.6380 -0.0115 33 1 5.1344 2.5751 -0.0096 34 1 5.2340 0.2272 0.4303 35 1 3.7489 -0.7403 0.5935 36 1 3.4411 -0.6829 -1.8663 37 1 4.9263 0.2846 -2.0295 38 1 6.2206 -1.5648 -0.9650 39 1 4.7313 -2.5359 -0.8801 40 1 7.3270 -3.0012 -2.2445 41 1 6.0479 -4.2051 -2.5324 42 1 9.0860 -5.7987 -3.8706 43 1 3.6300 -1.7753 -3.7384 44 1 4.4224 -3.2671 -4.2995 45 1 2.1773 -1.7440 -1.9593 46 1 2.0559 -3.0680 -0.7759 47 1 3.4996 -2.0272 -0.8019 48 1 2.8063 -4.9469 -3.8471 49 1 1.7581 -4.8469 -2.4122 50 1 1.6633 -3.5935 -3.6728 51 1 5.0387 -3.8246 -1.0572 52 1 3.7547 -5.0563 -1.0113 53 1 4.8955 -5.0104 -2.3768 RHF calculation, no. of doubly occupied orbitals= 62 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 ZINC000505602138.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 12:16:59 Heat of formation + Delta-G solvation = 40.329193 kcal Electronic energy + Delta-G solvation = -28732.319568 eV Core-core repulsion = 25185.670269 eV Total energy + Delta-G solvation = -3546.649299 eV No. of doubly occupied orbitals = 62 Molecular weight (most abundant/longest-lived isotopes) = 319.225 amu Computer time = 0.80 seconds Orbital eigenvalues (eV) -40.46368 -39.63979 -37.48568 -34.58593 -33.72017 -32.18652 -30.65901 -30.12714 -27.62476 -27.53231 -26.92442 -26.35125 -25.70090 -23.88260 -22.19437 -21.89819 -20.72107 -19.99728 -18.37451 -18.02422 -16.39665 -16.30818 -15.82232 -15.73718 -15.61028 -14.83462 -14.55911 -14.36599 -14.01911 -13.93635 -13.66587 -13.42769 -13.20717 -12.86284 -12.59931 -12.35965 -12.13316 -11.97571 -11.77380 -11.61302 -11.52187 -11.26453 -11.21616 -11.00274 -10.96609 -10.86919 -10.84096 -10.65668 -10.55186 -10.37008 -10.12979 -10.03834 -9.70198 -9.54478 -9.35253 -9.05683 -8.86708 -8.30392 -8.16417 -6.78666 -5.92637 -3.91731 1.25303 1.37737 3.20520 3.36893 3.42840 3.46732 3.68718 4.50078 4.64709 4.72058 4.90197 4.95604 4.98586 5.11150 5.23575 5.26884 5.33805 5.34564 5.40924 5.42433 5.48446 5.50465 5.56537 5.73321 5.84360 5.92725 6.03633 6.04482 6.07994 6.12493 6.14791 6.26190 6.27229 6.30981 6.35122 6.37890 6.42139 6.49006 6.53851 6.54753 6.70839 6.72028 6.75963 6.86449 6.96324 7.01834 7.05293 7.32996 7.43906 7.61905 7.94115 8.27364 8.40895 8.73150 9.15995 9.70721 11.17252 Molecular weight = 319.23amu Principal moments of inertia in cm(-1) A = 0.017112 B = 0.003344 C = 0.003007 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1635.841358 B = 8371.984769 C = 9308.241664 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.028 3.972 2 O -0.304 6.304 3 C 0.129 3.871 4 C -0.210 4.210 5 C -0.092 4.092 6 C -0.157 4.157 7 C -0.081 4.081 8 C -0.101 4.101 9 C -0.074 4.074 10 C -0.124 4.124 11 C 0.019 3.981 12 N -0.530 5.530 13 C 0.161 3.839 14 C -0.498 4.498 15 H 0.059 0.941 16 C 0.053 3.947 17 N -0.901 5.901 18 Si 0.893 3.107 19 H -0.282 1.282 20 H -0.289 1.289 21 H -0.275 1.275 22 C 0.073 3.927 23 C -0.100 4.100 24 C -0.170 4.170 25 C -0.134 4.134 26 C -0.162 4.162 27 H 0.051 0.949 28 H 0.053 0.947 29 H 0.098 0.902 30 H 0.124 0.876 31 H 0.120 0.880 32 H 0.120 0.880 33 H 0.129 0.871 34 H 0.068 0.932 35 H 0.073 0.927 36 H 0.082 0.918 37 H 0.061 0.939 38 H 0.057 0.943 39 H 0.071 0.929 40 H 0.021 0.979 41 H 0.032 0.968 42 H 0.259 0.741 43 H 0.051 0.949 44 H 0.077 0.923 45 H 0.051 0.949 46 H 0.034 0.966 47 H 0.102 0.898 48 H 0.054 0.946 49 H 0.044 0.956 50 H 0.047 0.953 51 H 0.074 0.926 52 H 0.035 0.965 53 H 0.080 0.920 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.444 12.420 9.879 22.853 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 -0.068 4.068 2 O -0.217 6.217 3 C 0.083 3.917 4 C -0.229 4.229 5 C -0.110 4.110 6 C -0.175 4.175 7 C -0.099 4.099 8 C -0.101 4.101 9 C -0.112 4.112 10 C -0.161 4.161 11 C -0.109 4.109 12 N -0.253 5.253 13 C 0.036 3.964 14 C -0.537 4.537 15 H 0.077 0.923 16 C -0.147 4.147 17 N -0.542 5.542 18 Si 0.721 3.279 19 H -0.208 1.208 20 H -0.215 1.215 21 H -0.200 1.200 22 C -0.055 4.055 23 C -0.102 4.102 24 C -0.226 4.226 25 C -0.192 4.192 26 C -0.218 4.218 27 H 0.070 0.930 28 H 0.072 0.928 29 H 0.117 0.883 30 H 0.142 0.858 31 H 0.138 0.862 32 H 0.139 0.861 33 H 0.147 0.853 34 H 0.087 0.913 35 H 0.092 0.908 36 H 0.101 0.899 37 H 0.079 0.921 38 H 0.075 0.925 39 H 0.088 0.912 40 H 0.039 0.961 41 H 0.049 0.951 42 H 0.068 0.932 43 H 0.069 0.931 44 H 0.096 0.904 45 H 0.070 0.930 46 H 0.053 0.947 47 H 0.120 0.880 48 H 0.073 0.927 49 H 0.063 0.937 50 H 0.066 0.934 51 H 0.092 0.908 52 H 0.054 0.946 53 H 0.098 0.902 Dipole moment (debyes) X Y Z Total from point charges -16.034 12.474 9.619 22.477 hybrid contribution -0.203 -0.593 -0.577 0.852 sum -16.237 11.881 9.042 22.058 Atomic orbital electron populations 1.23027 0.78958 1.03856 1.00941 1.86156 1.20721 1.26411 1.88388 1.18882 0.91861 0.84270 0.96660 1.21193 0.99779 0.92514 1.09402 1.20864 0.94701 0.96791 0.98624 1.21027 0.93900 0.98357 1.04245 1.20962 1.00063 0.91068 0.97788 1.19359 0.90533 0.96224 1.04031 1.20512 0.98434 0.93591 0.98679 1.22020 1.01906 0.97668 0.94544 1.23045 0.99085 0.96231 0.92527 1.62249 1.07822 1.40212 1.14984 1.20437 0.89270 0.89154 0.97519 1.21220 1.21162 1.17465 0.93863 0.92251 1.24948 0.96665 0.96036 0.97063 1.69955 1.29458 1.22757 1.31983 0.86580 0.79055 0.76975 0.85272 1.20819 1.21490 1.19981 1.22144 0.89918 0.96724 0.96756 1.21208 0.95927 0.96121 0.96919 1.23125 1.01365 0.98715 0.99348 1.21801 0.98115 0.99409 0.99827 1.22691 0.99154 0.99390 1.00570 0.93030 0.92847 0.88323 0.85824 0.86247 0.86149 0.85340 0.91289 0.90817 0.89929 0.92067 0.92457 0.91160 0.96116 0.95095 0.93163 0.93082 0.90429 0.92990 0.94675 0.88012 0.92692 0.93689 0.93400 0.90764 0.94563 0.90182 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 0.03 0.22 9.81 101.05 0.99 1.21 16 2 O -0.30 -3.50 9.34 -19.40 -0.18 -3.69 16 3 C 0.13 1.55 6.66 -39.21 -0.26 1.29 16 4 C -0.21 -2.17 9.04 -39.43 -0.36 -2.53 16 5 C -0.09 -0.89 10.04 -39.61 -0.40 -1.29 16 6 C -0.16 -1.59 10.04 -39.56 -0.40 -1.99 16 7 C -0.08 -0.92 9.68 -39.60 -0.38 -1.30 16 8 C -0.10 -1.26 5.15 -104.47 -0.54 -1.80 16 9 C -0.07 -0.97 4.87 -27.89 -0.14 -1.11 16 10 C -0.12 -1.89 4.13 -26.74 -0.11 -2.00 16 11 C 0.02 0.33 3.80 -3.82 -0.01 0.32 16 12 N -0.53 -11.31 4.65 -236.07 -1.10 -12.41 16 13 C 0.16 4.10 4.09 -4.98 -0.02 4.08 16 14 C -0.50 -14.03 8.32 -34.44 -0.29 -14.32 16 15 H 0.06 1.69 7.73 -52.48 -0.41 1.28 16 16 C 0.05 1.52 5.46 -17.82 -0.10 1.42 16 17 N -0.90 -26.74 13.29 55.43 0.74 -26.01 16 18 Si 0.89 21.96 29.54 -169.99 -5.02 16.94 16 19 H -0.28 -6.91 7.11 56.52 0.40 -6.50 16 20 H -0.29 -7.04 7.11 56.52 0.40 -6.64 16 21 H -0.27 -6.65 7.11 56.52 0.40 -6.25 16 22 C 0.07 1.42 4.60 -3.83 -0.02 1.41 16 23 C -0.10 -1.67 0.77 -154.51 -0.12 -1.78 16 24 C -0.17 -2.48 6.26 37.16 0.23 -2.24 16 25 C -0.13 -2.01 8.39 37.16 0.31 -1.70 16 26 C -0.16 -2.95 6.54 37.16 0.24 -2.71 16 27 H 0.05 0.34 7.65 -51.93 -0.40 -0.06 16 28 H 0.05 0.38 7.67 -51.93 -0.40 -0.02 16 29 H 0.10 0.65 8.14 -51.93 -0.42 0.23 16 30 H 0.12 1.01 6.30 -52.49 -0.33 0.68 16 31 H 0.12 0.87 8.06 -52.49 -0.42 0.45 16 32 H 0.12 0.96 8.06 -52.49 -0.42 0.54 16 33 H 0.13 1.29 8.06 -52.49 -0.42 0.87 16 34 H 0.07 0.85 8.05 -51.93 -0.42 0.43 16 35 H 0.07 0.97 6.74 -51.93 -0.35 0.62 16 36 H 0.08 1.29 3.98 -51.93 -0.21 1.08 16 37 H 0.06 1.01 8.14 -51.92 -0.42 0.59 16 38 H 0.06 1.07 7.83 -51.93 -0.41 0.66 16 39 H 0.07 1.22 2.29 -51.93 -0.12 1.10 16 40 H 0.02 0.58 7.79 -51.93 -0.40 0.17 16 41 H 0.03 0.81 3.50 -51.93 -0.18 0.63 16 42 H 0.26 7.32 8.31 -40.82 -0.34 6.98 16 43 H 0.05 0.94 7.33 -51.93 -0.38 0.56 16 44 H 0.08 1.69 6.91 -51.93 -0.36 1.33 16 45 H 0.05 0.75 6.76 -51.93 -0.35 0.40 16 46 H 0.03 0.48 8.13 -51.93 -0.42 0.06 16 47 H 0.10 1.51 1.62 -51.93 -0.08 1.42 16 48 H 0.05 0.87 8.14 -51.93 -0.42 0.45 16 49 H 0.04 0.62 8.14 -51.93 -0.42 0.19 16 50 H 0.05 0.66 8.14 -51.93 -0.42 0.24 16 51 H 0.07 1.41 4.02 -51.93 -0.21 1.20 16 52 H 0.04 0.59 8.14 -51.93 -0.42 0.16 16 53 H 0.08 1.71 6.16 -51.93 -0.32 1.39 16 LS Contribution 387.56 15.07 5.84 5.84 Total: -1.00 -30.38 387.56 -9.76 -40.14 By element: Atomic # 1 Polarization: 12.93 SS G_CDS: -8.68 Total: 4.24 kcal Atomic # 6 Polarization: -23.70 SS G_CDS: -1.36 Total: -25.06 kcal Atomic # 7 Polarization: -38.06 SS G_CDS: -0.36 Total: -38.42 kcal Atomic # 8 Polarization: -3.50 SS G_CDS: -0.18 Total: -3.69 kcal Atomic # 14 Polarization: 21.96 SS G_CDS: -5.02 Total: 16.94 kcal Total LS contribution 5.84 Total: 5.84 kcal Total: -30.38 -9.76 -40.14 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. ZINC000505602138.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 80.466 kcal (2) G-P(sol) polarization free energy of solvation -30.375 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 50.090 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.761 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.136 kcal (6) G-S(sol) free energy of system = (1) + (5) 40.329 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.80 seconds