Wall clock time and date at job start Sat Apr 11 2020 06:12:26 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 1.42895 * 109.47060 * 2 1 4 4 C 1.42906 * 113.99997 * 179.97438 * 3 2 1 5 5 H 1.08997 * 109.57218 * 29.84613 * 4 3 2 6 6 C 1.53086 * 109.52493 * 269.68263 * 4 3 2 7 7 O 1.42896 * 109.41690 * 182.48317 * 6 4 3 8 8 C 1.42905 * 114.09731 * 61.16016 * 7 6 4 9 9 C 1.53096 * 109.41660 * 298.84331 * 8 7 6 10 10 C 1.53178 * 109.52037 * 149.99632 * 4 3 2 11 11 H 1.09003 * 109.61845 * 56.97772 * 10 4 3 12 12 C 1.52999 * 109.54695 * 296.75239 * 10 4 3 13 13 C 1.50704 * 109.47530 * 175.44395 * 12 10 4 14 14 O 1.21282 * 119.99336 * 0.02562 * 13 12 10 15 15 N 1.34771 * 120.00071 * 180.02562 * 13 12 10 16 16 C 1.46505 * 119.99854 * 180.02562 * 15 13 12 17 17 C 1.52997 * 109.47208 * 174.81439 * 16 15 13 18 18 N 1.46502 * 112.84783 * 311.21423 * 17 16 15 19 19 C 1.36933 * 120.00039 * 293.75379 * 18 17 16 20 20 H 1.08004 * 120.00283 * 354.13743 * 19 18 17 21 21 C 1.38812 * 120.00145 * 173.87032 * 19 18 17 22 22 N 1.31619 * 120.00351 * 179.97438 * 21 19 18 23 23 Si 1.86795 * 120.00011 * 359.97438 * 21 19 18 24 24 H 1.48499 * 109.47399 * 90.00276 * 23 21 19 25 25 H 1.48499 * 109.47406 * 210.00408 * 23 21 19 26 26 H 1.48506 * 109.47369 * 330.00440 * 23 21 19 27 27 C 1.53779 * 113.69017 * 82.48007 * 17 16 15 28 28 C 1.53781 * 87.07790 * 139.99161 * 27 17 16 29 29 C 1.53776 * 113.61368 * 180.02562 * 17 16 15 30 30 H 1.09004 * 109.47427 * 180.02562 * 1 2 3 31 31 H 1.08997 * 109.47573 * 300.00004 * 1 2 3 32 32 H 1.09001 * 109.46927 * 60.00327 * 1 2 3 33 33 H 1.08996 * 109.47423 * 239.99467 * 2 1 3 34 34 H 1.09001 * 109.46927 * 119.99673 * 2 1 3 35 35 H 1.09000 * 109.47951 * 62.50709 * 6 4 3 36 36 H 1.09004 * 109.48909 * 302.47452 * 6 4 3 37 37 H 1.09002 * 109.48379 * 178.86287 * 8 7 6 38 38 H 1.08996 * 109.47956 * 58.82255 * 8 7 6 39 39 H 1.09007 * 109.51880 * 297.70066 * 9 8 7 40 40 H 1.08997 * 109.57663 * 177.54752 * 9 8 7 41 41 H 1.09003 * 109.46711 * 55.44615 * 12 10 4 42 42 H 1.08994 * 109.47341 * 295.44958 * 12 10 4 43 43 H 0.96998 * 120.00170 * 0.02562 * 15 13 12 44 44 H 1.09002 * 109.47054 * 54.81090 * 16 15 13 45 45 H 1.09002 * 109.47119 * 294.81741 * 16 15 13 46 46 H 0.96998 * 120.00035 * 113.75023 * 18 17 16 47 47 H 0.96992 * 120.00347 * 179.97438 * 22 21 19 48 48 H 1.08997 * 113.61464 * 254.54192 * 27 17 16 49 49 H 1.08995 * 113.61640 * 25.44771 * 27 17 16 50 50 H 1.08998 * 113.61622 * 220.01481 * 28 27 17 51 51 H 1.09004 * 113.61123 * 89.11655 * 28 27 17 52 52 H 1.09001 * 113.61404 * 334.47810 * 29 17 16 53 53 H 1.08997 * 113.61594 * 105.38477 * 29 17 16 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 2.0062 1.3472 0.0000 4 6 3.4308 1.4601 0.0006 5 1 3.8654 0.6008 -0.5102 6 6 3.9396 1.5087 1.4436 7 8 5.3583 1.6796 1.4416 8 6 5.7994 2.8892 0.8215 9 6 5.3653 2.8962 -0.6466 10 6 3.8426 2.7468 -0.7214 11 1 3.3682 3.6032 -0.2422 12 6 3.4070 2.6737 -2.1862 13 6 3.7121 3.9830 -2.8671 14 8 4.2278 4.8856 -2.2423 15 7 3.4120 4.1510 -4.1702 16 6 3.7092 5.4237 -4.8322 17 6 3.3931 5.3083 -6.3247 18 7 3.9687 4.1083 -6.9370 19 6 5.3279 3.9749 -7.0359 20 1 5.9731 4.7926 -6.7501 21 6 5.8769 2.7867 -7.4981 22 7 7.1834 2.6586 -7.5937 23 14 4.7616 1.3695 -7.9846 24 1 4.4180 1.4818 -9.4250 25 1 5.4617 0.0826 -7.7417 26 1 3.5182 1.4172 -7.1740 27 6 1.9069 5.5182 -6.6595 28 6 2.3773 6.3081 -7.8922 29 6 3.6725 6.5975 -7.1150 30 1 -0.3634 -1.0277 0.0005 31 1 -0.3634 0.5138 0.8899 32 1 -0.3633 0.5138 -0.8900 33 1 1.8933 -0.5139 -0.8899 34 1 1.8932 -0.5138 0.8900 35 1 3.6866 0.5771 1.9498 36 1 3.4735 2.3444 1.9656 37 1 6.8860 2.9523 0.8795 38 1 5.3576 3.7430 1.3352 39 1 5.8390 2.0659 -1.1704 40 1 5.6623 3.8366 -1.1108 41 1 2.3358 2.4786 -2.2373 42 1 3.9469 1.8696 -2.6862 43 1 2.9993 3.4292 -4.6698 44 1 4.7646 5.6633 -4.7018 45 1 3.1003 6.2132 -4.3918 46 1 3.3870 3.4082 -7.2723 47 1 7.5670 1.8283 -7.9163 48 1 1.3805 4.5963 -6.9064 49 1 1.3762 6.1268 -5.9274 50 1 1.7812 7.1980 -8.0942 51 1 2.5279 5.6886 -8.7764 52 1 3.6244 7.5012 -6.5075 53 1 4.5712 6.5467 -7.7297 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 ZINC001273122130.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 06:12:26 Heat of formation + Delta-G solvation = -106.088912 kcal Electronic energy + Delta-G solvation = -31425.107744 eV Core-core repulsion = 27297.545124 eV Total energy + Delta-G solvation = -4127.562619 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.80 seconds Orbital eigenvalues (eV) -40.27764 -39.37146 -38.42431 -37.59978 -34.43051 -33.82942 -33.26728 -31.71653 -30.63257 -30.00468 -29.08547 -27.05309 -25.36083 -24.10452 -23.62069 -23.19062 -22.76830 -21.57755 -20.31231 -19.80255 -18.29750 -17.70421 -17.34275 -16.85076 -16.41136 -16.08402 -15.62432 -15.41041 -15.30056 -14.89596 -14.81040 -14.37103 -14.30977 -14.13270 -13.58022 -13.42690 -13.18717 -12.79432 -12.74979 -12.69487 -12.60831 -12.45250 -12.33458 -11.92893 -11.74759 -11.63239 -11.48437 -11.28824 -11.17353 -10.98306 -10.94099 -10.73580 -10.50753 -10.47384 -10.32122 -10.19267 -10.11333 -9.72838 -9.54674 -9.51484 -9.17163 -8.93122 -8.44520 -7.39647 -5.84423 -3.22525 3.08187 3.25572 3.28825 3.29662 3.37227 3.65852 3.89089 4.49155 4.56656 4.57759 4.72247 4.82225 4.90686 4.96369 4.98357 5.03897 5.06031 5.11185 5.13979 5.23963 5.27616 5.33555 5.39402 5.41366 5.45747 5.49974 5.53937 5.62524 5.65617 5.65772 5.81482 5.85845 5.87171 5.97220 5.99052 6.03107 6.09316 6.19767 6.23154 6.26053 6.33157 6.48420 6.64430 6.77404 6.86704 6.87028 7.04976 7.17412 7.92350 8.03643 8.34074 8.70510 9.10678 9.82090 10.00338 11.33497 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010250 B = 0.003164 C = 0.003097 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2730.935649 B = 8846.760241 C = 9039.207853 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 0.054 3.946 3 O -0.376 6.376 4 C 0.061 3.939 5 H 0.070 0.930 6 C 0.044 3.956 7 O -0.381 6.381 8 C 0.059 3.941 9 C -0.156 4.156 10 C -0.064 4.064 11 H 0.087 0.913 12 C -0.135 4.135 13 C 0.513 3.487 14 O -0.554 6.554 15 N -0.703 5.703 16 C 0.124 3.876 17 C 0.178 3.822 18 N -0.724 5.724 19 C -0.239 4.239 20 H 0.091 0.909 21 C 0.010 3.990 22 N -0.929 5.929 23 Si 0.880 3.120 24 H -0.285 1.285 25 H -0.292 1.292 26 H -0.278 1.278 27 C -0.146 4.146 28 C -0.131 4.131 29 C -0.148 4.148 30 H 0.069 0.931 31 H 0.062 0.938 32 H 0.064 0.936 33 H 0.050 0.950 34 H 0.047 0.953 35 H 0.090 0.910 36 H 0.058 0.942 37 H 0.097 0.903 38 H 0.053 0.947 39 H 0.069 0.931 40 H 0.105 0.895 41 H 0.096 0.904 42 H 0.090 0.910 43 H 0.399 0.601 44 H 0.068 0.932 45 H 0.054 0.946 46 H 0.362 0.638 47 H 0.260 0.740 48 H 0.062 0.938 49 H 0.081 0.919 50 H 0.056 0.944 51 H 0.079 0.921 52 H 0.071 0.929 53 H 0.079 0.921 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.959 -2.104 14.034 19.218 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 -0.208 4.208 2 C -0.023 4.023 3 O -0.295 6.295 4 C 0.002 3.998 5 H 0.089 0.911 6 C -0.033 4.033 7 O -0.300 6.300 8 C -0.017 4.017 9 C -0.193 4.193 10 C -0.083 4.083 11 H 0.105 0.895 12 C -0.175 4.175 13 C 0.299 3.701 14 O -0.433 6.433 15 N -0.352 5.352 16 C -0.003 4.003 17 C 0.086 3.914 18 N -0.367 5.367 19 C -0.368 4.368 20 H 0.109 0.891 21 C -0.186 4.186 22 N -0.576 5.576 23 Si 0.710 3.290 24 H -0.212 1.212 25 H -0.218 1.218 26 H -0.204 1.204 27 C -0.184 4.184 28 C -0.168 4.168 29 C -0.188 4.188 30 H 0.088 0.912 31 H 0.081 0.919 32 H 0.083 0.917 33 H 0.069 0.931 34 H 0.065 0.935 35 H 0.108 0.892 36 H 0.076 0.924 37 H 0.115 0.885 38 H 0.071 0.929 39 H 0.088 0.912 40 H 0.123 0.877 41 H 0.114 0.886 42 H 0.109 0.891 43 H 0.233 0.767 44 H 0.087 0.913 45 H 0.072 0.928 46 H 0.196 0.804 47 H 0.070 0.930 48 H 0.080 0.920 49 H 0.099 0.901 50 H 0.075 0.925 51 H 0.098 0.902 52 H 0.090 0.910 53 H 0.097 0.903 Dipole moment (debyes) X Y Z Total from point charges -12.318 -1.423 14.544 19.113 hybrid contribution -0.848 -1.628 -0.947 2.065 sum -13.166 -3.051 13.597 19.171 Atomic orbital electron populations 1.21741 0.93707 1.02203 1.03181 1.22542 0.95607 0.83937 1.00175 1.87928 1.20315 1.26300 1.94994 1.22835 0.81383 0.99104 0.96444 0.91148 1.22966 0.82038 1.02243 0.96048 1.87930 1.20790 1.41891 1.79347 1.22677 1.00178 0.86428 0.92405 1.22430 0.94321 1.05217 0.97342 1.20978 0.96331 0.96778 0.94196 0.89509 1.21652 1.03654 0.96558 0.95684 1.20456 0.78143 0.89335 0.82164 1.90606 1.43991 1.43812 1.64931 1.45726 1.62191 1.17363 1.09939 1.21733 1.01122 0.84382 0.93023 1.20779 0.91811 0.89034 0.89820 1.42395 1.04615 1.18304 1.71351 1.18921 0.80882 0.99677 1.37341 0.89117 1.24655 0.95238 0.97233 1.01522 1.69687 1.09036 1.26623 1.52269 0.86647 0.80232 0.83540 0.78576 1.21151 1.21825 1.20393 1.23236 0.96342 1.00274 0.98536 1.22658 0.97505 0.99401 0.97237 1.23268 0.98666 0.97486 0.99343 0.91178 0.91913 0.91728 0.93146 0.93479 0.89164 0.92357 0.88536 0.92900 0.91230 0.87712 0.88592 0.89118 0.76699 0.91334 0.92786 0.80405 0.93010 0.91961 0.90088 0.92494 0.90202 0.91018 0.90272 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 -1.12 10.28 37.15 0.38 -0.73 16 2 C 0.05 0.47 6.47 37.15 0.24 0.71 16 3 O -0.38 -4.19 9.39 -35.23 -0.33 -4.52 16 4 C 0.06 0.69 2.21 -26.60 -0.06 0.63 16 5 H 0.07 0.79 7.79 -51.93 -0.40 0.39 16 6 C 0.04 0.48 6.47 37.20 0.24 0.72 16 7 O -0.38 -4.79 10.77 -35.23 -0.38 -5.17 16 8 C 0.06 0.71 6.84 37.21 0.25 0.96 16 9 C -0.16 -2.10 5.12 -26.59 -0.14 -2.24 16 10 C -0.06 -0.83 1.64 -90.44 -0.15 -0.98 16 11 H 0.09 1.22 7.96 -51.93 -0.41 0.81 16 12 C -0.14 -1.84 5.12 -27.88 -0.14 -1.98 16 13 C 0.51 8.63 7.57 -10.99 -0.08 8.54 16 14 O -0.55 -10.73 13.97 5.56 0.08 -10.66 16 15 N -0.70 -11.85 5.38 -60.29 -0.32 -12.17 16 16 C 0.12 2.18 5.03 -4.04 -0.02 2.16 16 17 C 0.18 3.09 0.90 -131.01 -0.12 2.97 16 18 N -0.72 -15.24 4.38 -46.48 -0.20 -15.44 16 19 C -0.24 -6.20 9.73 -15.06 -0.15 -6.35 16 20 H 0.09 2.62 8.06 -52.48 -0.42 2.20 16 21 C 0.01 0.27 5.50 -17.43 -0.10 0.17 16 22 N -0.93 -28.13 13.97 55.49 0.78 -27.35 16 23 Si 0.88 20.74 27.68 -169.99 -4.70 16.04 16 24 H -0.28 -6.77 7.11 56.52 0.40 -6.37 16 25 H -0.29 -7.13 7.11 56.52 0.40 -6.72 16 26 H -0.28 -5.97 6.61 56.52 0.37 -5.59 16 27 C -0.15 -2.06 7.37 -25.92 -0.19 -2.26 16 28 C -0.13 -1.89 7.99 -25.91 -0.21 -2.09 16 29 C -0.15 -2.43 7.28 -25.92 -0.19 -2.61 16 30 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 31 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 32 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 33 H 0.05 0.42 8.09 -51.93 -0.42 0.00 16 34 H 0.05 0.36 7.96 -51.93 -0.41 -0.06 16 35 H 0.09 0.83 7.96 -51.93 -0.41 0.42 16 36 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 37 H 0.10 1.03 8.14 -51.93 -0.42 0.61 16 38 H 0.05 0.60 8.14 -51.93 -0.42 0.17 16 39 H 0.07 0.96 8.14 -51.93 -0.42 0.54 16 40 H 0.10 1.65 6.03 -51.93 -0.31 1.34 16 41 H 0.10 1.18 7.66 -51.93 -0.40 0.78 16 42 H 0.09 1.21 8.14 -51.93 -0.42 0.79 16 43 H 0.40 6.41 8.13 -40.82 -0.33 6.08 16 44 H 0.07 1.42 8.13 -51.93 -0.42 1.00 16 45 H 0.05 0.88 7.95 -51.93 -0.41 0.47 16 46 H 0.36 7.50 5.81 -40.82 -0.24 7.27 16 47 H 0.26 7.55 8.31 -40.82 -0.34 7.21 16 48 H 0.06 0.86 8.09 -51.93 -0.42 0.44 16 49 H 0.08 1.02 7.97 -51.93 -0.41 0.60 16 50 H 0.06 0.71 8.14 -51.93 -0.42 0.28 16 51 H 0.08 1.25 8.14 -51.93 -0.42 0.82 16 52 H 0.07 1.04 8.10 -51.93 -0.42 0.62 16 53 H 0.08 1.50 7.83 -51.93 -0.41 1.10 16 LS Contribution 415.13 15.07 6.26 6.26 Total: -1.00 -31.00 415.13 -8.91 -39.91 By element: Atomic # 1 Polarization: 25.14 SS G_CDS: -9.65 Total: 15.49 kcal Atomic # 6 Polarization: -1.96 SS G_CDS: -0.42 Total: -2.38 kcal Atomic # 7 Polarization: -55.21 SS G_CDS: 0.25 Total: -54.96 kcal Atomic # 8 Polarization: -19.72 SS G_CDS: -0.63 Total: -20.35 kcal Atomic # 14 Polarization: 20.74 SS G_CDS: -4.70 Total: 16.04 kcal Total LS contribution 6.26 Total: 6.26 kcal Total: -31.00 -8.91 -39.91 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. ZINC001273122130.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 -66.184 kcal (2) G-P(sol) polarization free energy of solvation -30.998 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -97.182 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.907 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.905 kcal (6) G-S(sol) free energy of system = (1) + (5) -106.089 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.80 seconds