Wall clock time and date at job start Sat Apr 11 2020 06:12:07 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 1.42903 * 1 3 3 C 1.42901 * 114.00267 * 2 1 4 4 C 1.53001 * 109.47018 * 270.00354 * 3 2 1 5 5 C 1.53003 * 109.46978 * 180.02562 * 4 3 2 6 6 C 1.53000 * 109.47120 * 59.99960 * 5 4 3 7 7 C 1.53002 * 109.46931 * 180.02562 * 6 5 4 8 8 C 1.50699 * 109.46718 * 294.99498 * 7 6 5 9 9 O 1.21288 * 120.00230 * 0.02562 * 8 7 6 10 10 N 1.34777 * 119.99868 * 179.97438 * 8 7 6 11 11 C 1.46497 * 119.99876 * 0.02562 * 10 8 7 12 12 C 1.46506 * 120.00144 * 179.97438 * 10 8 7 13 13 H 1.08999 * 110.88377 * 357.57670 * 12 10 8 14 14 C 1.54908 * 111.00227 * 121.45654 * 12 10 8 15 15 N 1.47424 * 104.83031 * 155.08728 * 14 12 10 16 16 C 1.36931 * 125.64883 * 155.83788 * 15 14 12 17 17 H 1.07998 * 120.00009 * 359.97438 * 16 15 14 18 18 C 1.38816 * 120.00156 * 179.97438 * 16 15 14 19 19 N 1.31615 * 119.99887 * 0.02562 * 18 16 15 20 20 Si 1.86802 * 119.99891 * 179.97438 * 18 16 15 21 21 H 1.48490 * 109.47344 * 90.00226 * 20 18 16 22 22 H 1.48503 * 109.46738 * 209.99946 * 20 18 16 23 23 H 1.48498 * 109.47321 * 329.99850 * 20 18 16 24 24 C 1.47021 * 108.70514 * 335.86940 * 15 14 12 25 25 C 1.54330 * 107.27087 * 1.06097 * 24 15 14 26 26 H 1.09000 * 110.72224 * 263.82971 * 25 24 15 27 27 O 1.42894 * 110.72173 * 140.55199 * 25 24 15 28 28 C 1.53006 * 109.46964 * 299.99682 * 6 5 4 29 29 C 1.53000 * 109.47081 * 150.00312 * 3 2 1 30 30 H 1.09002 * 109.47382 * 179.97438 * 1 2 3 31 31 H 1.09001 * 109.46938 * 59.99878 * 1 2 3 32 32 H 1.09004 * 109.46926 * 299.99999 * 1 2 3 33 33 H 1.08994 * 109.46677 * 29.99907 * 3 2 1 34 34 H 1.08998 * 109.46767 * 299.99763 * 4 3 2 35 35 H 1.08995 * 109.47219 * 60.00003 * 4 3 2 36 36 H 1.08994 * 109.46679 * 299.99529 * 5 4 3 37 37 H 1.08999 * 109.46600 * 180.02562 * 5 4 3 38 38 H 1.08998 * 109.47480 * 59.99736 * 6 5 4 39 39 H 1.08996 * 109.47216 * 54.99332 * 7 6 5 40 40 H 1.08999 * 109.46613 * 175.00294 * 7 6 5 41 41 H 1.09004 * 109.47329 * 89.99842 * 11 10 8 42 42 H 1.09008 * 109.47007 * 209.99402 * 11 10 8 43 43 H 1.09001 * 109.47597 * 329.99467 * 11 10 8 44 44 H 1.09005 * 110.36485 * 273.92363 * 14 12 10 45 45 H 1.08999 * 110.36683 * 36.24670 * 14 12 10 46 46 H 0.96997 * 120.00269 * 180.02562 * 19 18 16 47 47 H 1.09001 * 109.88376 * 120.47898 * 24 15 14 48 48 H 1.09002 * 109.88375 * 241.49318 * 24 15 14 49 49 H 0.96710 * 113.99743 * 66.47878 * 27 25 24 50 50 H 1.08994 * 109.47330 * 300.00734 * 28 6 5 51 51 H 1.08995 * 109.46955 * 180.02562 * 28 6 5 52 52 H 1.09000 * 109.46630 * 299.99844 * 29 3 2 53 53 H 1.08999 * 109.47013 * 60.00018 * 29 3 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 8 1.4290 0.0000 0.0000 3 6 2.0103 1.3054 0.0000 4 6 2.2177 1.7714 -1.4425 5 6 2.8407 3.1688 -1.4425 6 6 4.1894 3.1259 -0.7215 7 6 4.8121 4.5235 -0.7210 8 6 5.1294 4.9325 -2.1363 9 8 4.8816 4.1804 -3.0550 10 7 5.6878 6.1345 -2.3812 11 6 5.9867 7.0431 -1.2716 12 6 5.9969 6.5319 -3.7571 13 1 5.7552 5.7314 -4.4563 14 6 5.2603 7.8410 -4.1356 15 7 6.0766 8.4364 -5.2091 16 6 5.6268 9.3109 -6.1621 17 1 4.5917 9.6189 -6.1668 18 6 6.5013 9.8014 -7.1221 19 7 7.7627 9.4256 -7.1166 20 14 5.8875 10.9937 -8.4225 21 1 6.0408 12.3860 -7.9294 22 1 6.6790 10.8194 -9.6669 23 1 4.4549 10.7235 -8.7051 24 6 7.4534 7.9353 -5.0876 25 6 7.4821 6.9599 -3.8920 26 1 7.8210 7.4669 -2.9886 27 8 8.3093 5.8309 -4.1803 28 6 3.9820 2.6600 0.7211 29 6 3.3590 1.2631 0.7212 30 1 -0.3634 -1.0277 -0.0005 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3633 0.5139 0.8900 33 1 1.3451 1.9993 0.5138 34 1 2.8829 1.0774 -1.9563 35 1 1.2569 1.8015 -1.9563 36 1 2.1758 3.8629 -0.9286 37 1 2.9879 3.5009 -2.4702 38 1 4.8543 2.4317 -1.2354 39 1 4.1092 5.2342 -0.2863 40 1 5.7290 4.5124 -0.1317 41 1 6.9961 6.8521 -0.9074 42 1 5.9141 8.0745 -1.6170 43 1 5.2722 6.8789 -0.4650 44 1 4.2570 7.6201 -4.5000 45 1 5.2140 8.5119 -3.2777 46 1 8.3739 9.7687 -7.7871 47 1 7.7393 7.4120 -6.0000 48 1 8.1358 8.7661 -4.9076 49 1 9.2478 6.0448 -4.2744 50 1 3.3171 3.3541 1.2350 51 1 4.9428 2.6299 1.2348 52 1 3.2112 0.9312 1.7488 53 1 4.0242 0.5692 0.2073 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 ZINC001047648808.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 06:12:07 Heat of formation + Delta-G solvation = -114.539774 kcal Electronic energy + Delta-G solvation = -31040.670862 eV Core-core repulsion = 26912.741786 eV Total energy + Delta-G solvation = -4127.929076 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.30 seconds Orbital eigenvalues (eV) -40.28990 -39.26028 -37.95406 -36.66060 -35.18270 -34.75341 -32.33241 -31.67278 -30.95770 -28.82250 -27.69953 -27.26740 -26.62298 -25.81844 -24.24647 -22.90534 -21.89850 -20.47893 -20.32258 -19.94617 -18.75953 -17.27498 -17.07735 -16.85352 -16.41421 -16.00996 -15.79458 -15.44393 -15.27250 -14.80942 -14.33987 -14.16830 -14.11824 -13.97479 -13.47234 -13.33230 -13.03296 -12.88843 -12.70447 -12.56708 -12.40117 -12.21834 -12.09435 -12.07415 -11.91708 -11.78640 -11.42014 -11.27974 -11.21765 -10.99391 -10.87663 -10.80812 -10.76246 -10.69029 -10.42443 -10.16261 -9.91798 -9.83982 -9.72174 -9.46818 -9.20325 -8.72529 -8.32858 -6.93348 -5.78082 -3.13362 2.83239 3.14475 3.37143 3.42431 3.44517 3.48182 4.40956 4.46376 4.48211 4.61180 4.66329 4.75185 4.85219 5.00696 5.03836 5.06906 5.12676 5.16472 5.21552 5.25329 5.31576 5.33877 5.37283 5.38252 5.41881 5.48160 5.55487 5.62354 5.65206 5.68239 5.74480 5.79676 5.84401 5.84681 5.91916 6.02754 6.07186 6.07827 6.14419 6.33968 6.38002 6.48210 6.61644 6.90249 6.97604 7.33635 7.46136 7.62755 7.72311 8.15274 8.19019 8.41272 9.12506 9.72714 10.35857 11.33257 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020060 B = 0.002222 C = 0.002102 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1395.509982 B =12595.582386 C =13314.523827 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.031 3.969 2 O -0.389 6.389 3 C 0.088 3.912 4 C -0.137 4.137 5 C -0.118 4.118 6 C -0.073 4.073 7 C -0.134 4.134 8 C 0.513 3.487 9 O -0.535 6.535 10 N -0.603 5.603 11 C 0.073 3.927 12 C 0.134 3.866 13 H 0.114 0.886 14 C 0.131 3.869 15 N -0.599 5.599 16 C -0.230 4.230 17 H 0.081 0.919 18 C -0.007 4.007 19 N -0.922 5.922 20 Si 0.915 3.085 21 H -0.288 1.288 22 H -0.290 1.290 23 H -0.280 1.280 24 C 0.153 3.847 25 C 0.066 3.934 26 H 0.055 0.945 27 O -0.561 6.561 28 C -0.111 4.111 29 C -0.114 4.114 30 H 0.083 0.917 31 H 0.041 0.959 32 H 0.039 0.961 33 H 0.058 0.942 34 H 0.071 0.929 35 H 0.060 0.940 36 H 0.054 0.946 37 H 0.089 0.911 38 H 0.081 0.919 39 H 0.091 0.909 40 H 0.091 0.909 41 H 0.054 0.946 42 H 0.079 0.921 43 H 0.070 0.930 44 H 0.047 0.953 45 H 0.025 0.975 46 H 0.254 0.746 47 H 0.060 0.940 48 H 0.047 0.953 49 H 0.373 0.627 50 H 0.063 0.937 51 H 0.069 0.931 52 H 0.066 0.934 53 H 0.072 0.928 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.630 -12.193 19.896 24.551 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 -0.065 4.065 2 O -0.308 6.308 3 C 0.031 3.969 4 C -0.175 4.175 5 C -0.155 4.155 6 C -0.092 4.092 7 C -0.174 4.174 8 C 0.301 3.699 9 O -0.412 6.412 10 N -0.335 5.335 11 C -0.071 4.071 12 C 0.030 3.970 13 H 0.132 0.868 14 C 0.004 3.996 15 N -0.327 5.327 16 C -0.358 4.358 17 H 0.098 0.902 18 C -0.203 4.203 19 N -0.569 5.569 20 Si 0.746 3.254 21 H -0.215 1.215 22 H -0.216 1.216 23 H -0.206 1.206 24 C 0.027 3.973 25 C 0.005 3.995 26 H 0.073 0.927 27 O -0.365 6.365 28 C -0.149 4.149 29 C -0.152 4.152 30 H 0.102 0.898 31 H 0.059 0.941 32 H 0.058 0.942 33 H 0.076 0.924 34 H 0.090 0.910 35 H 0.079 0.921 36 H 0.073 0.927 37 H 0.108 0.892 38 H 0.100 0.900 39 H 0.109 0.891 40 H 0.110 0.890 41 H 0.072 0.928 42 H 0.098 0.902 43 H 0.088 0.912 44 H 0.066 0.934 45 H 0.043 0.957 46 H 0.064 0.936 47 H 0.078 0.922 48 H 0.066 0.934 49 H 0.220 0.780 50 H 0.082 0.918 51 H 0.088 0.912 52 H 0.085 0.915 53 H 0.090 0.910 Dipole moment (debyes) X Y Z Total from point charges -8.139 -12.954 19.245 24.585 hybrid contribution 0.168 1.396 -0.678 1.562 sum -7.971 -11.558 18.567 23.278 Atomic orbital electron populations 1.22761 0.81370 1.02522 0.99877 1.87899 1.19414 1.28321 1.95117 1.22227 0.94726 0.83969 0.95987 1.21989 1.01296 0.97763 0.96428 1.21679 0.95061 0.95810 1.02960 1.20963 0.97535 0.95220 0.95515 1.21765 1.02530 0.98556 0.94560 1.20624 0.77007 0.80864 0.91415 1.90667 1.52561 1.51393 1.46547 1.47787 1.61486 1.16779 1.07486 1.21819 1.00645 0.95282 0.89318 1.22363 0.93497 0.98935 0.82247 0.86789 1.21783 0.95019 0.90783 0.92013 1.44237 1.05038 1.52097 1.31314 1.19065 0.94799 1.17472 1.04493 0.90165 1.24832 0.95794 1.00509 0.99214 1.69932 1.03055 1.47208 1.36749 0.86066 0.77824 0.80562 0.80988 1.21544 1.21588 1.20588 1.21834 0.87357 0.94123 0.93971 1.23537 0.90199 0.87476 0.98278 0.92719 1.86500 1.21652 1.33990 1.94396 1.21562 1.00910 0.95869 0.96529 1.21543 0.95438 0.97716 1.00456 0.89835 0.94054 0.94241 0.92413 0.90985 0.92127 0.92704 0.89216 0.90029 0.89072 0.89028 0.92760 0.90245 0.91161 0.93435 0.95748 0.93615 0.92228 0.93443 0.78037 0.91813 0.91235 0.91487 0.90970 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 0.23 10.82 101.05 1.09 1.33 16 2 O -0.39 -4.07 10.35 -35.23 -0.36 -4.43 16 3 C 0.09 0.83 2.61 -26.73 -0.07 0.76 16 4 C -0.14 -1.44 5.54 -26.73 -0.15 -1.59 16 5 C -0.12 -1.30 4.94 -26.73 -0.13 -1.43 16 6 C -0.07 -0.75 1.84 -90.62 -0.17 -0.91 16 7 C -0.13 -1.34 3.73 -27.88 -0.10 -1.45 16 8 C 0.51 7.67 7.39 -10.99 -0.08 7.59 16 9 O -0.53 -10.08 13.35 5.55 0.07 -10.00 16 10 N -0.60 -9.11 2.91 -171.47 -0.50 -9.61 16 11 C 0.07 0.80 8.93 59.85 0.53 1.33 16 12 C 0.13 2.56 3.18 -65.78 -0.21 2.36 16 13 H 0.11 2.57 7.01 -51.93 -0.36 2.20 16 14 C 0.13 2.72 6.80 -2.53 -0.02 2.71 16 15 N -0.60 -15.21 3.39 -170.07 -0.58 -15.78 16 16 C -0.23 -6.37 10.28 -15.06 -0.15 -6.52 16 17 H 0.08 2.14 7.83 -52.49 -0.41 1.72 16 18 C -0.01 -0.20 5.49 -17.43 -0.10 -0.30 16 19 N -0.92 -26.75 10.31 55.49 0.57 -26.18 16 20 Si 0.92 21.96 29.55 -169.99 -5.02 16.93 16 21 H -0.29 -6.85 7.11 56.52 0.40 -6.44 16 22 H -0.29 -7.03 7.11 56.52 0.40 -6.63 16 23 H -0.28 -6.58 7.11 56.52 0.40 -6.17 16 24 C 0.15 3.66 5.15 -3.06 -0.02 3.65 16 25 C 0.07 1.26 3.89 -24.89 -0.10 1.16 16 26 H 0.05 0.94 7.05 -51.93 -0.37 0.57 16 27 O -0.56 -10.47 13.39 -35.23 -0.47 -10.94 16 28 C -0.11 -0.85 5.20 -26.75 -0.14 -0.99 16 29 C -0.11 -0.97 5.57 -26.76 -0.15 -1.12 16 30 H 0.08 0.51 8.14 -51.93 -0.42 0.09 16 31 H 0.04 0.29 7.87 -51.93 -0.41 -0.12 16 32 H 0.04 0.25 8.09 -51.93 -0.42 -0.17 16 33 H 0.06 0.49 7.79 -51.93 -0.40 0.08 16 34 H 0.07 0.85 8.14 -51.93 -0.42 0.43 16 35 H 0.06 0.62 7.87 -51.93 -0.41 0.21 16 36 H 0.05 0.54 8.14 -51.93 -0.42 0.11 16 37 H 0.09 1.27 5.95 -51.93 -0.31 0.96 16 38 H 0.08 0.99 7.96 -51.93 -0.41 0.58 16 39 H 0.09 0.74 7.40 -51.93 -0.38 0.35 16 40 H 0.09 0.76 8.11 -51.93 -0.42 0.34 16 41 H 0.05 0.54 8.08 -51.93 -0.42 0.12 16 42 H 0.08 0.93 6.30 -51.92 -0.33 0.60 16 43 H 0.07 0.56 6.44 -51.93 -0.33 0.22 16 44 H 0.05 1.00 8.14 -51.93 -0.42 0.58 16 45 H 0.03 0.48 6.28 -51.93 -0.33 0.15 16 46 H 0.25 7.14 8.31 -40.82 -0.34 6.80 16 47 H 0.06 1.63 7.30 -51.93 -0.38 1.25 16 48 H 0.05 1.22 7.50 -51.93 -0.39 0.83 16 49 H 0.37 5.35 9.12 45.56 0.42 5.77 16 50 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 51 H 0.07 0.47 8.14 -51.93 -0.42 0.04 16 52 H 0.07 0.52 8.14 -51.93 -0.42 0.09 16 53 H 0.07 0.68 8.14 -51.93 -0.42 0.25 16 LS Contribution 403.30 15.07 6.08 6.08 Total: -1.00 -33.77 403.30 -8.75 -42.52 By element: Atomic # 1 Polarization: 13.44 SS G_CDS: -8.59 Total: 4.85 kcal Atomic # 6 Polarization: 6.51 SS G_CDS: 0.05 Total: 6.56 kcal Atomic # 7 Polarization: -51.07 SS G_CDS: -0.50 Total: -51.57 kcal Atomic # 8 Polarization: -24.62 SS G_CDS: -0.76 Total: -25.38 kcal Atomic # 14 Polarization: 21.96 SS G_CDS: -5.02 Total: 16.93 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -33.77 -8.75 -42.52 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. ZINC001047648808.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 -72.016 kcal (2) G-P(sol) polarization free energy of solvation -33.773 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -105.788 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.751 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.524 kcal (6) G-S(sol) free energy of system = (1) + (5) -114.540 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.30 seconds