Wall clock time and date at job start Sat Apr 11 2020 06:11:33 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 1.45191 * 1 3 3 C 1.34225 * 117.00686 * 2 1 4 4 O 1.20832 * 119.99672 * 5.07284 * 3 2 1 5 5 C 1.50696 * 120.00700 * 185.07419 * 3 2 1 6 6 C 1.53001 * 109.47219 * 174.72924 * 5 3 2 7 7 C 1.52994 * 115.55032 * 295.29422 * 6 5 3 8 8 N 1.46900 * 109.47514 * 268.25565 * 7 6 5 9 9 C 1.46896 * 111.00268 * 206.33299 * 8 7 6 10 10 C 1.50701 * 109.47558 * 72.09918 * 9 8 7 11 11 H 1.08004 * 119.99478 * 355.42807 * 10 9 8 12 12 C 1.37872 * 120.00443 * 175.41734 * 10 9 8 13 13 N 1.31521 * 119.99884 * 0.02562 * 12 10 9 14 14 Si 1.86798 * 120.00383 * 180.02562 * 12 10 9 15 15 H 1.48503 * 109.47060 * 59.99802 * 14 12 10 16 16 H 1.48497 * 109.47348 * 180.02562 * 14 12 10 17 17 H 1.48503 * 109.47016 * 300.00283 * 14 12 10 18 18 C 1.46897 * 111.00437 * 82.37424 * 8 7 6 19 19 C 1.53000 * 109.47028 * 200.42599 * 18 8 7 20 20 N 1.46910 * 109.46592 * 179.97438 * 19 18 8 21 21 C 1.47012 * 110.99915 * 293.63126 * 20 19 18 22 22 C 1.53097 * 109.25682 * 177.61397 * 21 20 19 23 23 O 1.43006 * 109.26151 * 56.84746 * 22 21 20 24 24 C 1.43021 * 113.73926 * 301.33126 * 23 22 21 25 25 C 1.47012 * 110.99574 * 170.00064 * 20 19 18 26 26 C 1.52999 * 117.51930 * 80.99814 * 6 5 3 27 27 C 1.53001 * 117.49822 * 149.62892 * 6 5 3 28 28 H 1.09002 * 109.47214 * 304.56062 * 1 2 3 29 29 H 1.09005 * 109.47255 * 64.55883 * 1 2 3 30 30 H 1.09003 * 109.47508 * 184.55638 * 1 2 3 31 31 H 1.08991 * 109.47145 * 54.72482 * 5 3 2 32 32 H 1.09007 * 109.46673 * 294.72506 * 5 3 2 33 33 H 1.09003 * 109.47160 * 148.24728 * 7 6 5 34 34 H 1.09006 * 109.46805 * 28.25331 * 7 6 5 35 35 H 1.09000 * 109.47379 * 192.10565 * 9 8 7 36 36 H 1.09006 * 109.46772 * 312.10783 * 9 8 7 37 37 H 0.96996 * 119.99824 * 179.97438 * 13 12 10 38 38 H 1.08997 * 109.47008 * 80.41867 * 18 8 7 39 39 H 1.09001 * 109.47126 * 320.42137 * 18 8 7 40 40 H 1.08994 * 109.47110 * 299.99156 * 19 18 8 41 41 H 1.08995 * 109.47342 * 60.00357 * 19 18 8 42 42 H 1.08999 * 109.50845 * 297.54531 * 21 20 19 43 43 H 1.08992 * 109.51015 * 57.67665 * 21 20 19 44 44 H 1.09002 * 109.50515 * 296.91231 * 22 21 20 45 45 H 1.08996 * 109.54155 * 176.80641 * 22 21 20 46 46 H 1.08999 * 109.50813 * 298.73368 * 24 23 22 47 47 H 1.08996 * 109.54497 * 178.62627 * 24 23 22 48 48 H 1.09006 * 109.50537 * 302.32086 * 25 20 19 49 49 H 1.08999 * 109.51374 * 62.40956 * 25 20 19 50 50 H 1.09001 * 117.49989 * 214.96673 * 26 6 5 51 51 H 1.09000 * 117.49962 * 359.97438 * 26 6 5 52 52 H 1.09008 * 117.50003 * 359.97152 * 27 6 5 53 53 H 1.08999 * 117.50407 * 144.99520 * 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 8 1.4519 0.0000 0.0000 3 6 2.0614 1.1959 0.0000 4 8 1.4070 2.2074 0.0925 5 6 3.5618 1.2771 -0.1154 6 6 3.9864 2.7430 -0.2229 7 6 3.5125 3.4769 -1.4790 8 7 4.5353 3.3639 -2.5274 9 6 4.4570 4.4936 -3.4631 10 6 4.9616 5.7421 -2.7867 11 1 5.2363 5.7171 -1.7425 12 6 5.0726 6.9163 -3.5007 13 7 4.7377 6.9468 -4.7722 14 14 5.6986 8.4638 -2.6624 15 1 7.0708 8.2266 -2.1464 16 1 5.7232 9.5811 -3.6402 17 1 4.7991 8.8139 -1.5339 18 6 4.4218 2.0831 -3.2378 19 6 5.7461 1.7683 -3.9363 20 7 5.6327 0.4871 -4.6462 21 6 5.4705 -0.6266 -3.7005 22 6 5.2968 -1.9315 -4.4821 23 8 6.4199 -2.1158 -5.3480 24 6 6.6073 -1.0497 -6.2827 25 6 6.7943 0.2641 -5.5193 26 6 4.0782 3.5494 1.0741 27 6 5.3547 3.1256 0.3448 28 1 -0.3634 0.5830 0.8463 29 1 -0.3634 0.4415 -0.9280 30 1 -0.3634 -1.0244 0.0816 31 1 3.8874 0.7383 -1.0051 32 1 4.0188 0.8303 0.7676 33 1 3.3469 4.5285 -1.2447 34 1 2.5815 3.0319 -1.8302 35 1 5.0695 4.2824 -4.3397 36 1 3.4214 4.6400 -3.7701 37 1 4.8155 7.7730 -5.2745 38 1 3.6260 2.1484 -3.9798 39 1 4.1899 1.2916 -2.5251 40 1 5.9780 2.5597 -4.6491 41 1 6.5418 1.7029 -3.1943 42 1 6.3541 -0.6972 -3.0662 43 1 4.5903 -0.4532 -3.0815 44 1 4.3839 -1.8815 -5.0757 45 1 5.2328 -2.7677 -3.7859 46 1 5.7326 -0.9740 -6.9287 47 1 7.4913 -1.2474 -6.8889 48 1 6.8804 1.0878 -6.2281 49 1 7.6992 0.2086 -4.9142 50 1 3.8010 4.6027 1.0325 51 1 3.8356 3.0357 2.0043 52 1 5.9522 2.3330 0.7953 53 1 5.9173 3.9001 -0.1765 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 ZINC000440774753.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 06:11:33 Heat of formation + Delta-G solvation = -88.572884 kcal Electronic energy + Delta-G solvation = -31796.584380 eV Core-core repulsion = 27669.781313 eV Total energy + Delta-G solvation = -4126.803067 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.72 seconds Orbital eigenvalues (eV) -40.53232 -39.54370 -38.33223 -36.54237 -36.05347 -34.93770 -32.49707 -31.23651 -30.28345 -29.60309 -27.68096 -27.02680 -26.38991 -24.22544 -23.91287 -22.28120 -21.92117 -21.50690 -20.38909 -19.85586 -18.62539 -17.53192 -16.67025 -16.52569 -16.40754 -16.27724 -16.11120 -15.19992 -15.11071 -15.05405 -14.96621 -14.47410 -14.40154 -14.14979 -13.71710 -13.42814 -13.32434 -13.17554 -12.66873 -12.47918 -12.22615 -12.19533 -12.09323 -11.86531 -11.67131 -11.41346 -11.33117 -11.14311 -11.03829 -10.84399 -10.81020 -10.68141 -10.64084 -10.47912 -10.37806 -10.19514 -9.87806 -9.72860 -9.66897 -9.27590 -9.16386 -8.41184 -8.25440 -7.23533 -6.00780 -4.01720 2.27859 2.71089 3.34018 3.38323 3.40823 3.72617 3.89084 4.16787 4.44732 4.74896 4.85171 4.89957 4.96047 5.00411 5.01157 5.06725 5.07235 5.11108 5.13455 5.25282 5.29846 5.34263 5.37297 5.41563 5.50666 5.53673 5.60039 5.67168 5.71749 5.79590 5.82419 5.88330 5.95766 6.02612 6.11148 6.23634 6.30717 6.37088 6.39621 6.46263 6.56839 6.69613 6.79372 7.02025 7.10475 7.14554 7.28770 7.37919 7.82526 7.83730 8.12348 8.22993 8.56041 9.05332 9.62171 11.09786 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.006466 B = 0.004730 C = 0.003026 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 4329.355940 B = 5918.140932 C = 9249.404643 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.035 3.965 2 O -0.367 6.367 3 C 0.456 3.544 4 O -0.490 6.490 5 C -0.077 4.077 6 C -0.109 4.109 7 C 0.105 3.895 8 N -0.532 5.532 9 C 0.194 3.806 10 C -0.503 4.503 11 H 0.062 0.938 12 C 0.056 3.944 13 N -0.899 5.899 14 Si 0.894 3.106 15 H -0.277 1.277 16 H -0.289 1.289 17 H -0.278 1.278 18 C 0.060 3.940 19 C 0.065 3.935 20 N -0.538 5.538 21 C 0.016 3.984 22 C 0.064 3.936 23 O -0.389 6.389 24 C 0.065 3.935 25 C 0.019 3.981 26 C -0.168 4.168 27 C -0.143 4.143 28 H 0.062 0.938 29 H 0.061 0.939 30 H 0.097 0.903 31 H 0.106 0.894 32 H 0.101 0.899 33 H 0.087 0.913 34 H 0.026 0.974 35 H 0.034 0.966 36 H -0.013 1.013 37 H 0.261 0.739 38 H 0.031 0.969 39 H 0.056 0.944 40 H 0.083 0.917 41 H 0.041 0.959 42 H 0.042 0.958 43 H 0.085 0.915 44 H 0.058 0.942 45 H 0.094 0.906 46 H 0.058 0.942 47 H 0.095 0.905 48 H 0.087 0.913 49 H 0.041 0.959 50 H 0.096 0.904 51 H 0.083 0.917 52 H 0.083 0.917 53 H 0.112 0.888 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.371 -18.070 5.572 18.959 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 -0.058 4.058 2 O -0.285 6.285 3 C 0.299 3.701 4 O -0.375 6.375 5 C -0.114 4.114 6 C -0.110 4.110 7 C -0.023 4.023 8 N -0.256 5.256 9 C 0.069 3.931 10 C -0.541 4.541 11 H 0.080 0.920 12 C -0.145 4.145 13 N -0.538 5.538 14 Si 0.722 3.278 15 H -0.202 1.202 16 H -0.215 1.215 17 H -0.203 1.203 18 C -0.069 4.069 19 C -0.063 4.063 20 N -0.264 5.264 21 C -0.112 4.112 22 C -0.013 4.013 23 O -0.308 6.308 24 C -0.012 4.012 25 C -0.109 4.109 26 C -0.206 4.206 27 C -0.180 4.180 28 H 0.080 0.920 29 H 0.080 0.920 30 H 0.116 0.884 31 H 0.124 0.876 32 H 0.119 0.881 33 H 0.105 0.895 34 H 0.044 0.956 35 H 0.052 0.948 36 H 0.004 0.996 37 H 0.071 0.929 38 H 0.049 0.951 39 H 0.074 0.926 40 H 0.101 0.899 41 H 0.060 0.940 42 H 0.060 0.940 43 H 0.103 0.897 44 H 0.076 0.924 45 H 0.113 0.887 46 H 0.077 0.923 47 H 0.113 0.887 48 H 0.105 0.895 49 H 0.059 0.941 50 H 0.115 0.885 51 H 0.101 0.899 52 H 0.102 0.898 53 H 0.130 0.870 Dipole moment (debyes) X Y Z Total from point charges -1.462 -17.748 5.378 18.603 hybrid contribution -0.212 1.188 0.454 1.289 sum -1.674 -16.560 5.832 17.637 Atomic orbital electron populations 1.23210 0.76745 1.03308 1.02578 1.86498 1.23187 1.34087 1.84711 1.23930 0.92220 0.81186 0.72806 1.90695 1.67010 1.36173 1.43652 1.21099 0.87134 0.98222 1.04992 1.21122 1.02008 0.91833 0.96016 1.21420 0.91305 1.00430 0.89179 1.61977 1.47711 1.01808 1.14122 1.19769 0.95283 0.87063 0.91018 1.21099 1.42840 0.93193 0.97009 0.91999 1.24962 0.95761 0.98943 0.94826 1.69948 1.48742 1.27457 1.07693 0.86619 0.79444 0.82578 0.79109 1.20227 1.21452 1.20324 1.22048 0.95696 0.93032 0.96090 1.22089 0.97731 0.89425 0.97041 1.62166 1.40076 1.02615 1.21569 1.22801 1.01799 0.91644 0.94956 1.22662 0.89179 0.96660 0.92812 1.87947 1.49238 1.44331 1.49286 1.22665 1.01772 0.85781 0.91028 1.22742 0.92148 0.98824 0.97205 1.22999 1.02502 1.00754 0.94341 1.22907 0.89887 1.03340 1.01852 0.91955 0.91994 0.88423 0.87596 0.88069 0.89460 0.95554 0.94808 0.99555 0.92947 0.95078 0.92560 0.89906 0.94044 0.94016 0.89692 0.92418 0.88747 0.92335 0.88687 0.89459 0.94053 0.88546 0.89891 0.89841 0.87002 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 0.04 0.34 10.65 101.05 1.08 1.41 16 2 O -0.37 -4.46 10.56 -39.25 -0.41 -4.87 16 3 C 0.46 6.40 7.50 36.00 0.27 6.67 16 4 O -0.49 -8.35 14.57 -18.76 -0.27 -8.62 16 5 C -0.08 -0.97 5.51 -27.88 -0.15 -1.12 16 6 C -0.11 -1.67 1.11 -154.51 -0.17 -1.84 16 7 C 0.10 2.02 4.43 -3.83 -0.02 2.00 16 8 N -0.53 -10.71 4.03 -236.08 -0.95 -11.67 16 9 C 0.19 4.87 4.51 -4.98 -0.02 4.84 16 10 C -0.50 -13.65 8.38 -34.44 -0.29 -13.94 16 11 H 0.06 1.65 7.66 -52.48 -0.40 1.25 16 12 C 0.06 1.57 5.46 -17.82 -0.10 1.47 16 13 N -0.90 -26.41 13.29 55.43 0.74 -25.68 16 14 Si 0.89 21.49 29.54 -169.99 -5.02 16.47 16 15 H -0.28 -6.54 7.11 56.52 0.40 -6.14 16 16 H -0.29 -6.92 7.11 56.52 0.40 -6.52 16 17 H -0.28 -6.60 7.11 56.52 0.40 -6.20 16 18 C 0.06 1.04 4.71 -3.83 -0.02 1.02 16 19 C 0.06 1.05 5.08 -3.82 -0.02 1.04 16 20 N -0.54 -7.55 4.73 -234.31 -1.11 -8.66 16 21 C 0.02 0.20 5.44 -3.71 -0.02 0.18 16 22 C 0.06 0.69 7.01 37.21 0.26 0.95 16 23 O -0.39 -4.82 10.83 -35.23 -0.38 -5.20 16 24 C 0.06 0.71 7.01 37.21 0.26 0.97 16 25 C 0.02 0.24 5.64 -3.71 -0.02 0.22 16 26 C -0.17 -2.47 9.82 -26.73 -0.26 -2.73 16 27 C -0.14 -2.09 9.69 -26.73 -0.26 -2.35 16 28 H 0.06 0.59 7.98 -51.93 -0.41 0.18 16 29 H 0.06 0.60 8.14 -51.93 -0.42 0.18 16 30 H 0.10 0.62 8.14 -51.93 -0.42 0.20 16 31 H 0.11 1.26 5.56 -51.93 -0.29 0.97 16 32 H 0.10 1.02 8.10 -51.92 -0.42 0.60 16 33 H 0.09 1.93 6.72 -51.93 -0.35 1.58 16 34 H 0.03 0.52 6.58 -51.93 -0.34 0.18 16 35 H 0.03 0.91 6.58 -51.93 -0.34 0.57 16 36 H -0.01 -0.37 8.05 -51.93 -0.42 -0.79 16 37 H 0.26 7.32 8.31 -40.82 -0.34 6.98 16 38 H 0.03 0.59 7.99 -51.93 -0.41 0.18 16 39 H 0.06 0.85 3.31 -51.93 -0.17 0.68 16 40 H 0.08 1.55 6.69 -51.93 -0.35 1.20 16 41 H 0.04 0.69 8.12 -51.93 -0.42 0.27 16 42 H 0.04 0.51 8.14 -51.93 -0.42 0.09 16 43 H 0.08 0.97 6.38 -51.93 -0.33 0.64 16 44 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 45 H 0.09 0.82 8.14 -51.93 -0.42 0.39 16 46 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 47 H 0.10 0.86 8.14 -51.93 -0.42 0.43 16 48 H 0.09 1.08 8.09 -51.93 -0.42 0.66 16 49 H 0.04 0.53 8.14 -51.93 -0.42 0.10 16 50 H 0.10 1.54 8.03 -51.93 -0.42 1.12 16 51 H 0.08 1.06 8.14 -51.93 -0.42 0.64 16 52 H 0.08 1.02 8.14 -51.92 -0.42 0.60 16 53 H 0.11 1.94 8.14 -51.93 -0.42 1.51 16 LS Contribution 414.51 15.07 6.25 6.25 Total: -1.00 -31.30 414.51 -9.93 -41.23 By element: Atomic # 1 Polarization: 11.25 SS G_CDS: -9.28 Total: 1.97 kcal Atomic # 6 Polarization: -1.74 SS G_CDS: 0.52 Total: -1.22 kcal Atomic # 7 Polarization: -44.68 SS G_CDS: -1.32 Total: -46.00 kcal Atomic # 8 Polarization: -17.63 SS G_CDS: -1.07 Total: -18.70 kcal Atomic # 14 Polarization: 21.49 SS G_CDS: -5.02 Total: 16.47 kcal Total LS contribution 6.25 Total: 6.25 kcal Total: -31.30 -9.93 -41.23 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. ZINC000440774753.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 -47.340 kcal (2) G-P(sol) polarization free energy of solvation -31.299 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -78.639 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.934 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.233 kcal (6) G-S(sol) free energy of system = (1) + (5) -88.573 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.72 seconds