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 1.53004 * 1 3 3 O 1.42896 * 109.47084 * 2 1 4 4 C 1.52995 * 109.46917 * 120.00413 * 2 1 3 5 5 C 1.50703 * 109.46779 * 178.34624 * 4 2 1 6 6 O 1.21275 * 120.00423 * 5.48266 * 5 4 2 7 7 N 1.34781 * 119.99835 * 185.49012 * 5 4 2 8 8 C 1.46501 * 119.99870 * 359.97438 * 7 5 4 9 9 C 1.50696 * 109.47082 * 90.00377 * 8 7 5 10 10 H 1.08000 * 120.00281 * 359.97438 * 9 8 7 11 11 C 1.37879 * 120.00046 * 179.97438 * 9 8 7 12 12 N 1.31523 * 119.99797 * 359.97438 * 11 9 8 13 13 Si 1.86797 * 120.00179 * 179.97438 * 11 9 8 14 14 H 1.48497 * 109.47034 * 0.02562 * 13 11 9 15 15 H 1.48503 * 109.46978 * 119.99981 * 13 11 9 16 16 H 1.48500 * 109.47160 * 240.00216 * 13 11 9 17 17 C 1.46498 * 120.00184 * 180.02562 * 7 5 4 18 18 C 1.52994 * 109.47358 * 89.99370 * 17 7 5 19 19 N 1.46904 * 109.47013 * 180.02562 * 18 17 7 20 20 C 1.47008 * 111.00146 * 293.63625 * 19 18 17 21 21 C 1.53092 * 109.25913 * 177.60883 * 20 19 18 22 22 O 1.43018 * 109.26058 * 56.84951 * 21 20 19 23 23 C 1.43010 * 113.73828 * 301.33001 * 22 21 20 24 24 C 1.47021 * 110.99791 * 170.00077 * 19 18 17 25 25 C 1.53002 * 109.46655 * 240.00020 * 2 1 3 26 26 C 1.52994 * 117.50210 * 351.38102 * 25 2 1 27 27 C 1.52993 * 59.99994 * 107.48741 * 26 25 2 28 28 H 1.09002 * 109.47245 * 185.21521 * 1 2 3 29 29 H 1.09001 * 109.46832 * 305.21208 * 1 2 3 30 30 H 1.09002 * 109.47280 * 65.21552 * 1 2 3 31 31 H 0.96699 * 113.99900 * 180.02562 * 3 2 1 32 32 H 1.08998 * 109.47085 * 298.34090 * 4 2 1 33 33 H 1.08997 * 109.47786 * 58.34429 * 4 2 1 34 34 H 1.09007 * 109.46959 * 210.00100 * 8 7 5 35 35 H 1.09000 * 109.47044 * 329.99966 * 8 7 5 36 36 H 0.96998 * 119.99518 * 179.97438 * 12 11 9 37 37 H 1.08999 * 109.47326 * 209.99850 * 17 7 5 38 38 H 1.09010 * 109.46816 * 329.99384 * 17 7 5 39 39 H 1.09000 * 109.47440 * 299.99966 * 18 17 7 40 40 H 1.09000 * 109.47005 * 60.00745 * 18 17 7 41 41 H 1.09001 * 109.51028 * 297.54259 * 20 19 18 42 42 H 1.09004 * 109.50755 * 57.67074 * 20 19 18 43 43 H 1.09002 * 109.51085 * 296.91169 * 21 20 19 44 44 H 1.09006 * 109.54514 * 176.80172 * 21 20 19 45 45 H 1.08999 * 109.50642 * 298.73640 * 23 22 21 46 46 H 1.08999 * 109.54820 * 178.62218 * 23 22 21 47 47 H 1.09001 * 109.50756 * 302.32664 * 24 19 18 48 48 H 1.08997 * 109.50649 * 62.41586 * 24 19 18 49 49 H 1.08999 * 115.55542 * 205.68624 * 25 2 1 50 50 H 1.09000 * 117.49446 * 214.98038 * 26 25 2 51 51 H 1.08999 * 117.50202 * 359.97438 * 26 25 2 52 52 H 1.09004 * 117.49884 * 252.50570 * 27 26 25 53 53 H 1.09003 * 117.49825 * 107.48940 * 27 26 25 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 8 2.0063 1.3472 0.0000 4 6 2.0400 -0.7213 1.2492 5 6 3.5464 -0.7569 1.2288 6 8 4.1552 -0.1699 0.3596 7 7 4.2172 -1.4414 2.1765 8 6 3.4818 -2.1502 3.2268 9 6 3.1907 -3.5577 2.7737 10 1 3.5201 -3.8907 1.8005 11 6 2.5038 -4.4202 3.6014 12 7 2.1031 -4.0148 4.7867 13 14 2.1423 -6.1646 3.0395 14 1 2.6960 -6.3705 1.6771 15 1 2.7705 -7.1276 3.9794 16 1 0.6736 -6.3826 3.0156 17 6 5.6817 -1.4755 2.1571 18 6 6.2300 -0.3056 2.9764 19 7 7.6985 -0.3396 2.9564 20 6 8.2079 -1.5230 3.6645 21 6 9.7355 -1.5504 3.5682 22 8 10.2637 -0.3323 4.0999 23 6 9.7891 0.8405 3.4333 24 6 8.2619 0.8922 3.5282 25 6 2.0399 -0.7213 -1.2493 26 6 1.0103 -1.4540 -2.1117 27 6 1.6357 -0.1495 -2.6096 28 1 -0.3634 -1.0234 0.0934 29 1 -0.3633 0.5926 0.8396 30 1 -0.3634 0.4308 -0.9330 31 1 2.9703 1.4236 -0.0004 32 1 1.7011 -0.1907 2.1389 33 1 1.6526 -1.7400 1.2642 34 1 4.0829 -2.1781 4.1357 35 1 2.5442 -1.6317 3.4271 36 1 1.6195 -4.6215 5.3689 37 1 6.0289 -2.4148 2.5875 38 1 6.0333 -1.3952 1.1285 39 1 5.8829 0.6337 2.5460 40 1 5.8784 -0.3860 4.0050 41 1 7.9100 -1.4766 4.7120 42 1 7.7981 -2.4243 3.2086 43 1 10.0327 -1.6509 2.5243 44 1 10.1218 -2.3946 4.1395 45 1 10.0877 0.8095 2.3854 46 1 10.2133 1.7259 3.9066 47 1 7.8916 1.7538 2.9727 48 1 7.9642 0.9776 4.5732 49 1 3.0321 -1.1644 -1.1644 50 1 1.3252 -2.3793 -2.5942 51 1 -0.0303 -1.4227 -1.7889 52 1 1.0063 0.7405 -2.6145 53 1 2.3619 -0.2165 -3.4196 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 ZINC000339394436.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 = -102.794607 kcal Electronic energy + Delta-G solvation = -31705.478238 eV Core-core repulsion = 27578.058471 eV Total energy + Delta-G solvation = -4127.419767 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.83 seconds Orbital eigenvalues (eV) -40.04959 -39.51444 -38.06867 -36.14347 -35.08575 -34.76061 -32.69737 -31.55136 -31.23384 -29.90480 -27.79452 -27.33127 -25.70414 -24.06150 -23.43678 -23.02982 -22.10502 -21.82484 -20.35186 -19.42518 -18.41419 -16.86160 -16.61502 -16.55270 -16.30697 -16.17804 -15.76573 -15.16258 -15.11350 -15.04446 -14.92465 -14.57518 -14.30247 -14.05356 -13.57122 -13.26256 -12.99938 -12.70513 -12.44319 -12.40802 -12.24726 -12.17584 -12.04032 -11.82247 -11.58646 -11.52520 -11.43097 -11.32223 -11.06689 -10.98816 -10.89498 -10.73707 -10.51066 -10.42970 -10.23110 -10.18177 -9.87519 -9.83346 -9.71173 -9.41714 -9.06166 -8.65153 -8.38918 -7.84820 -6.27661 -4.35631 3.15324 3.22532 3.25326 3.29530 3.52400 3.79178 4.02307 4.12061 4.26387 4.72184 4.82018 4.88407 4.96006 4.98468 5.05771 5.07634 5.09095 5.17926 5.22282 5.31594 5.35771 5.43259 5.49814 5.52204 5.58732 5.60272 5.73103 5.79048 5.81834 5.89021 5.91134 5.92002 5.95225 6.02551 6.07242 6.19748 6.27533 6.33799 6.34592 6.38078 6.48771 6.59505 6.66928 6.95224 6.99777 7.06573 7.07408 7.40811 7.66722 7.94709 8.10730 8.26766 8.68877 8.89162 9.33146 10.79111 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.007717 B = 0.004037 C = 0.002905 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3627.356544 B = 6934.979975 C = 9635.731302 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.141 4.141 2 C 0.181 3.819 3 O -0.567 6.567 4 C -0.162 4.162 5 C 0.522 3.478 6 O -0.575 6.575 7 N -0.591 5.591 8 C 0.237 3.763 9 C -0.539 4.539 10 H 0.062 0.938 11 C 0.066 3.934 12 N -0.890 5.890 13 Si 0.895 3.105 14 H -0.272 1.272 15 H -0.282 1.282 16 H -0.281 1.281 17 C 0.125 3.875 18 C 0.045 3.955 19 N -0.533 5.533 20 C 0.012 3.988 21 C 0.065 3.935 22 O -0.389 6.389 23 C 0.065 3.935 24 C 0.018 3.982 25 C -0.169 4.169 26 C -0.187 4.187 27 C -0.169 4.169 28 H 0.073 0.927 29 H 0.062 0.938 30 H 0.061 0.939 31 H 0.385 0.615 32 H 0.095 0.905 33 H 0.114 0.886 34 H 0.034 0.966 35 H 0.039 0.961 36 H 0.265 0.735 37 H 0.076 0.924 38 H 0.081 0.919 39 H 0.076 0.924 40 H 0.037 0.963 41 H 0.044 0.956 42 H 0.093 0.907 43 H 0.059 0.941 44 H 0.097 0.903 45 H 0.059 0.941 46 H 0.095 0.905 47 H 0.085 0.915 48 H 0.041 0.959 49 H 0.116 0.884 50 H 0.089 0.911 51 H 0.098 0.902 52 H 0.092 0.908 53 H 0.087 0.913 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 5.847 7.011 -4.911 10.367 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 -0.198 4.198 2 C 0.140 3.860 3 O -0.378 6.378 4 C -0.202 4.202 5 C 0.312 3.688 6 O -0.458 6.458 7 N -0.321 5.321 8 C 0.117 3.883 9 C -0.577 4.577 10 H 0.080 0.920 11 C -0.137 4.137 12 N -0.528 5.528 13 Si 0.723 3.277 14 H -0.196 1.196 15 H -0.208 1.208 16 H -0.207 1.207 17 C 0.001 3.999 18 C -0.084 4.084 19 N -0.258 5.258 20 C -0.116 4.116 21 C -0.012 4.012 22 O -0.308 6.308 23 C -0.012 4.012 24 C -0.110 4.110 25 C -0.188 4.188 26 C -0.223 4.223 27 C -0.206 4.206 28 H 0.092 0.908 29 H 0.081 0.919 30 H 0.080 0.920 31 H 0.238 0.762 32 H 0.114 0.886 33 H 0.132 0.868 34 H 0.052 0.948 35 H 0.057 0.943 36 H 0.075 0.925 37 H 0.094 0.906 38 H 0.099 0.901 39 H 0.094 0.906 40 H 0.055 0.945 41 H 0.062 0.938 42 H 0.111 0.889 43 H 0.077 0.923 44 H 0.115 0.885 45 H 0.077 0.923 46 H 0.113 0.887 47 H 0.103 0.897 48 H 0.059 0.941 49 H 0.134 0.866 50 H 0.107 0.893 51 H 0.116 0.884 52 H 0.111 0.889 53 H 0.105 0.895 Dipole moment (debyes) X Y Z Total from point charges 5.719 7.328 -5.480 10.791 hybrid contribution -0.182 -1.323 0.673 1.496 sum 5.537 6.005 -4.807 9.477 Atomic orbital electron populations 1.21867 0.93139 1.02390 1.02436 1.20260 0.93293 0.81755 0.90737 1.86335 1.29016 1.25539 1.96884 1.22375 0.93230 1.04710 0.99845 1.20497 0.89938 0.77777 0.80604 1.90477 1.70452 1.47225 1.37676 1.48209 1.05768 1.49307 1.28806 1.19469 0.91995 0.91601 0.85253 1.21494 1.36925 0.96479 1.02826 0.91980 1.24939 0.95220 0.98862 0.94672 1.69931 1.38037 1.36285 1.08544 0.86477 0.78219 0.84098 0.78948 1.19602 1.20830 1.20720 1.21176 0.80543 0.97144 1.01033 1.22496 0.85692 1.00775 0.99390 1.62147 1.07794 1.01947 1.53957 1.22878 0.96115 0.94973 0.97650 1.22680 0.92196 0.86948 0.99401 1.87958 1.69085 1.14433 1.59282 1.22642 0.92532 0.88280 0.97734 1.22764 0.96016 0.93624 0.98604 1.23143 1.00358 1.03428 0.91832 1.23102 0.98831 0.95902 1.04514 1.22759 1.03565 0.97070 0.97239 0.90780 0.91892 0.92021 0.76168 0.88636 0.86830 0.94827 0.94270 0.92488 0.90582 0.90079 0.90556 0.94456 0.93760 0.88911 0.92263 0.88499 0.92291 0.88690 0.89681 0.94058 0.86640 0.89281 0.88351 0.88937 0.89470 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 -0.14 -1.95 7.44 37.16 0.28 -1.67 16 2 C 0.18 2.89 0.92 -90.62 -0.08 2.80 16 3 O -0.57 -9.65 12.87 -53.84 -0.69 -10.34 16 4 C -0.16 -2.84 3.46 -27.88 -0.10 -2.94 16 5 C 0.52 9.94 6.93 -10.98 -0.08 9.86 16 6 O -0.57 -11.25 11.71 -13.04 -0.15 -11.40 16 7 N -0.59 -11.56 2.46 -175.06 -0.43 -11.99 16 8 C 0.24 5.30 4.90 -5.19 -0.03 5.27 16 9 C -0.54 -13.30 9.08 -34.44 -0.31 -13.61 16 10 H 0.06 1.57 7.81 -52.49 -0.41 1.16 16 11 C 0.07 1.69 5.46 -17.81 -0.10 1.59 16 12 N -0.89 -23.67 13.29 55.43 0.74 -22.93 16 13 Si 0.90 19.87 29.54 -169.99 -5.02 14.85 16 14 H -0.27 -6.01 7.11 56.52 0.40 -5.61 16 15 H -0.28 -6.27 7.11 56.52 0.40 -5.87 16 16 H -0.28 -6.22 7.11 56.52 0.40 -5.81 16 17 C 0.13 2.19 5.34 -4.05 -0.02 2.17 16 18 C 0.05 0.71 5.28 -3.83 -0.02 0.68 16 19 N -0.53 -7.38 4.73 -234.31 -1.11 -8.49 16 20 C 0.01 0.16 5.44 -3.72 -0.02 0.14 16 21 C 0.06 0.74 7.01 37.21 0.26 1.00 16 22 O -0.39 -4.93 10.83 -35.23 -0.38 -5.31 16 23 C 0.07 0.70 7.01 37.21 0.26 0.96 16 24 C 0.02 0.22 5.65 -3.70 -0.02 0.20 16 25 C -0.17 -2.68 4.71 -90.63 -0.43 -3.10 16 26 C -0.19 -2.52 9.57 -26.74 -0.26 -2.78 16 27 C -0.17 -2.32 9.77 -26.74 -0.26 -2.58 16 28 H 0.07 0.96 7.33 -51.93 -0.38 0.57 16 29 H 0.06 0.85 8.14 -51.93 -0.42 0.43 16 30 H 0.06 0.79 6.70 -51.93 -0.35 0.44 16 31 H 0.39 6.65 6.50 45.56 0.30 6.95 16 32 H 0.10 1.66 7.68 -51.93 -0.40 1.26 16 33 H 0.11 2.14 7.66 -51.93 -0.40 1.74 16 34 H 0.03 0.80 8.07 -51.93 -0.42 0.38 16 35 H 0.04 0.91 6.59 -51.93 -0.34 0.57 16 36 H 0.27 6.73 8.31 -40.82 -0.34 6.39 16 37 H 0.08 1.35 6.45 -51.93 -0.33 1.02 16 38 H 0.08 1.48 7.42 -51.92 -0.39 1.10 16 39 H 0.08 1.24 8.04 -51.93 -0.42 0.82 16 40 H 0.04 0.62 8.12 -51.93 -0.42 0.19 16 41 H 0.04 0.61 8.14 -51.93 -0.42 0.19 16 42 H 0.09 1.21 6.38 -51.93 -0.33 0.88 16 43 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 44 H 0.10 0.94 8.14 -51.93 -0.42 0.52 16 45 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 46 H 0.10 0.82 8.14 -51.93 -0.42 0.39 16 47 H 0.08 0.94 8.09 -51.93 -0.42 0.52 16 48 H 0.04 0.51 8.14 -51.93 -0.42 0.09 16 49 H 0.12 2.11 6.13 -51.93 -0.32 1.79 16 50 H 0.09 1.15 8.14 -51.93 -0.42 0.73 16 51 H 0.10 1.22 5.88 -51.93 -0.31 0.91 16 52 H 0.09 1.23 7.58 -51.93 -0.39 0.84 16 53 H 0.09 1.13 8.14 -51.93 -0.42 0.70 16 LS Contribution 408.71 15.07 6.16 6.16 Total: -1.00 -27.28 408.71 -10.48 -37.76 By element: Atomic # 1 Polarization: 22.38 SS G_CDS: -8.67 Total: 13.71 kcal Atomic # 6 Polarization: -1.08 SS G_CDS: -0.92 Total: -2.00 kcal Atomic # 7 Polarization: -42.60 SS G_CDS: -0.80 Total: -43.40 kcal Atomic # 8 Polarization: -25.83 SS G_CDS: -1.23 Total: -27.06 kcal Atomic # 14 Polarization: 19.87 SS G_CDS: -5.02 Total: 14.85 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -27.28 -10.48 -37.76 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. ZINC000339394436.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 -65.038 kcal (2) G-P(sol) polarization free energy of solvation -27.279 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -92.317 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.478 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -37.757 kcal (6) G-S(sol) free energy of system = (1) + (5) -102.795 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.83 seconds