Wall clock time and date at job start Sat Apr 11 2020 06:09:26 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 O 1.42898 * 1 3 3 C 1.42903 * 113.99745 * 2 1 4 4 H 1.09005 * 109.47389 * 20.44188 * 3 2 1 5 5 C 1.52995 * 109.47356 * 260.44218 * 3 2 1 6 6 N 1.46505 * 109.47174 * 63.97060 * 5 3 2 7 7 C 1.34770 * 119.99990 * 185.67292 * 6 5 3 8 8 O 1.21354 * 120.00406 * 0.02562 * 7 6 5 9 9 C 1.49459 * 119.99982 * 180.02562 * 7 6 5 10 10 O 1.21352 * 119.99680 * 6.44411 * 9 7 6 11 11 N 1.34775 * 120.00339 * 186.44720 * 9 7 6 12 12 C 1.46926 * 120.62555 * 5.68694 * 11 9 7 13 13 C 1.52762 * 109.00740 * 233.58364 * 12 11 9 14 14 C 1.53044 * 109.38353 * 305.58822 * 13 12 11 15 15 C 1.50697 * 109.44907 * 181.25327 * 14 13 12 16 16 H 1.08005 * 119.99835 * 239.94057 * 15 14 13 17 17 C 1.37868 * 120.00122 * 59.94063 * 15 14 13 18 18 N 1.31516 * 120.00047 * 0.02562 * 17 15 14 19 19 Si 1.86805 * 120.00370 * 179.97438 * 17 15 14 20 20 H 1.48501 * 109.46782 * 89.99741 * 19 17 15 21 21 H 1.48498 * 109.47446 * 210.00039 * 19 17 15 22 22 H 1.48502 * 109.46832 * 330.00347 * 19 17 15 23 23 C 1.53046 * 109.53582 * 61.24051 * 14 13 12 24 24 C 1.46914 * 120.63293 * 185.96608 * 11 9 7 25 25 C 1.53005 * 109.47238 * 140.43968 * 3 2 1 26 26 C 1.52998 * 109.47290 * 295.00346 * 25 3 2 27 27 C 1.53001 * 109.46954 * 174.99740 * 26 25 3 28 28 C 1.53001 * 109.46856 * 294.99861 * 26 25 3 29 29 H 1.09001 * 109.47343 * 64.99433 * 1 2 3 30 30 H 1.09006 * 109.46840 * 304.99597 * 1 2 3 31 31 H 1.09001 * 109.47042 * 185.00018 * 1 2 3 32 32 H 1.09001 * 109.47757 * 183.97282 * 5 3 2 33 33 H 1.09007 * 109.47130 * 303.97568 * 5 3 2 34 34 H 0.97004 * 119.99455 * 5.67797 * 6 5 3 35 35 H 1.09000 * 109.59038 * 353.42203 * 12 11 9 36 36 H 1.09002 * 109.58953 * 113.84710 * 12 11 9 37 37 H 1.09003 * 109.56580 * 185.55726 * 13 12 11 38 38 H 1.08997 * 109.36093 * 65.49812 * 13 12 11 39 39 H 1.08995 * 109.46052 * 301.22457 * 14 13 12 40 40 H 0.96998 * 120.00084 * 179.97438 * 18 17 15 41 41 H 1.09000 * 109.49814 * 178.68326 * 23 14 13 42 42 H 1.08997 * 109.52049 * 58.59922 * 23 14 13 43 43 H 1.09001 * 109.58913 * 246.15460 * 24 11 9 44 44 H 1.08999 * 109.58727 * 6.43788 * 24 11 9 45 45 H 1.09007 * 109.46536 * 55.00365 * 25 3 2 46 46 H 1.09001 * 109.47134 * 174.99542 * 25 3 2 47 47 H 1.09000 * 109.47333 * 54.99489 * 26 25 3 48 48 H 1.09000 * 109.47305 * 59.99733 * 27 26 25 49 49 H 1.09001 * 109.46482 * 180.02562 * 27 26 25 50 50 H 1.09003 * 109.47335 * 299.99629 * 27 26 25 51 51 H 1.08994 * 109.47166 * 59.99605 * 28 26 25 52 52 H 1.08999 * 109.47122 * 180.02562 * 28 26 25 53 53 H 1.09000 * 109.46846 * 299.99926 * 28 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 8 1.4290 0.0000 0.0000 3 6 2.0102 1.3055 0.0000 4 1 1.2782 2.0291 0.3589 5 6 2.4364 1.6741 -1.4224 6 7 1.2526 1.7538 -2.2818 7 6 1.3942 1.9529 -3.6072 8 8 2.5023 2.0657 -4.0889 9 6 0.1864 2.0348 -4.4838 10 8 -0.9222 2.0395 -3.9903 11 7 0.3286 2.1033 -5.8223 12 6 1.6546 1.9737 -6.4417 13 6 1.8979 3.1757 -7.3525 14 6 0.7456 3.2968 -8.3525 15 6 0.9994 4.4638 -9.2715 16 1 0.2955 5.2819 -9.3126 17 6 2.1302 4.4872 -10.0599 18 7 2.9872 3.4908 -10.0103 19 14 2.4446 5.9334 -11.1998 20 1 3.2268 6.9702 -10.4797 21 1 3.2089 5.4716 -12.3862 22 1 1.1477 6.5082 -11.6393 23 6 -0.5666 3.5189 -7.5968 24 6 -0.8385 2.3151 -6.6891 25 6 3.2336 1.3192 0.9187 26 6 2.7902 1.0735 2.3623 27 6 4.0224 0.9629 3.2625 28 6 1.9175 2.2387 2.8330 29 1 -0.3634 0.4344 -0.9313 30 1 -0.3633 0.5894 0.8419 31 1 -0.3633 -1.0238 0.0896 32 1 2.9430 2.6391 -1.4115 33 1 3.1143 0.9122 -1.8075 34 1 0.3668 1.6632 -1.8968 35 1 2.4193 1.9443 -5.6656 36 1 1.6944 1.0579 -7.0316 37 1 2.8353 3.0409 -7.8922 38 1 1.9522 4.0815 -6.7486 39 1 0.6762 2.3809 -8.9392 40 1 3.7826 3.5071 -10.5652 41 1 -1.3833 3.6284 -8.3103 42 1 -0.4895 4.4215 -6.9906 43 1 -1.0061 1.4278 -7.2996 44 1 -1.7187 2.5085 -6.0761 45 1 3.9263 0.5350 0.6129 46 1 3.7285 2.2880 0.8504 47 1 2.2181 0.1471 2.4140 48 1 4.5945 1.8893 3.2107 49 1 3.7064 0.7874 4.2908 50 1 4.6441 0.1327 2.9271 51 1 1.0398 2.3175 2.1916 52 1 1.6019 2.0639 3.8616 53 1 2.4896 3.1651 2.7813 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 ZINC001118052566.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 06:09:26 Heat of formation + Delta-G solvation = -118.483921 kcal Electronic energy + Delta-G solvation = -30721.973787 eV Core-core repulsion = 26593.873680 eV Total energy + Delta-G solvation = -4128.100107 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.75 seconds Orbital eigenvalues (eV) -40.75608 -39.41225 -38.27638 -37.01285 -36.20678 -34.88508 -33.40978 -31.23590 -31.19138 -30.04492 -27.60809 -27.30080 -26.68411 -26.20174 -24.17181 -22.50751 -22.20993 -21.81291 -20.50515 -20.08981 -18.88824 -17.46848 -17.31211 -16.84915 -16.35577 -15.93092 -15.87813 -15.49515 -15.26127 -14.90435 -14.52259 -14.39115 -14.32055 -14.21811 -13.76322 -13.59250 -13.17898 -12.97963 -12.90812 -12.77277 -12.71703 -12.61736 -12.27580 -12.18175 -11.94260 -11.72302 -11.63683 -11.39951 -11.17864 -10.98321 -10.93290 -10.85781 -10.84778 -10.57845 -10.33846 -10.07025 -9.97707 -9.67614 -9.35343 -9.20600 -9.15628 -8.50288 -8.29557 -8.08093 -5.98670 -4.05189 1.60587 2.48592 3.30716 3.34539 3.37575 3.40402 3.42450 3.71627 4.19956 4.41050 4.43741 4.52898 4.53478 4.66166 4.75620 4.91018 5.02688 5.07684 5.23223 5.25196 5.30749 5.31222 5.33919 5.41205 5.47019 5.51709 5.57418 5.63273 5.66523 5.79263 5.84460 5.89752 5.91644 6.02298 6.05656 6.11431 6.26335 6.48328 6.63369 6.73987 6.79363 6.82183 6.98121 7.09594 7.19595 7.33625 7.68394 7.80557 7.91202 7.98590 8.10604 8.24761 8.44315 8.97948 9.59493 11.06756 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020120 B = 0.002159 C = 0.002032 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1391.297046 B =12967.746954 C =13774.915611 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.025 3.975 2 O -0.376 6.376 3 C 0.075 3.925 4 H 0.073 0.927 5 C 0.096 3.904 6 N -0.705 5.705 7 C 0.510 3.490 8 O -0.497 6.497 9 C 0.500 3.500 10 O -0.548 6.548 11 N -0.558 5.558 12 C 0.043 3.957 13 C -0.117 4.117 14 C 0.045 3.955 15 C -0.512 4.512 16 H 0.054 0.946 17 C 0.061 3.939 18 N -0.890 5.890 19 Si 0.891 3.109 20 H -0.281 1.281 21 H -0.287 1.287 22 H -0.275 1.275 23 C -0.122 4.122 24 C 0.107 3.893 25 C -0.113 4.113 26 C -0.096 4.096 27 C -0.147 4.147 28 C -0.152 4.152 29 H 0.043 0.957 30 H 0.045 0.955 31 H 0.089 0.911 32 H 0.081 0.919 33 H 0.085 0.915 34 H 0.407 0.593 35 H 0.142 0.858 36 H 0.057 0.943 37 H 0.105 0.895 38 H 0.036 0.964 39 H 0.027 0.973 40 H 0.260 0.740 41 H 0.063 0.937 42 H 0.052 0.948 43 H 0.067 0.933 44 H 0.080 0.920 45 H 0.077 0.923 46 H 0.080 0.920 47 H 0.077 0.923 48 H 0.054 0.946 49 H 0.053 0.947 50 H 0.055 0.945 51 H 0.053 0.947 52 H 0.054 0.946 53 H 0.056 0.944 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.601 -6.479 25.076 25.949 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 -0.071 4.071 2 O -0.294 6.294 3 C 0.017 3.983 4 H 0.091 0.909 5 C -0.027 4.027 6 N -0.360 5.360 7 C 0.292 3.708 8 O -0.373 6.373 9 C 0.282 3.718 10 O -0.428 6.428 11 N -0.289 5.289 12 C -0.077 4.077 13 C -0.156 4.156 14 C 0.027 3.973 15 C -0.551 4.551 16 H 0.072 0.928 17 C -0.140 4.140 18 N -0.529 5.529 19 Si 0.719 3.281 20 H -0.207 1.207 21 H -0.213 1.213 22 H -0.200 1.200 23 C -0.161 4.161 24 C -0.015 4.015 25 C -0.151 4.151 26 C -0.114 4.114 27 C -0.204 4.204 28 C -0.209 4.209 29 H 0.061 0.939 30 H 0.063 0.937 31 H 0.107 0.893 32 H 0.099 0.901 33 H 0.103 0.897 34 H 0.245 0.755 35 H 0.158 0.842 36 H 0.075 0.925 37 H 0.123 0.877 38 H 0.055 0.945 39 H 0.045 0.955 40 H 0.070 0.930 41 H 0.081 0.919 42 H 0.071 0.929 43 H 0.085 0.915 44 H 0.098 0.902 45 H 0.096 0.904 46 H 0.098 0.902 47 H 0.096 0.904 48 H 0.073 0.927 49 H 0.073 0.927 50 H 0.075 0.925 51 H 0.072 0.928 52 H 0.073 0.927 53 H 0.075 0.925 Dipole moment (debyes) X Y Z Total from point charges -1.089 -6.623 24.862 25.752 hybrid contribution -0.407 1.012 -0.704 1.298 sum -1.496 -5.611 24.159 24.847 Atomic orbital electron populations 1.22952 0.80947 1.03263 0.99961 1.87963 1.19610 1.26962 1.94885 1.22522 0.96652 0.85646 0.93506 0.90872 1.22077 0.88224 1.02948 0.89488 1.45891 1.10836 1.72356 1.06899 1.20452 0.89986 0.77190 0.83150 1.90393 1.27236 1.48192 1.71501 1.19830 0.88659 0.79591 0.83765 1.90680 1.26112 1.51721 1.74321 1.48243 1.11210 1.65358 1.04089 1.23441 0.83269 1.00477 1.00546 1.21854 1.04145 0.93749 0.95823 1.18698 0.88832 0.97387 0.92428 1.21181 1.06580 1.05245 1.22059 0.92756 1.24967 0.96157 0.95963 0.96932 1.69847 1.11978 1.30930 1.40109 0.86617 0.78230 0.82824 0.80449 1.20747 1.21262 1.20011 1.22018 1.01122 0.95460 0.97456 1.21895 0.87379 0.99706 0.92525 1.21750 0.96280 1.03257 0.93819 1.21069 0.96949 0.99456 0.93946 1.21830 0.97505 1.01848 0.99249 1.21940 0.99639 0.98303 1.01039 0.93886 0.93684 0.89262 0.90061 0.89656 0.75537 0.84204 0.92500 0.87721 0.94504 0.95478 0.92972 0.91857 0.92915 0.91521 0.90200 0.90385 0.90159 0.90432 0.92675 0.92744 0.92548 0.92845 0.92652 0.92525 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 0.19 10.60 101.05 1.07 1.26 16 2 O -0.38 -3.41 9.74 -35.23 -0.34 -3.76 16 3 C 0.08 0.58 2.20 -26.73 -0.06 0.53 16 4 H 0.07 0.50 5.82 -51.93 -0.30 0.20 16 5 C 0.10 0.96 5.35 -4.04 -0.02 0.94 16 6 N -0.70 -8.64 5.41 -60.72 -0.33 -8.97 16 7 C 0.51 8.16 7.78 -11.58 -0.09 8.07 16 8 O -0.50 -8.94 13.07 5.49 0.07 -8.87 16 9 C 0.50 8.94 7.75 -11.58 -0.09 8.85 16 10 O -0.55 -10.11 15.93 5.49 0.09 -10.02 16 11 N -0.56 -10.64 2.98 -173.54 -0.52 -11.16 16 12 C 0.04 0.86 6.25 -3.93 -0.02 0.84 16 13 C -0.12 -2.78 5.14 -26.83 -0.14 -2.92 16 14 C 0.05 1.11 2.07 -91.73 -0.19 0.92 16 15 C -0.51 -13.95 8.56 -34.44 -0.29 -14.25 16 16 H 0.05 1.47 7.74 -52.48 -0.41 1.06 16 17 C 0.06 1.67 5.30 -17.82 -0.09 1.58 16 18 N -0.89 -25.11 11.31 55.43 0.63 -24.48 16 19 Si 0.89 21.26 29.54 -169.99 -5.02 16.24 16 20 H -0.28 -6.69 7.11 56.52 0.40 -6.29 16 21 H -0.29 -6.80 7.11 56.52 0.40 -6.40 16 22 H -0.28 -6.49 7.11 56.52 0.40 -6.09 16 23 C -0.12 -2.54 5.30 -26.61 -0.14 -2.68 16 24 C 0.11 1.97 6.42 -3.71 -0.02 1.94 16 25 C -0.11 -0.74 4.39 -26.73 -0.12 -0.86 16 26 C -0.10 -0.58 2.87 -90.62 -0.26 -0.84 16 27 C -0.15 -0.81 9.19 37.16 0.34 -0.46 16 28 C -0.15 -0.84 8.95 37.16 0.33 -0.51 16 29 H 0.04 0.35 5.81 -51.93 -0.30 0.04 16 30 H 0.04 0.26 8.00 -51.93 -0.42 -0.15 16 31 H 0.09 0.57 8.14 -51.93 -0.42 0.15 16 32 H 0.08 0.77 8.14 -51.93 -0.42 0.35 16 33 H 0.09 0.94 8.13 -51.93 -0.42 0.52 16 34 H 0.41 4.53 5.42 -40.82 -0.22 4.31 16 35 H 0.14 2.82 3.74 -56.92 -0.21 2.61 16 36 H 0.06 1.14 8.14 -51.93 -0.42 0.72 16 37 H 0.10 2.76 6.03 -51.93 -0.31 2.44 16 38 H 0.04 0.90 8.14 -51.93 -0.42 0.47 16 39 H 0.03 0.72 8.14 -51.93 -0.42 0.29 16 40 H 0.26 7.04 8.31 -40.82 -0.34 6.70 16 41 H 0.06 1.25 8.14 -51.93 -0.42 0.82 16 42 H 0.05 1.12 8.14 -51.93 -0.42 0.70 16 43 H 0.07 1.16 8.14 -51.93 -0.42 0.74 16 44 H 0.08 1.40 7.04 -51.93 -0.37 1.03 16 45 H 0.08 0.55 8.14 -51.93 -0.42 0.12 16 46 H 0.08 0.46 8.14 -51.93 -0.42 0.03 16 47 H 0.08 0.54 7.69 -51.93 -0.40 0.14 16 48 H 0.05 0.29 8.14 -51.93 -0.42 -0.14 16 49 H 0.05 0.28 8.14 -51.93 -0.42 -0.15 16 50 H 0.06 0.31 8.14 -51.93 -0.42 -0.11 16 51 H 0.05 0.30 6.46 -51.93 -0.34 -0.04 16 52 H 0.05 0.29 8.14 -51.93 -0.42 -0.14 16 53 H 0.06 0.30 8.14 -51.93 -0.42 -0.12 16 LS Contribution 409.77 15.07 6.18 6.18 Total: -1.00 -30.39 409.77 -8.22 -38.61 By element: Atomic # 1 Polarization: 13.01 SS G_CDS: -9.17 Total: 3.83 kcal Atomic # 6 Polarization: 2.19 SS G_CDS: 0.20 Total: 2.40 kcal Atomic # 7 Polarization: -44.39 SS G_CDS: -0.22 Total: -44.61 kcal Atomic # 8 Polarization: -22.46 SS G_CDS: -0.18 Total: -22.65 kcal Atomic # 14 Polarization: 21.26 SS G_CDS: -5.02 Total: 16.24 kcal Total LS contribution 6.18 Total: 6.18 kcal Total: -30.39 -8.22 -38.61 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. ZINC001118052566.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 -79.874 kcal (2) G-P(sol) polarization free energy of solvation -30.390 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -110.265 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.219 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.609 kcal (6) G-S(sol) free energy of system = (1) + (5) -118.484 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.75 seconds