Wall clock time and date at job start Sat Apr 11 2020 06:10:15 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 1.52994 * 1 3 3 O 1.42908 * 109.47469 * 2 1 4 4 C 1.42897 * 114.00448 * 180.02562 * 3 2 1 5 5 C 1.53772 * 113.61458 * 210.00290 * 4 3 2 6 6 C 1.53777 * 87.08266 * 219.93421 * 5 4 3 7 7 C 1.52996 * 113.61831 * 139.97739 * 6 5 4 8 8 C 1.50702 * 109.47159 * 176.52888 * 7 6 5 9 9 O 1.21283 * 120.00262 * 0.02562 * 8 7 6 10 10 N 1.34777 * 119.99928 * 179.72352 * 8 7 6 11 11 C 1.46931 * 120.63086 * 0.02562 * 10 8 7 12 12 C 1.53622 * 108.54424 * 126.36867 * 11 10 8 13 13 C 1.53036 * 109.24613 * 54.85288 * 12 11 10 14 14 C 1.53046 * 109.53689 * 298.51382 * 13 12 11 15 15 C 1.53002 * 109.49381 * 181.31341 * 14 13 12 16 16 O 1.42901 * 109.47171 * 65.16412 * 15 14 13 17 17 N 1.46498 * 109.52425 * 301.39399 * 14 13 12 18 18 C 1.36943 * 120.00028 * 299.85848 * 17 14 13 19 19 H 1.07992 * 119.99670 * 359.97438 * 18 17 14 20 20 C 1.38812 * 119.99852 * 179.97438 * 18 17 14 21 21 N 1.31620 * 120.00021 * 179.97438 * 20 18 17 22 22 Si 1.86805 * 120.00145 * 359.97438 * 20 18 17 23 23 H 1.48500 * 109.47217 * 89.99799 * 22 20 18 24 24 H 1.48491 * 109.47134 * 210.00105 * 22 20 18 25 25 H 1.48499 * 109.46946 * 330.00046 * 22 20 18 26 26 C 1.46925 * 120.62933 * 180.27723 * 10 8 7 27 27 C 1.53784 * 87.17242 * 25.38735 * 6 5 4 28 28 H 1.08994 * 109.46985 * 60.00078 * 1 2 3 29 29 H 1.09007 * 109.47093 * 179.97438 * 1 2 3 30 30 H 1.09005 * 109.46888 * 299.99823 * 1 2 3 31 31 H 1.09001 * 109.47345 * 240.00036 * 2 1 3 32 32 H 1.09000 * 109.47834 * 120.00090 * 2 1 3 33 33 H 1.09006 * 112.84758 * 341.19877 * 4 3 2 34 34 H 1.09000 * 113.61789 * 105.38528 * 5 4 3 35 35 H 1.09000 * 113.69011 * 334.48838 * 5 4 3 36 36 H 1.08998 * 113.61744 * 270.80049 * 6 5 4 37 37 H 1.09004 * 109.47066 * 56.53091 * 7 6 5 38 38 H 1.08994 * 109.47405 * 296.52921 * 7 6 5 39 39 H 1.09000 * 109.58052 * 246.19939 * 11 10 8 40 40 H 1.08995 * 109.58699 * 6.62138 * 11 10 8 41 41 H 1.09003 * 109.63253 * 294.86246 * 12 11 10 42 42 H 1.08996 * 109.45752 * 174.74562 * 12 11 10 43 43 H 1.08995 * 109.46232 * 178.49380 * 13 12 11 44 44 H 1.08996 * 109.44694 * 58.52287 * 13 12 11 45 45 H 1.09005 * 109.47048 * 185.16158 * 15 14 13 46 46 H 1.08995 * 109.47369 * 305.16391 * 15 14 13 47 47 H 0.96703 * 114.00047 * 179.97438 * 16 15 14 48 48 H 0.97001 * 119.99923 * 119.85192 * 17 14 13 49 49 H 0.96990 * 120.00127 * 179.97438 * 21 20 18 50 50 H 1.08994 * 109.58707 * 353.37218 * 26 10 8 51 51 H 1.09003 * 109.58629 * 113.80427 * 26 10 8 52 52 H 1.09000 * 113.61287 * 89.16363 * 27 6 5 53 53 H 1.09000 * 113.61378 * 220.06196 * 27 6 5 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 8 2.0064 1.3473 0.0000 4 6 3.4309 1.4602 -0.0006 5 6 3.9489 2.7251 0.7039 6 6 4.9910 2.8302 -0.4220 7 6 5.2337 4.2630 -0.9007 8 6 6.3263 4.2675 -1.9386 9 8 6.8583 3.2272 -2.2637 10 7 6.7082 5.4269 -2.5100 11 6 6.0690 6.6945 -2.1309 12 6 7.1642 7.6899 -1.7191 13 6 8.1843 7.8152 -2.8531 14 6 8.8397 6.4553 -3.1045 15 6 9.8827 6.5888 -4.2159 16 8 10.9427 7.4396 -3.7748 17 7 9.4903 5.9909 -1.8767 18 6 10.4885 6.7354 -1.3070 19 1 10.7963 7.6647 -1.7630 20 6 11.1045 6.2956 -0.1434 21 7 12.0642 7.0109 0.4040 22 14 10.5713 4.6885 0.6457 23 1 11.3795 3.5728 0.0914 24 1 10.7764 4.7663 2.1144 25 1 9.1342 4.4489 0.3586 26 6 7.7677 5.4466 -3.5276 27 6 4.0059 2.0446 -1.3036 28 1 -0.3633 0.5138 -0.8900 29 1 -0.3634 -1.0277 -0.0005 30 1 -0.3633 0.5138 0.8901 31 1 1.8933 -0.5138 -0.8900 32 1 1.8934 -0.5138 0.8899 33 1 3.9281 0.5456 0.3228 34 1 4.3836 2.5317 1.6846 35 1 3.2319 3.5460 0.7132 36 1 5.9153 2.2915 -0.2132 37 1 5.5329 4.8828 -0.0555 38 1 4.3171 4.6606 -1.3364 39 1 5.5117 7.0907 -2.9797 40 1 5.3923 6.5263 -1.2932 41 1 7.6636 7.3331 -0.8184 42 1 6.7151 8.6638 -1.5244 43 1 8.9486 8.5409 -2.5754 44 1 7.6797 8.1483 -3.7600 45 1 10.2837 5.6046 -4.4581 46 1 9.4162 7.0192 -5.1021 47 1 11.6417 7.5693 -4.4304 48 1 9.2139 5.1561 -1.4673 49 1 12.4944 6.7038 1.2172 50 1 8.2122 4.4550 -3.6116 51 1 7.3463 5.7431 -4.4882 52 1 3.3036 2.6784 -1.8451 53 1 4.4866 1.3028 -1.9413 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 ZINC001327580430.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 06:10:15 Heat of formation + Delta-G solvation = -91.937256 kcal Electronic energy + Delta-G solvation = -31632.189119 eV Core-core repulsion = 27505.240162 eV Total energy + Delta-G solvation = -4126.948957 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.75 seconds Orbital eigenvalues (eV) -40.38955 -39.44314 -37.93188 -36.56626 -35.72066 -33.90635 -32.09302 -31.57784 -31.33424 -30.05585 -29.04375 -25.83506 -25.47079 -25.23025 -23.37478 -23.12896 -22.61147 -21.80014 -19.73298 -19.16854 -18.32329 -17.75675 -17.07959 -16.88320 -16.37661 -15.89222 -15.69441 -15.53895 -15.22208 -14.81654 -14.33955 -14.07537 -14.06177 -13.63556 -13.46148 -13.37871 -13.03888 -12.91055 -12.71076 -12.58373 -12.52485 -12.36132 -12.20433 -12.09113 -11.99952 -11.54626 -11.45749 -11.26532 -10.95514 -10.87118 -10.77947 -10.75419 -10.46392 -10.38988 -10.35561 -10.17568 -9.96980 -9.60070 -9.49748 -9.39740 -8.94518 -8.75435 -8.32199 -7.13562 -5.57210 -2.91298 2.85980 3.17159 3.46661 3.48055 3.52369 3.56151 4.34045 4.45239 4.61101 4.65212 4.72081 4.78314 4.84240 4.88715 4.91724 5.02240 5.06825 5.06923 5.17216 5.32391 5.34589 5.40293 5.47327 5.54821 5.58151 5.58879 5.61961 5.65652 5.66454 5.69070 5.77109 5.79439 5.84843 5.86473 5.93039 5.97014 6.05106 6.07002 6.10379 6.29180 6.32406 6.35731 6.65599 6.76719 6.91889 7.04143 7.07004 7.63659 8.27870 8.39439 8.43152 8.65360 9.43081 10.11550 10.28945 11.61160 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015080 B = 0.002949 C = 0.002669 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1856.274114 B = 9493.606709 C =10489.403103 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C 0.055 3.945 3 O -0.376 6.376 4 C 0.061 3.939 5 C -0.132 4.132 6 C -0.093 4.093 7 C -0.127 4.127 8 C 0.516 3.484 9 O -0.544 6.544 10 N -0.602 5.602 11 C 0.108 3.892 12 C -0.129 4.129 13 C -0.117 4.117 14 C 0.194 3.806 15 C 0.075 3.925 16 O -0.529 6.529 17 N -0.731 5.731 18 C -0.207 4.207 19 H 0.116 0.884 20 C -0.004 4.004 21 N -0.939 5.939 22 Si 0.870 3.130 23 H -0.289 1.289 24 H -0.295 1.295 25 H -0.281 1.281 26 C 0.112 3.888 27 C -0.144 4.144 28 H 0.062 0.938 29 H 0.069 0.931 30 H 0.062 0.938 31 H 0.047 0.953 32 H 0.047 0.953 33 H 0.086 0.914 34 H 0.073 0.927 35 H 0.091 0.909 36 H 0.102 0.898 37 H 0.097 0.903 38 H 0.093 0.907 39 H 0.064 0.936 40 H 0.079 0.921 41 H 0.085 0.915 42 H 0.062 0.938 43 H 0.079 0.921 44 H 0.044 0.956 45 H 0.035 0.965 46 H 0.025 0.975 47 H 0.352 0.648 48 H 0.360 0.640 49 H 0.254 0.746 50 H 0.092 0.908 51 H 0.068 0.932 52 H 0.086 0.914 53 H 0.071 0.929 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -21.107 -6.840 -5.773 22.926 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 -0.209 4.209 2 C -0.022 4.022 3 O -0.296 6.296 4 C 0.004 3.996 5 C -0.170 4.170 6 C -0.112 4.112 7 C -0.167 4.167 8 C 0.305 3.695 9 O -0.422 6.422 10 N -0.335 5.335 11 C -0.014 4.014 12 C -0.167 4.167 13 C -0.156 4.156 14 C 0.102 3.898 15 C -0.006 4.006 16 O -0.331 6.331 17 N -0.373 5.373 18 C -0.337 4.337 19 H 0.134 0.866 20 C -0.197 4.197 21 N -0.589 5.589 22 Si 0.702 3.298 23 H -0.216 1.216 24 H -0.222 1.222 25 H -0.207 1.207 26 C -0.011 4.011 27 C -0.182 4.182 28 H 0.081 0.919 29 H 0.087 0.913 30 H 0.081 0.919 31 H 0.065 0.935 32 H 0.065 0.935 33 H 0.103 0.897 34 H 0.092 0.908 35 H 0.110 0.890 36 H 0.120 0.880 37 H 0.115 0.885 38 H 0.111 0.889 39 H 0.082 0.918 40 H 0.097 0.903 41 H 0.104 0.896 42 H 0.081 0.919 43 H 0.098 0.902 44 H 0.062 0.938 45 H 0.053 0.947 46 H 0.044 0.956 47 H 0.197 0.803 48 H 0.193 0.807 49 H 0.064 0.936 50 H 0.110 0.890 51 H 0.086 0.914 52 H 0.105 0.895 53 H 0.090 0.910 Dipole moment (debyes) X Y Z Total from point charges -21.166 -7.062 -5.327 22.940 hybrid contribution 0.328 -1.398 0.146 1.443 sum -20.838 -8.460 -5.181 23.079 Atomic orbital electron populations 1.21747 0.93920 1.02127 1.03073 1.22493 0.95483 0.84249 0.99954 1.87939 1.20943 1.26045 1.94641 1.23718 0.80630 0.97966 0.97320 1.23302 0.97673 0.97825 0.98154 1.22078 0.97948 0.94924 0.96227 1.21644 0.98056 0.98524 0.98477 1.20596 0.83812 0.83109 0.82016 1.90664 1.56691 1.31542 1.63307 1.47950 1.37507 1.07042 1.40994 1.21900 0.95520 0.84185 0.99844 1.21886 0.95956 0.97601 1.01246 1.21846 0.98136 0.99170 0.96464 1.19910 0.89621 0.92530 0.87775 1.22609 0.89648 0.92989 0.95393 1.87001 1.33951 1.69329 1.42827 1.42792 1.42750 1.25414 1.26301 1.19412 1.06819 1.04109 1.03363 0.86630 1.24630 0.99018 0.97607 0.98489 1.69679 1.27992 1.38928 1.22333 0.86764 0.78187 0.85996 0.78901 1.21634 1.22204 1.20703 1.21717 0.88009 1.01432 0.89931 1.23538 0.97712 1.00105 0.96815 0.91886 0.91257 0.91902 0.93452 0.93511 0.89655 0.90846 0.89014 0.87985 0.88515 0.88909 0.91818 0.90300 0.89619 0.91899 0.90200 0.93780 0.94701 0.95648 0.80312 0.80688 0.93573 0.88987 0.91412 0.89528 0.91040 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 -0.15 -1.03 10.28 37.15 0.38 -0.65 16 2 C 0.05 0.46 6.50 37.15 0.24 0.70 16 3 O -0.38 -4.11 10.36 -35.23 -0.36 -4.47 16 4 C 0.06 0.64 4.31 -25.83 -0.11 0.53 16 5 C -0.13 -1.36 7.47 -25.93 -0.19 -1.55 16 6 C -0.09 -1.13 3.11 -89.81 -0.28 -1.41 16 7 C -0.13 -1.56 3.87 -27.88 -0.11 -1.67 16 8 C 0.52 8.33 7.70 -10.98 -0.08 8.24 16 9 O -0.54 -10.60 15.20 5.55 0.08 -10.51 16 10 N -0.60 -9.19 2.86 -172.52 -0.49 -9.68 16 11 C 0.11 1.36 6.37 -3.48 -0.02 1.33 16 12 C -0.13 -1.97 5.94 -26.39 -0.16 -2.13 16 13 C -0.12 -1.96 4.43 -26.69 -0.12 -2.08 16 14 C 0.19 3.57 0.68 -131.71 -0.09 3.48 16 15 C 0.07 1.29 6.09 37.16 0.23 1.52 16 16 O -0.53 -10.35 9.91 -35.23 -0.35 -10.70 16 17 N -0.73 -17.00 4.03 -47.14 -0.19 -17.19 16 18 C -0.21 -5.71 8.62 -15.06 -0.13 -5.84 16 19 H 0.12 3.44 5.52 -52.49 -0.29 3.15 16 20 C 0.00 -0.11 5.50 -17.43 -0.10 -0.21 16 21 N -0.94 -30.00 13.97 55.49 0.78 -29.23 16 22 Si 0.87 23.17 27.74 -169.99 -4.71 18.45 16 23 H -0.29 -7.87 7.11 56.52 0.40 -7.47 16 24 H -0.30 -7.96 7.11 56.52 0.40 -7.56 16 25 H -0.28 -7.20 6.52 56.52 0.37 -6.83 16 26 C 0.11 1.80 5.14 -3.73 -0.02 1.78 16 27 C -0.14 -1.63 7.48 -25.83 -0.19 -1.82 16 28 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 29 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 30 H 0.06 0.44 8.14 -51.93 -0.42 0.01 16 31 H 0.05 0.37 8.14 -51.93 -0.42 -0.05 16 32 H 0.05 0.35 8.14 -51.93 -0.42 -0.07 16 33 H 0.09 0.81 7.87 -51.93 -0.41 0.41 16 34 H 0.07 0.72 8.14 -51.93 -0.42 0.29 16 35 H 0.09 0.90 8.10 -51.93 -0.42 0.48 16 36 H 0.10 1.45 7.73 -51.93 -0.40 1.05 16 37 H 0.10 1.15 7.70 -51.93 -0.40 0.75 16 38 H 0.09 0.92 7.66 -51.93 -0.40 0.52 16 39 H 0.06 0.67 8.14 -51.93 -0.42 0.24 16 40 H 0.08 0.83 5.94 -51.93 -0.31 0.52 16 41 H 0.09 1.65 7.53 -51.93 -0.39 1.25 16 42 H 0.06 0.83 8.14 -51.93 -0.42 0.40 16 43 H 0.08 1.60 6.98 -51.93 -0.36 1.24 16 44 H 0.04 0.63 8.14 -51.93 -0.42 0.20 16 45 H 0.03 0.61 8.14 -51.93 -0.42 0.18 16 46 H 0.03 0.36 8.14 -51.93 -0.42 -0.06 16 47 H 0.35 5.23 9.12 45.56 0.42 5.65 16 48 H 0.36 8.86 5.51 -40.82 -0.22 8.63 16 49 H 0.25 7.84 8.31 -40.82 -0.34 7.50 16 50 H 0.09 1.66 7.00 -51.93 -0.36 1.29 16 51 H 0.07 0.90 8.14 -51.93 -0.42 0.48 16 52 H 0.09 0.96 7.92 -51.93 -0.41 0.54 16 53 H 0.07 0.86 8.14 -51.93 -0.42 0.43 16 LS Contribution 407.04 15.07 6.13 6.13 Total: -1.00 -35.34 407.04 -8.50 -43.84 By element: Atomic # 1 Polarization: 21.77 SS G_CDS: -8.63 Total: 13.14 kcal Atomic # 6 Polarization: 0.96 SS G_CDS: -0.75 Total: 0.21 kcal Atomic # 7 Polarization: -56.19 SS G_CDS: 0.09 Total: -56.09 kcal Atomic # 8 Polarization: -25.06 SS G_CDS: -0.63 Total: -25.69 kcal Atomic # 14 Polarization: 23.17 SS G_CDS: -4.71 Total: 18.45 kcal Total LS contribution 6.13 Total: 6.13 kcal Total: -35.34 -8.50 -43.84 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. ZINC001327580430.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 -48.097 kcal (2) G-P(sol) polarization free energy of solvation -35.340 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -83.437 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.500 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.841 kcal (6) G-S(sol) free energy of system = (1) + (5) -91.937 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.75 seconds