Wall clock time and date at job start Tue Mar 31 2020 19:52:54 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 1.52999 * 1 3 3 C 1.52997 * 109.47138 * 2 1 4 4 C 1.52999 * 109.46893 * 239.99929 * 2 1 3 5 5 C 1.50703 * 109.47006 * 119.99691 * 2 1 3 6 6 O 1.20759 * 119.99816 * 0.02562 * 5 2 1 7 7 C 1.50697 * 119.99673 * 179.97438 * 5 2 1 8 8 N 1.46500 * 109.46956 * 180.02562 * 7 5 2 9 9 C 1.46923 * 124.35161 * 270.02258 * 8 7 5 10 10 C 1.53810 * 105.35677 * 196.42566 * 9 8 7 11 11 C 1.53987 * 102.45492 * 335.28551 * 10 9 8 12 12 C 1.34498 * 124.35337 * 90.02398 * 8 7 5 13 13 O 1.21280 * 124.94882 * 359.66210 * 12 8 7 14 14 C 1.52236 * 110.64461 * 217.48863 * 10 9 8 15 15 C 1.53238 * 109.42708 * 293.29395 * 14 10 9 16 16 C 1.53137 * 109.07250 * 303.59354 * 15 14 10 17 17 C 1.53042 * 109.34124 * 58.32440 * 16 15 14 18 18 N 1.45970 * 110.79223 * 93.34048 * 10 9 8 19 19 C 1.46904 * 110.99728 * 299.89937 * 18 10 9 20 20 C 1.50702 * 109.47014 * 176.26627 * 19 18 10 21 21 H 1.07997 * 120.00041 * 5.41494 * 20 19 18 22 22 C 1.37872 * 119.99940 * 185.41202 * 20 19 18 23 23 N 1.31511 * 120.00173 * 0.02562 * 22 20 19 24 24 Si 1.86804 * 120.00182 * 179.97438 * 22 20 19 25 25 H 1.48500 * 109.46806 * 0.02562 * 24 22 20 26 26 H 1.48496 * 109.46859 * 119.99967 * 24 22 20 27 27 H 1.48498 * 109.47412 * 240.00541 * 24 22 20 28 28 H 1.09006 * 109.47038 * 300.00066 * 1 2 3 29 29 H 1.09000 * 109.47670 * 59.99820 * 1 2 3 30 30 H 1.08995 * 109.47296 * 180.02562 * 1 2 3 31 31 H 1.09000 * 109.47202 * 180.02562 * 3 2 1 32 32 H 1.09006 * 109.46910 * 300.00146 * 3 2 1 33 33 H 1.08997 * 109.47409 * 59.99985 * 3 2 1 34 34 H 1.08995 * 109.47125 * 300.00075 * 4 2 1 35 35 H 1.08999 * 109.47302 * 60.00224 * 4 2 1 36 36 H 1.08996 * 109.46699 * 179.97438 * 4 2 1 37 37 H 1.09001 * 109.47428 * 60.00195 * 7 5 2 38 38 H 1.09002 * 109.47288 * 299.99826 * 7 5 2 39 39 H 1.09005 * 110.26499 * 77.45841 * 9 8 7 40 40 H 1.08997 * 110.27121 * 315.40495 * 9 8 7 41 41 H 1.09003 * 110.51368 * 142.77579 * 11 10 9 42 42 H 1.08998 * 110.51096 * 265.48140 * 11 10 9 43 43 H 1.09002 * 109.47722 * 53.27693 * 14 10 9 44 44 H 1.08999 * 109.47939 * 173.30691 * 14 10 9 45 45 H 1.08997 * 109.54329 * 63.47169 * 15 14 10 46 46 H 1.09002 * 109.54121 * 183.63206 * 15 14 10 47 47 H 1.08993 * 109.49258 * 178.28838 * 16 15 14 48 48 H 1.08998 * 109.48791 * 298.34233 * 16 15 14 49 49 H 1.09001 * 109.46876 * 180.16318 * 17 16 15 50 50 H 1.08999 * 109.47559 * 60.16180 * 17 16 15 51 51 H 1.08999 * 109.47121 * 296.27040 * 19 18 10 52 52 H 1.09002 * 109.46930 * 56.27391 * 19 18 10 53 53 H 0.97002 * 120.00298 * 179.97438 * 23 22 20 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 6 2.0399 -0.7213 -1.2492 5 6 2.0323 -0.7104 1.2305 6 8 1.2475 -1.1696 2.0252 7 6 3.5139 -0.8485 1.4687 8 7 3.7416 -1.5725 2.7218 9 6 3.8705 -0.9319 4.0377 10 6 4.5031 -1.9971 4.9491 11 6 4.0969 -3.3109 4.2561 12 6 3.8597 -2.9090 2.8155 13 8 3.7874 -3.6800 1.8821 14 6 3.9089 -1.9273 6.3490 15 6 4.3166 -0.6065 7.0105 16 6 5.8442 -0.4989 7.0132 17 6 6.3605 -0.5772 5.5746 18 7 5.9558 -1.8579 4.9780 19 6 6.5266 -2.0161 3.6336 20 6 8.0133 -1.7757 3.6876 21 1 8.5004 -1.6165 4.6383 22 6 8.7517 -1.7591 2.5234 23 7 8.1585 -1.9525 1.3657 24 14 10.5945 -1.4604 2.5902 25 1 11.0145 -1.2721 4.0020 26 1 11.3065 -2.6292 2.0141 27 1 10.9273 -0.2430 1.8077 28 1 -0.3633 0.5139 0.8900 29 1 -0.3634 0.5138 -0.8899 30 1 -0.3633 -1.0276 0.0005 31 1 3.1300 1.4425 -0.0005 32 1 1.6766 1.9563 -0.8900 33 1 1.6767 1.9563 0.8899 34 1 1.6766 -1.7489 -1.2492 35 1 1.6766 -0.2074 -2.1392 36 1 3.1299 -0.7209 -1.2494 37 1 3.9654 0.1415 1.5334 38 1 3.9647 -1.4002 0.6437 39 1 2.8890 -0.6458 4.4161 40 1 4.5192 -0.0586 3.9707 41 1 4.9029 -4.0419 4.3208 42 1 3.1830 -3.7086 4.6971 43 1 2.8221 -1.9817 6.2857 44 1 4.2807 -2.7616 6.9438 45 1 3.8936 0.2275 6.4506 46 1 3.9465 -0.5825 8.0354 47 1 6.1410 0.4522 7.4550 48 1 6.2654 -1.3179 7.5962 49 1 7.4480 -0.5037 5.5744 50 1 5.9407 0.2434 4.9928 51 1 6.3348 -3.0271 3.2741 52 1 6.0666 -1.2963 2.9566 53 1 8.6779 -1.9405 0.5465 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001274030235.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 19:52:54 Heat of formation + Delta-G solvation = -68.910642 kcal Electronic energy + Delta-G solvation = -32190.905533 eV Core-core repulsion = 28255.411136 eV Total energy + Delta-G solvation = -3935.494397 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -41.02939 -39.75701 -37.82687 -35.79105 -35.09518 -33.73792 -32.54200 -31.76414 -28.93527 -27.64101 -27.49646 -27.19468 -26.84044 -25.25111 -23.85418 -22.75319 -21.57877 -20.89929 -19.47467 -18.49642 -17.92766 -16.83906 -16.55937 -16.11760 -15.69266 -15.22109 -15.09582 -14.75595 -14.54283 -14.25181 -13.99457 -13.91539 -13.80393 -13.67473 -13.42387 -13.10613 -12.67968 -12.51320 -12.45090 -12.33502 -12.21841 -12.13557 -11.91463 -11.83388 -11.69418 -11.63782 -11.37923 -11.26140 -11.08515 -11.02792 -10.87083 -10.81617 -10.69998 -10.32142 -10.26650 -9.97842 -9.82890 -9.65880 -9.17139 -9.05074 -8.48864 -8.24019 -7.24053 -6.05786 -4.08204 2.02572 3.14434 3.25855 3.27198 3.35632 3.38850 4.08336 4.37018 4.57659 4.59795 4.68155 4.77275 4.84595 4.92507 5.13112 5.18748 5.27957 5.29965 5.36040 5.42042 5.43134 5.47171 5.50667 5.58775 5.61099 5.68666 5.69395 5.70189 5.72069 5.80546 5.83554 5.91590 5.96431 6.00758 6.05757 6.09158 6.12411 6.21464 6.23951 6.34186 6.39801 6.42836 6.71855 6.75747 6.83075 7.30669 7.39760 7.53185 7.58481 7.73578 8.01762 8.13466 8.50889 8.69960 8.99610 9.56136 11.04310 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.009763 B = 0.004721 C = 0.003716 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2867.160619 B = 5929.233889 C = 7533.303037 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.131 4.131 2 C -0.114 4.114 3 C -0.139 4.139 4 C -0.141 4.141 5 C 0.349 3.651 6 O -0.442 6.442 7 C 0.082 3.918 8 N -0.601 5.601 9 C 0.079 3.921 10 C 0.108 3.892 11 C -0.142 4.142 12 C 0.535 3.465 13 O -0.536 6.536 14 C -0.097 4.097 15 C -0.119 4.119 16 C -0.119 4.119 17 C 0.062 3.938 18 N -0.520 5.520 19 C 0.186 3.814 20 C -0.516 4.516 21 H 0.065 0.935 22 C 0.059 3.941 23 N -0.890 5.890 24 Si 0.894 3.106 25 H -0.272 1.272 26 H -0.284 1.284 27 H -0.285 1.285 28 H 0.058 0.942 29 H 0.060 0.940 30 H 0.059 0.941 31 H 0.067 0.933 32 H 0.067 0.933 33 H 0.058 0.942 34 H 0.060 0.940 35 H 0.066 0.934 36 H 0.068 0.932 37 H 0.108 0.892 38 H 0.118 0.882 39 H 0.065 0.935 40 H 0.078 0.922 41 H 0.113 0.887 42 H 0.099 0.901 43 H 0.063 0.937 44 H 0.075 0.925 45 H 0.056 0.944 46 H 0.059 0.941 47 H 0.057 0.943 48 H 0.067 0.933 49 H 0.091 0.909 50 H 0.023 0.977 51 H 0.029 0.971 52 H 0.007 0.993 53 H 0.260 0.740 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.719 7.580 2.617 15.036 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 -0.188 4.188 2 C -0.116 4.116 3 C -0.197 4.197 4 C -0.198 4.198 5 C 0.222 3.778 6 O -0.313 6.313 7 C -0.042 4.042 8 N -0.333 5.333 9 C -0.046 4.046 10 C 0.016 3.984 11 C -0.182 4.182 12 C 0.324 3.676 13 O -0.413 6.413 14 C -0.136 4.136 15 C -0.157 4.157 16 C -0.157 4.157 17 C -0.065 4.065 18 N -0.244 5.244 19 C 0.061 3.939 20 C -0.555 4.555 21 H 0.083 0.917 22 C -0.143 4.143 23 N -0.529 5.529 24 Si 0.722 3.278 25 H -0.197 1.197 26 H -0.210 1.210 27 H -0.212 1.212 28 H 0.077 0.923 29 H 0.079 0.921 30 H 0.078 0.922 31 H 0.086 0.914 32 H 0.086 0.914 33 H 0.077 0.923 34 H 0.079 0.921 35 H 0.085 0.915 36 H 0.087 0.913 37 H 0.126 0.874 38 H 0.136 0.864 39 H 0.083 0.917 40 H 0.096 0.904 41 H 0.131 0.869 42 H 0.117 0.883 43 H 0.082 0.918 44 H 0.094 0.906 45 H 0.074 0.926 46 H 0.077 0.923 47 H 0.076 0.924 48 H 0.086 0.914 49 H 0.110 0.890 50 H 0.041 0.959 51 H 0.047 0.953 52 H 0.024 0.976 53 H 0.070 0.930 Dipole moment (debyes) X Y Z Total from point charges -12.946 6.557 2.596 14.742 hybrid contribution 0.813 0.952 -0.824 1.499 sum -12.132 7.509 1.772 14.378 Atomic orbital electron populations 1.21694 0.92759 1.02568 1.01826 1.21191 0.97659 0.97165 0.95577 1.21853 1.01859 0.93341 1.02626 1.21855 1.02063 1.00434 0.95454 1.25301 0.91894 0.75300 0.85338 1.90344 1.58812 1.37648 1.44527 1.21697 0.94189 0.99543 0.88763 1.47791 1.71773 1.07149 1.06618 1.22839 1.00520 0.98287 0.82929 1.21302 0.90648 0.92593 0.93833 1.22386 1.03800 0.99300 0.92747 1.20790 0.73961 0.81688 0.91205 1.90666 1.51429 1.55242 1.43920 1.21420 0.99133 0.98665 0.94335 1.21599 0.96839 0.97271 0.99948 1.21665 0.94856 1.01219 0.97998 1.22034 1.02054 0.89946 0.92515 1.61946 1.03955 1.32371 1.26112 1.19873 0.94600 0.96914 0.82470 1.21226 0.92301 1.48980 0.92977 0.91709 1.24965 0.98514 0.95372 0.95425 1.69984 1.35665 1.49624 0.97620 0.86513 0.85528 0.77711 0.78090 1.19683 1.21016 1.21176 0.92297 0.92107 0.92187 0.91442 0.91375 0.92295 0.92054 0.91456 0.91309 0.87392 0.86424 0.91671 0.90390 0.86908 0.88314 0.91805 0.90589 0.92566 0.92269 0.92411 0.91386 0.89032 0.95927 0.95308 0.97560 0.93012 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 -0.13 -1.39 7.76 37.16 0.29 -1.10 16 2 C -0.11 -1.28 0.87 -155.66 -0.14 -1.42 16 3 C -0.14 -1.27 8.25 37.16 0.31 -0.96 16 4 C -0.14 -1.49 8.25 37.16 0.31 -1.18 16 5 C 0.35 5.15 6.04 -29.03 -0.18 4.98 16 6 O -0.44 -7.76 16.05 6.00 0.10 -7.66 16 7 C 0.08 1.32 5.69 -5.20 -0.03 1.29 16 8 N -0.60 -11.13 1.39 -173.99 -0.24 -11.37 16 9 C 0.08 1.30 4.77 -3.39 -0.02 1.28 16 10 C 0.11 1.81 0.71 -131.56 -0.09 1.71 16 11 C -0.14 -2.56 5.45 -27.01 -0.15 -2.71 16 12 C 0.53 11.27 6.39 -10.75 -0.07 11.20 16 13 O -0.54 -13.13 17.60 5.56 0.10 -13.03 16 14 C -0.10 -1.29 4.65 -27.00 -0.13 -1.42 16 15 C -0.12 -1.45 5.82 -26.54 -0.15 -1.60 16 16 C -0.12 -1.65 6.07 -26.64 -0.16 -1.81 16 17 C 0.06 1.10 4.92 -3.77 -0.02 1.09 16 18 N -0.52 -10.28 4.55 -220.36 -1.00 -11.28 16 19 C 0.19 4.58 3.47 -4.97 -0.02 4.56 16 20 C -0.52 -13.85 8.29 -34.44 -0.29 -14.13 16 21 H 0.06 1.71 6.34 -52.49 -0.33 1.38 16 22 C 0.06 1.63 5.46 -17.82 -0.10 1.54 16 23 N -0.89 -25.82 13.29 55.43 0.74 -25.09 16 24 Si 0.89 21.11 29.54 -169.99 -5.02 16.09 16 25 H -0.27 -6.29 7.11 56.52 0.40 -5.88 16 26 H -0.28 -6.77 7.11 56.52 0.40 -6.37 16 27 H -0.29 -6.67 7.11 56.52 0.40 -6.27 16 28 H 0.06 0.64 8.10 -51.93 -0.42 0.22 16 29 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 30 H 0.06 0.70 8.10 -51.93 -0.42 0.28 16 31 H 0.07 0.60 7.29 -51.93 -0.38 0.22 16 32 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 33 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 34 H 0.06 0.71 8.14 -51.93 -0.42 0.29 16 35 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 36 H 0.07 0.74 7.28 -51.93 -0.38 0.36 16 37 H 0.11 1.52 7.38 -51.93 -0.38 1.13 16 38 H 0.12 2.07 7.17 -51.93 -0.37 1.69 16 39 H 0.07 0.97 7.78 -51.93 -0.40 0.57 16 40 H 0.08 1.31 5.79 -51.93 -0.30 1.01 16 41 H 0.11 2.20 7.30 -51.93 -0.38 1.82 16 42 H 0.10 1.50 7.86 -51.93 -0.41 1.10 16 43 H 0.06 0.75 8.04 -51.93 -0.42 0.34 16 44 H 0.08 1.00 8.14 -51.93 -0.42 0.58 16 45 H 0.06 0.67 7.60 -51.93 -0.39 0.27 16 46 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 47 H 0.06 0.70 8.14 -51.93 -0.42 0.28 16 48 H 0.07 0.97 8.14 -51.93 -0.42 0.54 16 49 H 0.09 1.82 5.93 -51.93 -0.31 1.51 16 50 H 0.02 0.40 6.22 -51.93 -0.32 0.08 16 51 H 0.03 0.81 6.14 -51.93 -0.32 0.49 16 52 H 0.01 0.17 6.11 -51.93 -0.32 -0.15 16 53 H 0.26 7.19 8.31 -40.82 -0.34 6.85 16 LS Contribution 398.62 15.07 6.01 6.01 Total: -1.00 -32.88 398.62 -9.15 -42.03 By element: Atomic # 1 Polarization: 12.17 SS G_CDS: -9.20 Total: 2.97 kcal Atomic # 6 Polarization: 1.96 SS G_CDS: -0.62 Total: 1.34 kcal Atomic # 7 Polarization: -47.23 SS G_CDS: -0.51 Total: -47.74 kcal Atomic # 8 Polarization: -20.89 SS G_CDS: 0.19 Total: -20.69 kcal Atomic # 14 Polarization: 21.11 SS G_CDS: -5.02 Total: 16.09 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -32.88 -9.15 -42.03 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. ZINC001274030235.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 -26.881 kcal (2) G-P(sol) polarization free energy of solvation -32.880 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -59.761 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.150 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.030 kcal (6) G-S(sol) free energy of system = (1) + (5) -68.911 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds