Wall clock time and date at job start Sat Mar 6 2021 04:41:19 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= 0 * 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 Si 1.86303 * 1 3 3 C 1.86299 * 109.46911 * 2 1 4 4 C 1.86301 * 109.46963 * 240.00129 * 2 1 3 5 5 C 1.86800 * 109.47066 * 120.00103 * 2 1 3 6 6 C 1.38349 * 119.92218 * 90.00102 * 5 2 1 7 7 C 1.38393 * 120.30018 * 179.97438 * 6 5 2 8 8 C 1.37919 * 120.14964 * 359.97438 * 7 6 5 9 9 C 1.39648 * 119.85090 * 0.02562 * 8 7 6 10 10 C 1.47726 * 120.14956 * 180.02562 * 9 8 7 11 11 O 1.21473 * 119.99832 * 179.97438 * 10 9 8 12 12 O 1.34712 * 120.00272 * 359.97438 * 10 9 8 13 13 C 1.45200 * 117.00055 * 180.02562 * 12 10 9 14 14 C 1.50695 * 109.46826 * 180.02562 * 13 12 10 15 15 C 1.37827 * 120.04362 * 359.72983 * 14 13 12 16 16 C 1.38836 * 120.70538 * 179.76346 * 15 14 13 17 17 Br 1.89102 * 119.86412 * 180.25681 * 16 15 14 18 18 C 1.37856 * 120.27474 * 0.48464 * 16 15 14 19 19 C 1.39384 * 119.52288 * 359.77191 * 18 16 15 20 20 C 1.38980 * 120.04003 * 179.97438 * 14 13 12 21 21 O 1.34881 * 120.98245 * 0.02562 * 20 14 13 22 22 C 1.33713 * 122.41380 * 180.02562 * 21 20 14 23 23 C 1.34543 * 122.84742 * 359.95943 * 22 21 20 24 24 C 1.50697 * 120.19833 * 180.02562 * 23 22 21 25 25 O 1.42903 * 109.47076 * 119.98029 * 24 23 22 26 26 Si 1.86297 * 109.47705 * 359.97438 * 24 23 22 27 27 H 1.48502 * 109.46980 * 59.99499 * 26 24 23 28 28 H 1.48495 * 109.47586 * 179.97438 * 26 24 23 29 29 H 1.48500 * 109.46998 * 300.00307 * 26 24 23 30 30 C 1.41993 * 119.59366 * 0.02562 * 23 22 21 31 31 O 1.21918 * 121.40555 * 179.97438 * 30 23 22 32 32 C 1.37966 * 119.92340 * 269.72432 * 5 2 1 33 33 H 1.09000 * 109.47064 * 299.99897 * 1 2 3 34 34 H 1.09002 * 109.47704 * 59.99846 * 1 2 3 35 35 H 1.08996 * 109.47221 * 180.02562 * 1 2 3 36 36 H 1.09001 * 109.47058 * 180.02562 * 3 2 1 37 37 H 1.09002 * 109.47329 * 300.00067 * 3 2 1 38 38 H 1.09000 * 109.47172 * 60.00169 * 3 2 1 39 39 H 1.08993 * 109.47131 * 300.00341 * 4 2 1 40 40 H 1.09002 * 109.46890 * 59.99526 * 4 2 1 41 41 H 1.08998 * 109.47144 * 179.97438 * 4 2 1 42 42 H 1.07999 * 119.85193 * 359.97438 * 6 5 2 43 43 H 1.08000 * 119.91966 * 179.97438 * 7 6 5 44 44 H 1.08001 * 120.07374 * 179.97438 * 8 7 6 45 45 H 1.09001 * 109.46720 * 299.99897 * 13 12 10 46 46 H 1.08995 * 109.47319 * 59.99871 * 13 12 10 47 47 H 1.07996 * 119.64837 * 359.97016 * 15 14 13 48 48 H 1.08001 * 120.23595 * 179.74793 * 18 16 15 49 49 H 1.07992 * 118.57496 * 179.97438 * 22 21 20 50 50 H 1.09003 * 109.47360 * 239.97548 * 24 23 22 51 51 H 0.96707 * 113.99633 * 300.00121 * 25 24 23 52 52 H 1.07997 * 120.07683 * 0.02562 * 32 5 2 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 14 1.8630 0.0000 0.0000 3 6 2.4840 1.7565 0.0000 4 6 2.4840 -0.8782 -1.5212 5 6 2.4857 -0.8806 1.5252 6 6 2.7157 -2.2444 1.4891 7 6 3.1775 -2.9046 2.6143 8 6 3.4120 -2.2058 3.7801 9 6 3.1819 -0.8291 3.8235 10 6 3.4314 -0.0741 5.0685 11 8 3.2308 1.1235 5.1031 12 8 3.8814 -0.7136 6.1654 13 6 4.1039 0.0916 7.3531 14 6 4.6032 -0.7882 8.4700 15 6 4.7724 -2.1399 8.2606 16 6 5.2362 -2.9624 9.2785 17 35 5.4666 -4.8126 8.9629 18 6 5.5252 -2.4366 10.5197 19 6 5.3528 -1.0719 10.7445 20 6 4.8888 -0.2384 9.7141 21 8 4.7258 1.0806 9.9443 22 6 4.9921 1.6396 11.1294 23 6 5.4415 0.9353 12.1840 24 6 5.7221 1.6268 13.4933 25 8 4.8982 1.0630 14.5158 26 14 5.3500 3.4447 13.3278 27 1 3.9208 3.6267 12.9682 28 1 5.6259 4.1259 14.6181 29 1 6.2062 4.0304 12.2652 30 6 5.6497 -0.4634 12.0558 31 8 6.0563 -1.1334 12.9897 32 6 2.7205 -0.1686 2.6834 33 1 -0.3633 0.5138 0.8900 34 1 -0.3634 0.5138 -0.8899 35 1 -0.3633 -1.0276 0.0005 36 1 3.5740 1.7565 -0.0005 37 1 2.1206 2.2703 -0.8900 38 1 2.1206 2.2703 0.8900 39 1 2.1206 -1.9058 -1.5212 40 1 2.1205 -0.3644 -2.4111 41 1 3.5740 -0.8778 -1.5214 42 1 2.5341 -2.7963 0.5787 43 1 3.3546 -3.9694 2.5794 44 1 3.7720 -2.7224 4.6576 45 1 4.8459 0.8603 7.1371 46 1 3.1682 0.5637 7.6525 47 1 4.5449 -2.5633 7.2935 48 1 5.8821 -3.0777 11.3122 49 1 4.8397 2.7024 11.2451 50 1 6.7712 1.4932 13.7572 51 1 3.9496 1.1459 14.3468 52 1 2.5444 0.8966 2.7090 RHF calculation, no. of doubly occupied orbitals= 76 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) 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). Br: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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=0 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 s_1458_18329660_484008.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Mar 6 2021 04:41:19 Heat of formation + Delta-G solvation = -141.785251 kcal Electronic energy + Delta-G solvation = -37733.086656 eV Core-core repulsion = 32605.818961 eV Total energy + Delta-G solvation = -5127.267695 eV No. of doubly occupied orbitals = 76 Molecular weight (most abundant/longest-lived isotopes) = 490.050 amu Computer time = 1.44 seconds Orbital eigenvalues (eV) -43.34815 -41.70894 -40.05397 -40.02762 -39.52764 -37.85106 -37.53845 -34.63928 -33.70037 -33.18005 -32.41026 -31.97862 -30.70176 -29.58617 -28.64227 -28.47331 -28.28561 -27.46876 -26.02529 -25.10358 -24.42334 -23.40062 -22.50592 -21.94609 -20.72465 -19.62930 -19.22566 -18.76210 -18.18167 -17.99955 -17.62465 -17.47321 -17.15524 -16.68228 -16.48357 -16.26816 -16.17521 -15.94647 -15.74866 -15.61912 -15.13710 -15.01369 -14.96639 -14.69031 -14.55953 -14.47050 -14.26089 -14.20234 -14.01239 -14.00286 -13.93693 -13.61648 -13.37905 -13.31416 -13.28863 -13.17117 -13.01647 -12.79748 -12.55559 -12.52631 -12.37349 -12.27906 -11.94517 -11.82868 -11.68974 -11.47376 -11.17962 -11.15288 -11.01259 -10.97877 -10.71644 -10.42421 -10.38188 -10.08696 -9.95822 -9.55014 -0.81475 -0.69207 -0.36859 0.01262 0.21205 0.36226 0.86561 0.91100 1.17318 1.22982 1.28102 1.42433 1.46710 1.58321 1.71167 1.76622 1.90133 2.34418 2.44650 2.71660 2.76856 2.87203 3.08093 3.18514 3.36942 3.50584 3.62836 3.75341 3.82163 3.84052 3.90424 3.99701 4.02303 4.07418 4.15058 4.26350 4.30184 4.38141 4.51615 4.57242 4.63012 4.64626 4.66274 4.67430 4.68900 4.69546 4.70569 4.71481 4.79358 4.81101 5.01595 5.12848 5.17920 5.30258 5.34189 5.39079 5.47729 5.50109 5.72825 5.79229 6.45381 6.49267 6.60277 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.450 4.450 2 Si 1.065 2.935 3 C -0.452 4.452 4 C -0.450 4.450 5 C -0.386 4.386 6 C -0.050 4.050 7 C -0.143 4.143 8 C -0.052 4.052 9 C -0.140 4.140 10 C 0.514 3.486 11 O -0.500 6.500 12 O -0.353 6.353 13 C 0.119 3.881 14 C -0.105 4.105 15 C -0.013 4.013 16 C -0.120 4.120 17 Br -0.024 7.024 18 C 0.003 3.997 19 C -0.211 4.211 20 C 0.162 3.838 21 O -0.212 6.212 22 C 0.130 3.870 23 C -0.311 4.311 24 C -0.052 4.052 25 O -0.525 6.525 26 Si 0.924 3.076 27 H -0.243 1.243 28 H -0.236 1.236 29 H -0.242 1.242 30 C 0.433 3.567 31 O -0.433 6.433 32 C -0.022 4.022 33 H 0.070 0.930 34 H 0.072 0.928 35 H 0.070 0.930 36 H 0.071 0.929 37 H 0.073 0.927 38 H 0.071 0.929 39 H 0.070 0.930 40 H 0.073 0.927 41 H 0.071 0.929 42 H 0.129 0.871 43 H 0.131 0.869 44 H 0.136 0.864 45 H 0.096 0.904 46 H 0.096 0.904 47 H 0.160 0.840 48 H 0.156 0.844 49 H 0.195 0.805 50 H 0.123 0.877 51 H 0.373 0.627 52 H 0.136 0.864 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.080 1.462 -5.635 6.182 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 -0.558 4.558 2 Si 1.256 2.744 3 C -0.560 4.560 4 C -0.558 4.558 5 C -0.426 4.426 6 C -0.068 4.068 7 C -0.161 4.161 8 C -0.071 4.071 9 C -0.141 4.141 10 C 0.359 3.641 11 O -0.388 6.388 12 O -0.270 6.270 13 C 0.046 3.954 14 C -0.107 4.107 15 C -0.032 4.032 16 C -0.200 4.200 17 Br 0.062 6.938 18 C -0.017 4.017 19 C -0.214 4.214 20 C 0.117 3.883 21 O -0.116 6.116 22 C 0.065 3.935 23 C -0.313 4.313 24 C -0.162 4.162 25 O -0.329 6.329 26 Si 0.745 3.255 27 H -0.166 1.166 28 H -0.159 1.159 29 H -0.166 1.166 30 C 0.314 3.686 31 O -0.311 6.311 32 C -0.040 4.040 33 H 0.089 0.911 34 H 0.091 0.909 35 H 0.089 0.911 36 H 0.090 0.910 37 H 0.092 0.908 38 H 0.090 0.910 39 H 0.089 0.911 40 H 0.092 0.908 41 H 0.090 0.910 42 H 0.147 0.853 43 H 0.149 0.851 44 H 0.153 0.847 45 H 0.114 0.886 46 H 0.114 0.886 47 H 0.178 0.822 48 H 0.174 0.826 49 H 0.211 0.789 50 H 0.141 0.859 51 H 0.220 0.780 52 H 0.154 0.846 Dipole moment (debyes) X Y Z Total from point charges -1.478 1.611 -5.130 5.577 hybrid contribution -0.281 0.002 0.252 0.378 sum -1.760 1.612 -4.878 5.430 Atomic orbital electron populations 1.26132 1.20304 1.04666 1.04679 0.78131 0.66928 0.66125 0.63221 1.26159 1.06552 1.18523 1.04794 1.26133 1.06528 1.08046 1.15045 1.27522 1.05353 0.99691 1.10078 1.21434 0.92934 0.94445 0.97957 1.21301 1.01067 1.00573 0.93118 1.21497 0.94422 0.92579 0.98557 1.19182 1.09095 0.94242 0.91583 1.21249 0.73509 0.86018 0.83310 1.90870 1.48198 1.15474 1.84279 1.86432 1.77624 1.42432 1.20498 1.21512 1.02609 0.91154 0.80163 1.18785 1.06029 0.94218 0.91621 1.21028 0.92212 0.90786 0.99199 1.21842 1.08589 0.92962 0.96574 1.96847 1.96352 1.04283 1.96329 1.21142 0.91632 0.93248 0.95687 1.20744 1.09010 0.95076 0.96543 1.18879 0.95894 0.80362 0.93181 1.83093 1.73296 1.22139 1.33070 1.23783 0.90395 0.97853 0.81507 1.22117 1.12608 0.97568 0.99053 1.24637 0.99950 1.06935 0.84722 1.86626 1.20362 1.82553 1.43365 0.86106 0.81652 0.74682 0.83088 1.16606 1.15901 1.16555 1.18182 0.76587 0.87732 0.86053 1.90792 1.35192 1.65252 1.39872 1.21251 0.91818 1.00374 0.90517 0.91083 0.90866 0.91101 0.90987 0.90778 0.91011 0.91099 0.90760 0.90962 0.85303 0.85116 0.84662 0.88612 0.88615 0.82229 0.82593 0.78893 0.85881 0.78028 0.84598 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 -0.45 1.03 8.65 101.05 0.87 1.90 16 2 Si 1.06 -3.60 12.31 -169.99 -2.09 -5.69 16 3 C -0.45 0.96 8.52 101.05 0.86 1.82 16 4 C -0.45 1.33 8.53 101.05 0.86 2.19 16 5 C -0.39 0.53 4.59 -39.64 -0.18 0.35 16 6 C -0.05 0.09 9.29 -39.48 -0.37 -0.28 16 7 C -0.14 0.21 10.03 -39.64 -0.40 -0.19 16 8 C -0.05 0.03 9.62 -39.17 -0.38 -0.34 16 9 C -0.14 -0.12 5.87 -104.98 -0.62 -0.74 16 10 C 0.51 0.96 7.90 34.61 0.27 1.23 16 11 O -0.50 -2.07 16.14 -19.25 -0.31 -2.38 16 12 O -0.35 -0.10 7.93 -40.52 -0.32 -0.42 16 13 C 0.12 -0.06 5.39 36.00 0.19 0.13 16 14 C -0.10 0.04 5.89 -104.50 -0.62 -0.58 16 15 C -0.01 0.01 9.10 -39.51 -0.36 -0.35 16 16 C -0.12 -0.05 6.22 -39.50 -0.25 -0.30 16 17 Br -0.02 -0.01 33.69 -68.01 -2.29 -2.30 16 18 C 0.00 0.00 9.40 -39.29 -0.37 -0.37 16 19 C -0.21 -0.33 5.89 -104.84 -0.62 -0.94 16 20 C 0.16 0.04 6.74 -38.49 -0.26 -0.22 16 21 O -0.21 0.21 9.21 5.65 0.05 0.26 16 22 C 0.13 -0.26 10.00 29.43 0.29 0.04 16 23 C -0.31 -0.02 5.40 -104.49 -0.56 -0.58 16 24 C -0.05 0.02 2.54 36.00 0.09 0.12 16 25 O -0.53 -0.59 12.52 -36.35 -0.46 -1.05 16 26 Si 0.92 -2.33 25.09 -169.99 -4.26 -6.60 16 27 H -0.24 0.78 7.11 56.52 0.40 1.18 16 28 H -0.24 0.16 7.11 56.52 0.40 0.56 16 29 H -0.24 0.69 7.11 56.52 0.40 1.09 16 30 C 0.43 1.20 6.91 -34.34 -0.24 0.97 16 31 O -0.43 -2.60 16.66 3.87 0.06 -2.54 16 32 C -0.02 -0.01 8.84 -39.17 -0.35 -0.35 16 33 H 0.07 -0.13 7.96 -51.93 -0.41 -0.54 16 34 H 0.07 -0.18 7.96 -51.93 -0.41 -0.59 16 35 H 0.07 -0.16 7.96 -51.93 -0.41 -0.57 16 36 H 0.07 -0.13 7.96 -51.93 -0.41 -0.54 16 37 H 0.07 -0.17 7.96 -51.93 -0.41 -0.59 16 38 H 0.07 -0.13 7.67 -51.93 -0.40 -0.53 16 39 H 0.07 -0.24 7.67 -51.93 -0.40 -0.63 16 40 H 0.07 -0.21 7.96 -51.93 -0.41 -0.63 16 41 H 0.07 -0.19 7.96 -51.93 -0.41 -0.61 16 42 H 0.13 -0.50 7.40 -52.49 -0.39 -0.89 16 43 H 0.13 -0.43 8.06 -52.49 -0.42 -0.86 16 44 H 0.14 -0.30 7.61 -52.49 -0.40 -0.70 16 45 H 0.10 -0.09 8.14 -51.93 -0.42 -0.51 16 46 H 0.10 -0.09 8.14 -51.93 -0.42 -0.51 16 47 H 0.16 -0.26 6.96 -52.49 -0.37 -0.63 16 48 H 0.16 0.20 7.81 -52.49 -0.41 -0.21 16 49 H 0.19 -0.94 4.66 -52.49 -0.24 -1.18 16 50 H 0.12 -0.03 7.96 -51.93 -0.41 -0.45 16 51 H 0.37 -1.01 8.70 45.56 0.40 -0.62 16 52 H 0.14 -0.02 7.00 -52.49 -0.37 -0.39 16 LS Contribution 463.69 15.07 6.99 6.99 Total: 0.00 -8.90 463.69 -10.68 -19.58 By element: Atomic # 1 Polarization: -3.39 SS G_CDS: -5.95 Total: -9.34 kcal Atomic # 6 Polarization: 5.59 SS G_CDS: -2.10 Total: 3.49 kcal Atomic # 8 Polarization: -5.16 SS G_CDS: -0.97 Total: -6.13 kcal Atomic # 14 Polarization: -5.93 SS G_CDS: -6.36 Total: -12.29 kcal Atomic # 35 Polarization: -0.01 SS G_CDS: -2.29 Total: -2.30 kcal Total LS contribution 6.99 Total: 6.99 kcal Total: -8.90 -10.68 -19.58 kcal The number of atoms in the molecule is 52 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. s_1458_18329660_484008.mol2 52 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 -122.204 kcal (2) G-P(sol) polarization free energy of solvation -8.899 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -131.103 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.682 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -19.581 kcal (6) G-S(sol) free energy of system = (1) + (5) -141.785 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.45 seconds