Wall clock time and date at job start Tue Mar 31 2020 19:25:15 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 1.53006 * 1 3 3 C 1.52994 * 109.47185 * 2 1 4 4 C 1.52995 * 109.47273 * 120.00534 * 2 1 3 5 5 C 1.52999 * 109.47532 * 174.99944 * 4 2 1 6 6 H 1.09002 * 109.29509 * 54.57530 * 5 4 2 7 7 C 1.52901 * 109.14323 * 174.04945 * 5 4 2 8 8 C 1.53351 * 108.68487 * 170.93665 * 7 5 4 9 9 H 1.08996 * 109.67422 * 172.74691 * 8 7 5 10 10 C 1.50698 * 109.67236 * 52.21723 * 8 7 5 11 11 O 1.21285 * 119.99793 * 265.98105 * 10 8 7 12 12 N 1.34772 * 120.00391 * 85.97700 * 10 8 7 13 13 C 1.46505 * 119.99807 * 5.04412 * 12 10 8 14 14 C 1.50701 * 109.47081 * 89.99801 * 13 12 10 15 15 H 1.08000 * 120.00229 * 359.97438 * 14 13 12 16 16 C 1.37878 * 120.00144 * 180.02562 * 14 13 12 17 17 N 1.31514 * 119.99835 * 359.97438 * 16 14 13 18 18 Si 1.86798 * 120.00068 * 180.02562 * 16 14 13 19 19 H 1.48496 * 109.47307 * 359.97438 * 18 16 14 20 20 H 1.48499 * 109.47112 * 119.99682 * 18 16 14 21 21 H 1.48502 * 109.46956 * 239.99363 * 18 16 14 22 22 C 1.46498 * 120.00426 * 185.04113 * 12 10 8 23 23 C 1.52995 * 109.47384 * 94.96043 * 22 12 10 24 24 C 1.53004 * 117.49864 * 243.24433 * 23 22 12 25 25 C 1.53003 * 117.50171 * 174.62132 * 23 22 12 26 26 C 1.53063 * 108.42482 * 292.48269 * 8 7 5 27 27 C 1.50176 * 109.89220 * 48.89909 * 26 8 7 28 28 O 1.21282 * 118.24498 * 162.39523 * 27 26 8 29 29 N 1.33357 * 123.51019 * 342.41833 * 27 26 8 30 30 H 1.09000 * 109.46742 * 300.00466 * 1 2 3 31 31 H 1.09008 * 109.47064 * 59.99406 * 1 2 3 32 32 H 1.08994 * 109.47334 * 179.97438 * 1 2 3 33 33 H 1.09004 * 109.46693 * 240.00052 * 2 1 3 34 34 H 1.09004 * 109.47262 * 60.00401 * 3 2 1 35 35 H 1.09007 * 109.47111 * 180.02562 * 3 2 1 36 36 H 1.09009 * 109.47187 * 299.99931 * 3 2 1 37 37 H 1.09003 * 109.47277 * 54.99311 * 4 2 1 38 38 H 1.09007 * 109.46933 * 294.99788 * 4 2 1 39 39 H 1.09003 * 109.58823 * 51.18377 * 7 5 4 40 40 H 1.08995 * 109.60625 * 290.70470 * 7 5 4 41 41 H 1.08996 * 109.47184 * 209.99299 * 13 12 10 42 42 H 1.08997 * 109.47233 * 330.00084 * 13 12 10 43 43 H 0.97000 * 120.00271 * 180.02562 * 17 16 14 44 44 H 1.09006 * 109.47019 * 214.95973 * 22 12 10 45 45 H 1.09004 * 109.47192 * 334.95768 * 22 12 10 46 46 H 1.09002 * 115.54928 * 28.94960 * 23 22 12 47 47 H 1.08996 * 117.49678 * 359.97438 * 24 23 22 48 48 H 1.08999 * 117.49512 * 145.01523 * 24 23 22 49 49 H 1.09000 * 117.49843 * 214.97813 * 25 23 22 50 50 H 1.08994 * 117.49660 * 359.97438 * 25 23 22 51 51 H 1.08998 * 109.39929 * 169.02899 * 26 8 7 52 52 H 1.09003 * 109.40372 * 288.85514 * 26 8 7 53 53 H 0.96998 * 117.94176 * 182.21915 * 29 27 26 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 1.5301 0.0000 0.0000 3 6 2.0401 1.4424 0.0000 4 6 2.0401 -0.7213 1.2491 5 6 3.5649 -0.8312 1.1879 6 1 3.9921 0.1615 1.0452 7 6 4.0786 -1.4178 2.5031 8 6 5.5710 -1.7352 2.3498 9 1 5.9837 -2.0331 3.3136 10 6 6.2987 -0.5180 1.8400 11 8 6.4872 -0.3783 0.6501 12 7 6.7401 0.4154 2.7063 13 6 6.6112 0.1950 4.1489 14 6 7.8445 -0.5023 4.6627 15 1 8.6440 -0.7564 3.9826 16 6 7.9516 -0.8169 6.0008 17 7 6.9777 -0.5080 6.8289 18 14 9.4805 -1.6807 6.6377 19 1 10.4214 -1.9151 5.5131 20 1 10.1370 -0.8321 7.6643 21 1 9.0981 -2.9822 7.2421 22 6 7.3487 1.6502 2.2054 23 6 6.2859 2.7481 2.1288 24 6 5.9534 3.3143 0.7468 25 6 6.7498 4.1551 1.7466 26 6 5.7212 -2.8826 1.3480 27 6 4.9172 -2.5915 0.1134 28 8 5.1689 -3.2155 -0.8957 29 7 3.9417 -1.6834 0.0672 30 1 -0.3633 0.5139 0.8900 31 1 -0.3633 0.5140 -0.8900 32 1 -0.3634 -1.0276 -0.0005 33 1 1.8933 -0.5139 -0.8900 34 1 1.6768 1.9563 0.8900 35 1 3.1301 1.4424 -0.0005 36 1 1.6767 1.9563 -0.8901 37 1 1.6054 -1.7199 1.2950 38 1 1.7517 -0.1584 2.1369 39 1 3.5320 -2.3323 2.7335 40 1 3.9392 -0.6936 3.3057 41 1 6.4992 1.1542 4.6544 42 1 5.7356 -0.4237 4.3452 43 1 7.0531 -0.7290 7.7704 44 1 8.1456 1.9624 2.8806 45 1 7.7621 1.4747 1.2122 46 1 5.4713 2.6648 2.8483 47 1 6.4921 2.9048 -0.1077 48 1 4.9197 3.6034 0.5569 49 1 6.2402 4.9975 2.2144 50 1 7.8123 4.2987 1.5502 51 1 6.7716 -2.9928 1.0785 52 1 5.3647 -3.8078 1.8009 53 1 3.4522 -1.5842 -0.7643 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 ZINC000357409499.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 19:25:15 Heat of formation + Delta-G solvation = -74.461124 kcal Electronic energy + Delta-G solvation = -31878.841710 eV Core-core repulsion = 27943.106626 eV Total energy + Delta-G solvation = -3935.735084 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.85 seconds Orbital eigenvalues (eV) -40.73323 -38.80507 -37.41062 -37.01225 -35.00265 -34.77448 -32.65059 -32.54292 -30.20890 -28.03618 -27.31425 -26.94830 -26.22465 -23.68548 -22.94913 -22.17924 -22.12167 -20.74381 -20.05783 -19.45784 -17.86643 -16.99153 -16.56484 -16.38641 -15.94151 -15.58495 -15.50041 -14.82823 -14.66571 -14.52881 -14.33456 -14.17302 -13.85771 -13.65776 -13.23451 -13.07344 -13.00276 -12.50292 -12.35685 -12.22638 -12.04980 -12.01401 -11.64963 -11.61183 -11.48577 -11.36540 -11.30080 -11.28008 -10.96203 -10.85741 -10.83240 -10.80279 -10.73302 -10.42262 -10.32993 -10.14246 -9.76426 -9.63299 -9.32637 -8.99668 -8.71349 -8.61420 -7.77330 -6.25583 -4.33156 3.09641 3.17576 3.26589 3.28582 3.33970 3.61859 3.77183 4.10491 4.28306 4.51984 4.64648 4.73398 4.90425 4.96353 5.05376 5.06743 5.07800 5.10225 5.18231 5.25398 5.33544 5.42039 5.47249 5.54024 5.57388 5.62064 5.72830 5.74188 5.79089 5.79542 5.83474 5.87819 6.01526 6.02561 6.06671 6.09113 6.13416 6.20171 6.21405 6.23867 6.28877 6.31022 6.34833 6.54952 6.73268 7.09021 7.11112 7.48061 7.70291 7.71035 7.98455 8.28191 8.61623 8.72876 8.96492 9.35925 10.80754 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.009987 B = 0.004387 C = 0.003760 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2803.103649 B = 6380.693197 C = 7445.835858 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.098 4.098 3 C -0.152 4.152 4 C -0.126 4.126 5 C 0.138 3.862 6 H 0.080 0.920 7 C -0.118 4.118 8 C -0.116 4.116 9 H 0.125 0.875 10 C 0.522 3.478 11 O -0.562 6.562 12 N -0.590 5.590 13 C 0.235 3.765 14 C -0.540 4.540 15 H 0.061 0.939 16 C 0.067 3.933 17 N -0.890 5.890 18 Si 0.894 3.106 19 H -0.272 1.272 20 H -0.283 1.283 21 H -0.282 1.282 22 C 0.147 3.853 23 C -0.157 4.157 24 C -0.177 4.177 25 C -0.180 4.180 26 C -0.116 4.116 27 C 0.542 3.458 28 O -0.574 6.574 29 N -0.705 5.705 30 H 0.055 0.945 31 H 0.053 0.947 32 H 0.053 0.947 33 H 0.067 0.933 34 H 0.055 0.945 35 H 0.062 0.938 36 H 0.052 0.948 37 H 0.070 0.930 38 H 0.079 0.921 39 H 0.080 0.920 40 H 0.091 0.909 41 H 0.036 0.964 42 H 0.041 0.959 43 H 0.265 0.735 44 H 0.079 0.921 45 H 0.076 0.924 46 H 0.104 0.896 47 H 0.093 0.907 48 H 0.086 0.914 49 H 0.090 0.910 50 H 0.092 0.908 51 H 0.101 0.899 52 H 0.101 0.899 53 H 0.391 0.609 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.833 4.010 -7.135 13.577 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 -0.203 4.203 2 C -0.117 4.117 3 C -0.209 4.209 4 C -0.165 4.165 5 C 0.033 3.967 6 H 0.098 0.902 7 C -0.156 4.156 8 C -0.138 4.138 9 H 0.143 0.857 10 C 0.310 3.690 11 O -0.442 6.442 12 N -0.320 5.320 13 C 0.116 3.884 14 C -0.579 4.579 15 H 0.080 0.920 16 C -0.136 4.136 17 N -0.528 5.528 18 Si 0.722 3.278 19 H -0.196 1.196 20 H -0.208 1.208 21 H -0.208 1.208 22 C 0.024 3.976 23 C -0.177 4.177 24 C -0.214 4.214 25 C -0.217 4.217 26 C -0.156 4.156 27 C 0.330 3.670 28 O -0.454 6.454 29 N -0.357 5.357 30 H 0.074 0.926 31 H 0.072 0.928 32 H 0.072 0.928 33 H 0.085 0.915 34 H 0.074 0.926 35 H 0.081 0.919 36 H 0.071 0.929 37 H 0.088 0.912 38 H 0.097 0.903 39 H 0.099 0.901 40 H 0.110 0.890 41 H 0.054 0.946 42 H 0.059 0.941 43 H 0.075 0.925 44 H 0.097 0.903 45 H 0.094 0.906 46 H 0.122 0.878 47 H 0.111 0.889 48 H 0.104 0.896 49 H 0.108 0.892 50 H 0.110 0.890 51 H 0.120 0.880 52 H 0.119 0.881 53 H 0.227 0.773 Dipole moment (debyes) X Y Z Total from point charges -10.515 3.738 -7.823 13.629 hybrid contribution 0.662 -0.215 0.524 0.871 sum -9.854 3.523 -7.300 12.759 Atomic orbital electron populations 1.21829 0.95135 1.01621 1.01720 1.21113 0.95730 0.96625 0.98199 1.21923 1.01794 0.95591 1.01585 1.22068 0.94422 1.01312 0.98658 1.21044 0.94377 0.94762 0.86481 0.90184 1.21861 0.94027 1.02785 0.96889 1.21486 0.96154 0.93962 1.02161 0.85713 1.20229 0.78891 0.84002 0.85922 1.90639 1.58878 1.78434 1.16257 1.48122 1.57997 1.16825 1.09029 1.19479 0.97642 0.97795 0.73523 1.21551 1.03751 1.38935 0.93622 0.92041 1.24919 0.96535 0.95542 0.96631 1.69918 1.31992 1.46662 1.04250 0.86493 0.83000 0.79355 0.78991 1.19628 1.20850 1.20766 1.20841 0.93639 0.82839 1.00320 1.22776 1.02140 0.94401 0.98366 1.22963 1.00449 1.04314 0.93648 1.22893 1.00424 0.94243 1.04183 1.21477 1.02076 0.98796 0.93219 1.19881 0.78944 0.78027 0.90117 1.90686 1.68080 1.50941 1.35677 1.45390 1.36389 1.38491 1.15396 0.92599 0.92827 0.92773 0.91472 0.92578 0.91945 0.92927 0.91178 0.90280 0.90122 0.89006 0.94614 0.94137 0.92538 0.90266 0.90579 0.87834 0.88882 0.89550 0.89166 0.88967 0.88040 0.88090 0.77299 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 -0.15 -1.16 9.19 37.16 0.34 -0.82 16 2 C -0.10 -0.91 2.85 -90.62 -0.26 -1.16 16 3 C -0.15 -1.46 8.95 37.15 0.33 -1.13 16 4 C -0.13 -1.25 4.31 -26.73 -0.12 -1.36 16 5 C 0.14 1.77 2.24 -68.39 -0.15 1.61 16 6 H 0.08 1.17 5.40 -51.93 -0.28 0.89 16 7 C -0.12 -1.58 4.79 -26.60 -0.13 -1.71 16 8 C -0.12 -1.92 2.20 -91.56 -0.20 -2.12 16 9 H 0.12 2.23 6.45 -51.93 -0.33 1.90 16 10 C 0.52 9.88 5.51 -10.99 -0.06 9.82 16 11 O -0.56 -11.79 13.98 5.55 0.08 -11.71 16 12 N -0.59 -11.31 2.46 -175.06 -0.43 -11.74 16 13 C 0.24 5.07 4.81 -5.19 -0.02 5.05 16 14 C -0.54 -13.22 9.10 -34.44 -0.31 -13.53 16 15 H 0.06 1.57 7.81 -52.49 -0.41 1.16 16 16 C 0.07 1.68 5.46 -17.82 -0.10 1.58 16 17 N -0.89 -23.13 13.29 55.43 0.74 -22.39 16 18 Si 0.89 19.82 29.54 -169.99 -5.02 14.80 16 19 H -0.27 -6.07 7.11 56.52 0.40 -5.66 16 20 H -0.28 -6.28 7.11 56.52 0.40 -5.87 16 21 H -0.28 -6.21 7.11 56.52 0.40 -5.81 16 22 C 0.15 2.58 5.78 -4.05 -0.02 2.56 16 23 C -0.16 -2.35 6.01 -90.62 -0.54 -2.90 16 24 C -0.18 -2.34 10.18 -26.73 -0.27 -2.62 16 25 C -0.18 -2.26 10.25 -26.73 -0.27 -2.53 16 26 C -0.12 -1.88 5.23 -28.10 -0.15 -2.03 16 27 C 0.54 9.54 6.38 -11.87 -0.08 9.46 16 28 O -0.57 -12.10 17.78 5.56 0.10 -12.00 16 29 N -0.70 -10.29 4.89 -54.86 -0.27 -10.55 16 30 H 0.05 0.43 8.14 -51.93 -0.42 0.00 16 31 H 0.05 0.40 8.14 -51.92 -0.42 -0.02 16 32 H 0.05 0.41 8.14 -51.93 -0.42 -0.01 16 33 H 0.07 0.65 6.52 -51.93 -0.34 0.32 16 34 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 35 H 0.06 0.71 6.45 -51.93 -0.34 0.37 16 36 H 0.05 0.47 8.14 -51.92 -0.42 0.04 16 37 H 0.07 0.67 8.14 -51.93 -0.42 0.24 16 38 H 0.08 0.73 8.14 -51.93 -0.42 0.31 16 39 H 0.08 0.94 8.10 -51.93 -0.42 0.52 16 40 H 0.09 1.24 7.23 -51.93 -0.38 0.86 16 41 H 0.04 0.82 8.07 -51.93 -0.42 0.40 16 42 H 0.04 0.87 5.39 -51.93 -0.28 0.59 16 43 H 0.26 6.59 8.31 -40.82 -0.34 6.25 16 44 H 0.08 1.42 8.11 -51.93 -0.42 1.00 16 45 H 0.08 1.39 6.95 -51.93 -0.36 1.03 16 46 H 0.10 1.60 8.14 -51.93 -0.42 1.18 16 47 H 0.09 1.32 8.03 -51.93 -0.42 0.90 16 48 H 0.09 1.04 8.14 -51.93 -0.42 0.62 16 49 H 0.09 1.02 8.14 -51.93 -0.42 0.59 16 50 H 0.09 1.11 8.14 -51.93 -0.42 0.68 16 51 H 0.10 1.79 8.10 -51.93 -0.42 1.37 16 52 H 0.10 1.37 8.14 -51.93 -0.42 0.95 16 53 H 0.39 5.36 6.96 -40.82 -0.28 5.08 16 LS Contribution 412.10 15.07 6.21 6.21 Total: -1.00 -29.34 412.10 -9.92 -39.26 By element: Atomic # 1 Polarization: 19.26 SS G_CDS: -9.31 Total: 9.96 kcal Atomic # 6 Polarization: 0.20 SS G_CDS: -2.01 Total: -1.81 kcal Atomic # 7 Polarization: -44.73 SS G_CDS: 0.04 Total: -44.69 kcal Atomic # 8 Polarization: -23.89 SS G_CDS: 0.18 Total: -23.71 kcal Atomic # 14 Polarization: 19.82 SS G_CDS: -5.02 Total: 14.80 kcal Total LS contribution 6.21 Total: 6.21 kcal Total: -29.34 -9.92 -39.26 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. ZINC000357409499.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 -35.205 kcal (2) G-P(sol) polarization free energy of solvation -29.340 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -64.545 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.916 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.256 kcal (6) G-S(sol) free energy of system = (1) + (5) -74.461 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds