Wall clock time and date at job start Tue Mar 31 2020 19:58:01 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 1.42901 * 1 3 3 C 1.36000 * 116.99607 * 2 1 4 4 C 1.38565 * 120.07389 * 0.02757 * 3 2 1 5 5 C 1.38239 * 120.00050 * 179.70226 * 4 3 2 6 6 C 1.38258 * 120.14401 * 0.54464 * 5 4 3 7 7 C 1.50703 * 119.92789 * 179.72366 * 6 5 4 8 8 N 1.46896 * 109.47105 * 269.73091 * 7 6 5 9 9 C 1.46896 * 110.99778 * 180.02562 * 8 7 6 10 10 C 1.53003 * 109.47248 * 179.48035 * 9 8 7 11 11 H 1.08999 * 109.46827 * 185.38144 * 10 9 8 12 12 C 1.53001 * 109.46898 * 65.38657 * 10 9 8 13 13 N 1.46892 * 109.46882 * 305.38454 * 10 9 8 14 14 C 1.46903 * 110.99848 * 176.77231 * 13 10 9 15 15 C 1.46895 * 111.00358 * 300.72126 * 13 10 9 16 16 C 1.38246 * 120.14561 * 359.45168 * 6 5 4 17 17 C 1.38566 * 119.99936 * 0.27573 * 16 6 5 18 18 O 1.35994 * 120.07067 * 179.97438 * 17 16 6 19 19 C 1.42897 * 117.00134 * 359.97438 * 18 17 16 20 20 C 1.52997 * 109.47000 * 179.97438 * 19 18 17 21 21 C 1.50700 * 109.47021 * 180.02562 * 20 19 18 22 22 H 1.07996 * 120.00161 * 0.02562 * 21 20 19 23 23 C 1.37881 * 120.00000 * 180.02562 * 21 20 19 24 24 N 1.31517 * 120.00121 * 179.97438 * 23 21 20 25 25 Si 1.86801 * 119.99979 * 0.02562 * 23 21 20 26 26 H 1.48502 * 109.47419 * 89.99622 * 25 23 21 27 27 H 1.48498 * 109.47361 * 209.99612 * 25 23 21 28 28 H 1.48494 * 109.47087 * 329.99796 * 25 23 21 29 29 H 1.09009 * 109.46564 * 179.97438 * 1 2 3 30 30 H 1.08994 * 109.47139 * 299.99344 * 1 2 3 31 31 H 1.08994 * 109.47268 * 60.00039 * 1 2 3 32 32 H 1.08003 * 119.99684 * 359.97438 * 4 3 2 33 33 H 1.07998 * 119.93230 * 180.29159 * 5 4 3 34 34 H 1.08992 * 109.46833 * 149.72672 * 7 6 5 35 35 H 1.09002 * 109.46532 * 29.73147 * 7 6 5 36 36 H 1.00899 * 111.00086 * 56.04104 * 8 7 6 37 37 H 1.09000 * 109.47550 * 59.47600 * 9 8 7 38 38 H 1.09008 * 109.47100 * 299.47710 * 9 8 7 39 39 H 1.08998 * 109.47335 * 59.99725 * 12 10 9 40 40 H 1.09005 * 109.46593 * 299.99535 * 12 10 9 41 41 H 1.09000 * 109.47211 * 180.02562 * 12 10 9 42 42 H 1.08993 * 109.47238 * 60.00062 * 14 13 10 43 43 H 1.09004 * 109.47320 * 180.02562 * 14 13 10 44 44 H 1.09002 * 109.46954 * 299.99493 * 14 13 10 45 45 H 1.09004 * 109.47171 * 66.71046 * 15 13 10 46 46 H 1.08997 * 109.47666 * 186.71207 * 15 13 10 47 47 H 1.08998 * 109.47568 * 306.71565 * 15 13 10 48 48 H 1.07992 * 119.99846 * 180.25245 * 16 6 5 49 49 H 1.08993 * 109.47214 * 300.00267 * 19 18 17 50 50 H 1.09002 * 109.47273 * 60.00461 * 19 18 17 51 51 H 1.09001 * 109.47787 * 300.00257 * 20 19 18 52 52 H 1.09009 * 109.47232 * 60.00244 * 20 19 18 53 53 H 0.96996 * 119.99733 * 180.02562 * 24 23 21 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 1.4290 0.0000 0.0000 3 6 2.0464 1.2118 0.0000 4 6 1.2931 2.3748 0.0006 5 6 1.9222 3.6058 0.0068 6 6 3.3027 3.6800 0.0011 7 6 3.9834 5.0245 0.0016 8 7 4.2045 5.4620 -1.3832 9 6 4.8683 6.7718 -1.4218 10 6 5.0928 7.1871 -2.8772 11 1 5.6694 8.1117 -2.9063 12 6 3.7409 7.4076 -3.5589 13 7 5.8290 6.1284 -3.5805 14 6 5.9966 6.4588 -5.0020 15 6 7.1279 5.8770 -2.9420 16 6 4.0602 2.5235 0.0006 17 6 3.4359 1.2864 0.0000 18 8 4.1796 0.1478 -0.0010 19 6 5.6003 0.3009 -0.0020 20 6 6.2619 -1.0786 -0.0025 21 6 7.7602 -0.9172 -0.0029 22 1 8.1969 0.0705 -0.0025 23 6 8.5736 -2.0305 -0.0039 24 7 9.8812 -1.8897 -0.0048 25 14 7.8182 -3.7390 -0.0054 26 1 7.6179 -4.1906 -1.4058 27 1 8.7270 -4.6827 0.6938 28 1 6.5092 -3.7021 0.6947 29 1 -0.3633 -1.0278 -0.0005 30 1 -0.3633 0.5137 0.8900 31 1 -0.3633 0.5138 -0.8899 32 1 0.2145 2.3196 0.0006 33 1 1.3340 4.5115 0.0120 34 1 4.9415 4.9464 0.5154 35 1 3.3535 5.7504 0.5158 36 1 3.3378 5.4800 -1.8994 37 1 5.8285 6.7078 -0.9100 38 1 4.2406 7.5120 -0.9254 39 1 3.1945 8.1931 -3.0370 40 1 3.1643 6.4829 -3.5297 41 1 3.9007 7.7030 -4.5958 42 1 6.5521 7.3918 -5.0951 43 1 6.5444 5.6581 -5.4991 44 1 5.0170 6.5711 -5.4668 45 1 6.9693 5.4535 -1.9501 46 1 7.7016 5.1764 -3.5486 47 1 7.6766 6.8145 -2.8531 48 1 5.1384 2.5842 0.0002 49 1 5.9058 0.8511 -0.8920 50 1 5.9072 0.8503 0.8880 51 1 5.9563 -1.6285 0.8877 52 1 5.9550 -1.6285 -0.8923 53 1 10.4533 -2.6729 -0.0058 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 ZINC000264229802.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 19:58:01 Heat of formation + Delta-G solvation = -41.804297 kcal Electronic energy + Delta-G solvation = -29421.910428 eV Core-core repulsion = 25487.591450 eV Total energy + Delta-G solvation = -3934.318977 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) -40.32784 -38.79975 -38.15197 -37.20861 -35.11842 -33.26720 -31.88555 -30.89496 -30.16741 -29.48496 -28.24526 -27.28200 -25.74447 -25.17143 -24.40651 -23.47917 -22.21477 -21.12712 -20.29717 -19.81969 -18.24885 -17.18191 -16.79626 -16.27902 -16.17085 -15.90812 -15.79065 -15.09884 -15.01805 -14.75259 -14.49058 -14.46037 -14.27421 -13.91322 -13.79545 -13.45545 -13.19271 -12.88445 -12.69018 -12.52652 -12.51571 -12.34270 -12.08721 -11.96998 -11.75497 -11.69460 -11.61422 -11.39517 -11.22999 -11.07189 -10.93072 -10.80769 -10.76211 -10.65910 -10.09847 -9.90665 -9.72828 -9.26381 -8.55599 -8.52434 -8.38504 -8.30211 -7.49003 -6.07182 -4.07196 1.45043 1.59913 3.34457 3.41117 3.41648 3.48364 3.71462 3.80895 3.85879 4.34644 4.45722 4.59709 4.70691 4.83554 4.86939 5.02661 5.07472 5.09581 5.14678 5.18375 5.23511 5.26039 5.27392 5.36406 5.41128 5.45563 5.48123 5.51721 5.54653 5.60316 5.61424 5.63916 5.67858 5.78923 5.87191 5.98458 6.03213 6.06308 6.06845 6.33603 6.34646 6.54199 6.72701 6.82811 6.89157 7.00565 7.07816 7.11338 7.33231 7.36759 7.41978 7.70973 8.06652 8.46077 8.94239 9.53763 11.05395 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.007464 B = 0.003288 C = 0.002436 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3750.466642 B = 8513.689027 C =11490.936479 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.028 3.972 2 O -0.305 6.305 3 C 0.089 3.911 4 C -0.175 4.175 5 C -0.125 4.125 6 C -0.078 4.078 7 C 0.103 3.897 8 N -0.662 5.662 9 C 0.065 3.935 10 C 0.082 3.918 11 H 0.040 0.960 12 C -0.151 4.151 13 N -0.521 5.521 14 C 0.020 3.980 15 C 0.027 3.973 16 C -0.151 4.151 17 C 0.118 3.882 18 O -0.309 6.309 19 C 0.072 3.928 20 C -0.008 4.008 21 C -0.523 4.523 22 H 0.075 0.925 23 C 0.072 3.928 24 N -0.899 5.899 25 Si 0.879 3.121 26 H -0.275 1.275 27 H -0.287 1.287 28 H -0.262 1.262 29 H 0.096 0.904 30 H 0.051 0.949 31 H 0.051 0.949 32 H 0.128 0.872 33 H 0.117 0.883 34 H 0.079 0.921 35 H 0.033 0.967 36 H 0.342 0.658 37 H 0.073 0.927 38 H 0.030 0.970 39 H 0.055 0.945 40 H 0.068 0.932 41 H 0.058 0.942 42 H 0.018 0.982 43 H 0.068 0.932 44 H 0.068 0.932 45 H 0.078 0.922 46 H 0.066 0.934 47 H 0.016 0.984 48 H 0.139 0.861 49 H 0.058 0.942 50 H 0.055 0.945 51 H 0.027 0.973 52 H 0.023 0.977 53 H 0.265 0.735 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.558 19.698 -3.970 26.684 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 -0.067 4.067 2 O -0.218 6.218 3 C 0.043 3.957 4 C -0.194 4.194 5 C -0.144 4.144 6 C -0.079 4.079 7 C -0.025 4.025 8 N -0.294 5.294 9 C -0.065 4.065 10 C -0.027 4.027 11 H 0.058 0.942 12 C -0.209 4.209 13 N -0.245 5.245 14 C -0.128 4.128 15 C -0.121 4.121 16 C -0.170 4.170 17 C 0.071 3.929 18 O -0.223 6.223 19 C -0.002 4.002 20 C -0.046 4.046 21 C -0.561 4.561 22 H 0.093 0.907 23 C -0.130 4.130 24 N -0.538 5.538 25 Si 0.706 3.294 26 H -0.201 1.201 27 H -0.213 1.213 28 H -0.187 1.187 29 H 0.115 0.885 30 H 0.069 0.931 31 H 0.070 0.930 32 H 0.146 0.854 33 H 0.135 0.865 34 H 0.097 0.903 35 H 0.051 0.949 36 H 0.161 0.839 37 H 0.091 0.909 38 H 0.048 0.952 39 H 0.075 0.925 40 H 0.087 0.913 41 H 0.077 0.923 42 H 0.036 0.964 43 H 0.086 0.914 44 H 0.087 0.913 45 H 0.096 0.904 46 H 0.085 0.915 47 H 0.035 0.965 48 H 0.157 0.843 49 H 0.076 0.924 50 H 0.073 0.927 51 H 0.045 0.955 52 H 0.042 0.958 53 H 0.075 0.925 Dipole moment (debyes) X Y Z Total from point charges -17.027 18.420 -4.004 25.401 hybrid contribution -0.526 0.750 0.149 0.928 sum -17.553 19.169 -3.855 26.276 Atomic orbital electron populations 1.23000 0.79312 1.03631 1.00753 1.86228 1.20359 1.26111 1.89118 1.18321 0.89416 0.84990 1.02948 1.20880 0.99368 0.91551 1.07585 1.20550 0.93707 0.96609 1.03551 1.19344 0.92844 0.94233 1.01431 1.20814 0.99478 0.92147 0.90082 1.60337 1.29753 1.27302 1.12055 1.22012 0.99410 0.89862 0.95195 1.21686 0.95147 0.92114 0.93713 0.94218 1.21936 0.96457 1.01966 1.00540 1.61892 1.19082 1.41929 1.01576 1.22472 1.01431 0.99226 0.89692 1.22384 0.89136 0.99345 1.01200 1.21030 1.00858 0.90258 1.04870 1.18402 0.88351 0.87002 0.99161 1.86218 1.20873 1.27617 1.87576 1.23064 0.74835 1.01863 1.00406 1.19568 0.95861 0.91265 0.97868 1.20855 0.88011 0.95268 1.51993 0.90720 1.24922 0.94654 0.99238 0.94184 1.69896 1.03046 1.30317 1.50510 0.86773 0.79724 0.84114 0.78782 1.20071 1.21280 1.18679 0.88521 0.93083 0.93048 0.85382 0.86511 0.90300 0.94922 0.83868 0.90868 0.95169 0.92550 0.91301 0.92311 0.96370 0.91359 0.91321 0.90376 0.91476 0.96526 0.84315 0.92422 0.92717 0.95479 0.95848 0.92543 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 0.03 0.29 9.81 101.05 0.99 1.28 16 2 O -0.30 -4.91 10.28 -34.24 -0.35 -5.26 16 3 C 0.09 1.43 6.70 -39.12 -0.26 1.17 16 4 C -0.18 -2.21 9.04 -39.46 -0.36 -2.57 16 5 C -0.13 -1.47 9.69 -39.57 -0.38 -1.86 16 6 C -0.08 -1.01 5.39 -104.61 -0.56 -1.57 16 7 C 0.10 1.10 5.81 -4.98 -0.03 1.07 16 8 N -0.66 -6.91 6.20 -115.06 -0.71 -7.63 16 9 C 0.06 0.58 4.80 -3.82 -0.02 0.56 16 10 C 0.08 0.72 2.42 -67.72 -0.16 0.55 16 11 H 0.04 0.34 8.14 -51.93 -0.42 -0.08 16 12 C -0.15 -1.12 8.63 37.16 0.32 -0.80 16 13 N -0.52 -5.48 4.60 -243.18 -1.12 -6.60 16 14 C 0.02 0.18 9.12 60.07 0.55 0.73 16 15 C 0.03 0.30 9.05 60.06 0.54 0.84 16 16 C -0.15 -2.40 8.69 -39.46 -0.34 -2.75 16 17 C 0.12 2.14 6.70 -39.12 -0.26 1.88 16 18 O -0.31 -6.58 9.92 -34.22 -0.34 -6.92 16 19 C 0.07 1.57 4.68 37.16 0.17 1.74 16 20 C -0.01 -0.21 4.41 -27.88 -0.12 -0.33 16 21 C -0.52 -15.06 9.66 -34.44 -0.33 -15.40 16 22 H 0.07 2.26 7.99 -52.49 -0.42 1.84 16 23 C 0.07 2.11 5.47 -17.82 -0.10 2.02 16 24 N -0.90 -27.70 13.96 55.43 0.77 -26.93 16 25 Si 0.88 22.12 27.47 -169.99 -4.67 17.45 16 26 H -0.28 -6.80 7.11 56.52 0.40 -6.40 16 27 H -0.29 -7.08 7.11 56.52 0.40 -6.68 16 28 H -0.26 -6.45 6.54 56.52 0.37 -6.08 16 29 H 0.10 0.82 8.14 -51.92 -0.42 0.39 16 30 H 0.05 0.44 7.66 -51.93 -0.40 0.04 16 31 H 0.05 0.45 7.66 -51.93 -0.40 0.05 16 32 H 0.13 1.25 6.30 -52.48 -0.33 0.92 16 33 H 0.12 1.06 8.06 -52.49 -0.42 0.64 16 34 H 0.08 0.88 8.08 -51.93 -0.42 0.46 16 35 H 0.03 0.30 8.08 -51.93 -0.42 -0.12 16 36 H 0.34 3.45 7.01 -39.29 -0.28 3.18 16 37 H 0.07 0.69 6.85 -51.93 -0.36 0.33 16 38 H 0.03 0.23 8.14 -51.92 -0.42 -0.19 16 39 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 40 H 0.07 0.57 6.70 -51.93 -0.35 0.22 16 41 H 0.06 0.41 6.35 -51.93 -0.33 0.08 16 42 H 0.02 0.15 8.14 -51.93 -0.42 -0.27 16 43 H 0.07 0.63 8.05 -51.93 -0.42 0.21 16 44 H 0.07 0.57 6.25 -51.93 -0.32 0.24 16 45 H 0.08 0.92 6.80 -51.93 -0.35 0.57 16 46 H 0.07 0.75 8.00 -51.93 -0.42 0.33 16 47 H 0.02 0.16 8.12 -51.93 -0.42 -0.26 16 48 H 0.14 2.25 6.30 -52.49 -0.33 1.92 16 49 H 0.06 1.22 7.66 -51.93 -0.40 0.82 16 50 H 0.05 1.13 7.66 -51.93 -0.40 0.73 16 51 H 0.03 0.69 7.20 -51.93 -0.37 0.32 16 52 H 0.02 0.59 7.57 -51.92 -0.39 0.20 16 53 H 0.26 7.62 8.31 -40.82 -0.34 7.28 16 LS Contribution 416.64 15.07 6.28 6.28 Total: -1.00 -32.70 416.64 -9.72 -42.43 By element: Atomic # 1 Polarization: 9.84 SS G_CDS: -9.22 Total: 0.61 kcal Atomic # 6 Polarization: -13.07 SS G_CDS: -0.36 Total: -13.43 kcal Atomic # 7 Polarization: -40.10 SS G_CDS: -1.06 Total: -41.16 kcal Atomic # 8 Polarization: -11.49 SS G_CDS: -0.69 Total: -12.18 kcal Atomic # 14 Polarization: 22.12 SS G_CDS: -4.67 Total: 17.45 kcal Total LS contribution 6.28 Total: 6.28 kcal Total: -32.70 -9.72 -42.43 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. ZINC000264229802.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 0.621 kcal (2) G-P(sol) polarization free energy of solvation -32.703 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -32.082 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.722 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.426 kcal (6) G-S(sol) free energy of system = (1) + (5) -41.804 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.85 seconds