Wall clock time and date at job start Tue Mar 31 2020 19:36:16 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 1.17397 * 1 3 3 C 1.47198 * 179.97438 * 2 1 4 4 C 1.52994 * 109.47257 * 122.25171 * 3 2 1 5 5 C 1.53001 * 109.47367 * 180.02562 * 4 3 2 6 6 C 1.53003 * 109.47184 * 180.02562 * 5 4 3 7 7 C 1.53003 * 109.46813 * 179.97438 * 6 5 4 8 8 C 1.50697 * 109.46624 * 179.97438 * 7 6 5 9 9 O 1.21283 * 120.00521 * 359.73045 * 8 7 6 10 10 N 1.34784 * 119.99774 * 180.02562 * 8 7 6 11 11 C 1.46499 * 119.99971 * 359.72768 * 10 8 7 12 12 C 1.50703 * 109.47219 * 89.99688 * 11 10 8 13 13 H 1.07996 * 119.99587 * 359.97438 * 12 11 10 14 14 C 1.37875 * 120.00012 * 180.02562 * 12 11 10 15 15 N 1.31516 * 119.99655 * 180.02562 * 14 12 11 16 16 Si 1.86801 * 119.99994 * 0.02562 * 14 12 11 17 17 H 1.48495 * 109.46889 * 90.00281 * 16 14 12 18 18 H 1.48510 * 109.46825 * 210.00042 * 16 14 12 19 19 H 1.48494 * 109.47200 * 329.99914 * 16 14 12 20 20 C 1.46499 * 119.99893 * 179.72962 * 10 8 7 21 21 C 1.52996 * 109.47198 * 90.00083 * 20 10 8 22 22 N 1.46902 * 109.46980 * 179.97438 * 21 20 10 23 23 C 1.47015 * 111.00009 * 293.63325 * 22 21 20 24 24 C 1.53100 * 109.25969 * 177.60615 * 23 22 21 25 25 O 1.43020 * 109.25371 * 56.84894 * 24 23 22 26 26 C 1.43015 * 113.74045 * 301.33009 * 25 24 23 27 27 C 1.47013 * 110.99990 * 170.00210 * 22 21 20 28 28 H 4.44651 * 5.63450 * 180.02562 * 4 1 2 29 29 H 1.09007 * 109.46855 * 2.25158 * 3 2 1 30 30 H 1.09001 * 109.47063 * 242.25074 * 3 2 1 31 31 H 1.08998 * 109.47353 * 59.99920 * 4 3 2 32 32 H 1.09006 * 109.47395 * 300.00176 * 4 3 2 33 33 H 1.08998 * 109.47065 * 59.99602 * 5 4 3 34 34 H 1.09001 * 109.46892 * 299.99866 * 5 4 3 35 35 H 1.09001 * 109.46902 * 60.00345 * 6 5 4 36 36 H 1.08993 * 109.47243 * 300.00020 * 6 5 4 37 37 H 1.09001 * 109.46782 * 60.00667 * 7 6 5 38 38 H 1.08993 * 109.47555 * 300.00224 * 7 6 5 39 39 H 1.08998 * 109.47416 * 209.99869 * 11 10 8 40 40 H 1.09008 * 109.47058 * 330.00468 * 11 10 8 41 41 H 0.97008 * 119.99482 * 180.02562 * 15 14 12 42 42 H 1.08997 * 109.46865 * 210.00034 * 20 10 8 43 43 H 1.08998 * 109.47058 * 329.99547 * 20 10 8 44 44 H 1.08997 * 109.47172 * 299.99762 * 21 20 10 45 45 H 1.08998 * 109.47554 * 59.99767 * 21 20 10 46 46 H 1.09006 * 109.50603 * 297.54506 * 23 22 21 47 47 H 1.09003 * 109.50663 * 57.67164 * 23 22 21 48 48 H 1.08994 * 109.50511 * 296.91476 * 24 23 22 49 49 H 1.08995 * 109.54235 * 176.80143 * 24 23 22 50 50 H 1.08996 * 109.50161 * 298.73680 * 26 25 24 51 51 H 1.09002 * 109.54009 * 178.63053 * 26 25 24 52 52 H 1.08999 * 109.50620 * 302.32609 * 27 22 21 53 53 H 1.08999 * 109.51226 * 62.41126 * 27 22 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 6 1.1740 0.0000 0.0000 3 6 2.6459 0.0007 0.0000 4 6 3.1556 0.7706 -1.2199 5 6 4.6856 0.7708 -1.2203 6 6 5.1953 1.5413 -2.4399 7 6 6.7253 1.5420 -2.4398 8 6 7.2272 2.3004 -3.6414 9 8 6.4389 2.7878 -4.4237 10 7 8.5523 2.4320 -3.8500 11 6 9.5046 1.8428 -2.9054 12 6 9.8322 0.4358 -3.3342 13 1 9.3764 0.0217 -4.2213 14 6 10.7131 -0.3232 -2.5933 15 7 10.9994 -1.5510 -2.9678 16 14 11.5000 0.3923 -1.0576 17 1 10.6441 0.0986 0.1198 18 1 12.8404 -0.2154 -0.8591 19 1 11.6410 1.8624 -1.2127 20 6 9.0403 3.1642 -5.0213 21 6 9.2090 4.6425 -4.6648 22 7 9.6989 5.3765 -5.8391 23 6 11.0605 4.9520 -6.1956 24 6 11.5079 5.6965 -7.4563 25 8 11.4227 7.1056 -7.2271 26 6 10.1102 7.5539 -6.8783 27 6 9.6487 6.8281 -5.6118 28 1 -1.0502 0.0001 0.0002 29 1 3.0097 -1.0261 -0.0404 30 1 3.0091 0.4793 0.9095 31 1 2.7919 1.7973 -1.1796 32 1 2.7925 0.2920 -2.1294 33 1 5.0490 -0.2560 -1.2608 34 1 5.0491 1.2492 -0.3108 35 1 4.8319 2.5682 -2.3987 36 1 4.8318 1.0634 -3.3495 37 1 7.0890 0.5153 -2.4808 38 1 7.0885 2.0201 -1.5302 39 1 10.4167 2.4394 -2.8892 40 1 9.0639 1.8255 -1.9085 41 1 11.6189 -2.0851 -2.4463 42 1 10.0009 2.7535 -5.3322 43 1 8.3226 3.0664 -5.8358 44 1 8.2484 5.0532 -4.3538 45 1 9.9267 4.7402 -3.8502 46 1 11.7404 5.1835 -5.3755 47 1 11.0694 3.8784 -6.3844 48 1 10.8603 5.4234 -8.2893 49 1 12.5375 5.4278 -7.6924 50 1 9.4220 7.3348 -7.6946 51 1 10.1284 8.6284 -6.6960 52 1 8.6269 7.1242 -5.3745 53 1 10.3053 7.0896 -4.7820 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 ZINC000780546111.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 19:36:16 Heat of formation + Delta-G solvation = -44.240286 kcal Electronic energy + Delta-G solvation = -29100.328470 eV Core-core repulsion = 25165.903860 eV Total energy + Delta-G solvation = -3934.424610 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.81 seconds Orbital eigenvalues (eV) -39.73225 -39.14705 -36.58835 -36.09626 -34.88987 -33.80105 -32.60390 -31.35194 -31.15910 -29.93112 -27.84468 -27.37735 -25.73420 -24.08028 -23.14504 -22.57365 -21.62867 -20.78951 -20.34854 -18.21473 -18.11787 -17.16855 -16.65323 -16.33189 -16.17443 -15.90286 -15.53072 -15.15791 -15.02730 -14.94161 -14.45764 -14.37846 -14.18700 -13.88738 -13.45268 -13.36777 -13.25391 -12.89247 -12.48816 -12.41550 -12.21622 -12.05388 -11.89538 -11.71108 -11.51746 -11.44531 -11.26422 -11.00030 -10.96032 -10.84080 -10.78018 -10.68318 -10.44757 -10.31797 -10.26726 -10.19299 -10.18721 -9.78325 -9.66084 -9.09675 -8.77703 -8.41209 -7.80844 -6.26945 -4.28929 2.69028 2.71833 3.11842 3.19784 3.21709 3.32565 3.49808 3.77759 4.09452 4.20841 4.24710 4.79941 4.91827 4.95506 4.95552 4.98147 5.03387 5.07208 5.13180 5.19947 5.28455 5.38062 5.42292 5.47888 5.49628 5.50327 5.57558 5.70416 5.72914 5.75932 5.78792 5.81237 5.88042 5.90260 5.93505 6.02657 6.06717 6.16948 6.24813 6.28857 6.38054 6.39803 6.54068 6.61806 6.66361 6.93264 6.95314 7.05555 7.30890 7.38878 7.49360 8.08585 8.36127 8.78037 8.91399 9.32309 10.85600 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.008033 B = 0.002799 C = 0.002174 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3484.764593 B = 9999.434727 C =12877.282121 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.224 4.224 2 C -0.179 4.179 3 C -0.017 4.017 4 C -0.113 4.113 5 C -0.121 4.121 6 C -0.100 4.100 7 C -0.138 4.138 8 C 0.518 3.482 9 O -0.568 6.568 10 N -0.593 5.593 11 C 0.209 3.791 12 C -0.541 4.541 13 H 0.079 0.921 14 C 0.077 3.923 15 N -0.889 5.889 16 Si 0.870 3.130 17 H -0.272 1.272 18 H -0.283 1.283 19 H -0.266 1.266 20 C 0.125 3.875 21 C 0.045 3.955 22 N -0.533 5.533 23 C 0.011 3.989 24 C 0.065 3.935 25 O -0.389 6.389 26 C 0.065 3.935 27 C 0.019 3.981 28 H 0.215 0.785 29 H 0.088 0.912 30 H 0.086 0.914 31 H 0.064 0.936 32 H 0.066 0.934 33 H 0.068 0.932 34 H 0.063 0.937 35 H 0.063 0.937 36 H 0.067 0.933 37 H 0.107 0.893 38 H 0.084 0.916 39 H 0.030 0.970 40 H 0.031 0.969 41 H 0.267 0.733 42 H 0.077 0.923 43 H 0.083 0.917 44 H 0.076 0.924 45 H 0.035 0.965 46 H 0.043 0.957 47 H 0.094 0.906 48 H 0.060 0.940 49 H 0.098 0.902 50 H 0.059 0.941 51 H 0.095 0.905 52 H 0.085 0.915 53 H 0.040 0.960 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.371 11.012 1.078 13.295 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 -0.241 4.241 2 C -0.179 4.179 3 C -0.054 4.054 4 C -0.150 4.150 5 C -0.159 4.159 6 C -0.138 4.138 7 C -0.178 4.178 8 C 0.307 3.693 9 O -0.449 6.449 10 N -0.323 5.323 11 C 0.088 3.912 12 C -0.579 4.579 13 H 0.097 0.903 14 C -0.127 4.127 15 N -0.527 5.527 16 Si 0.697 3.303 17 H -0.198 1.198 18 H -0.209 1.209 19 H -0.191 1.191 20 C 0.001 3.999 21 C -0.084 4.084 22 N -0.258 5.258 23 C -0.117 4.117 24 C -0.012 4.012 25 O -0.308 6.308 26 C -0.012 4.012 27 C -0.110 4.110 28 H 0.232 0.768 29 H 0.106 0.894 30 H 0.104 0.896 31 H 0.083 0.917 32 H 0.085 0.915 33 H 0.087 0.913 34 H 0.082 0.918 35 H 0.081 0.919 36 H 0.086 0.914 37 H 0.125 0.875 38 H 0.103 0.897 39 H 0.048 0.952 40 H 0.049 0.951 41 H 0.077 0.923 42 H 0.096 0.904 43 H 0.101 0.899 44 H 0.095 0.905 45 H 0.053 0.947 46 H 0.061 0.939 47 H 0.112 0.888 48 H 0.078 0.922 49 H 0.116 0.884 50 H 0.078 0.922 51 H 0.113 0.887 52 H 0.103 0.897 53 H 0.059 0.941 Dipole moment (debyes) X Y Z Total from point charges -7.779 11.101 0.315 13.559 hybrid contribution 0.778 0.067 1.727 1.895 sum -7.001 11.168 2.042 13.338 Atomic orbital electron populations 1.24875 0.95972 1.01722 1.01489 1.23317 0.94751 0.99872 0.99948 1.18845 0.84364 1.02192 0.99988 1.21541 0.95976 1.00405 0.97122 1.21637 0.94150 1.01372 0.98744 1.21306 0.93878 1.00677 0.97964 1.21669 0.96336 1.03074 0.96728 1.20605 0.81933 0.79529 0.87185 1.90606 1.55380 1.50759 1.48161 1.47897 1.06114 1.52645 1.25672 1.19805 0.88259 0.94703 0.88429 1.21369 1.27331 0.96099 1.13130 0.90323 1.24874 0.95830 0.94605 0.97355 1.69895 1.34765 1.08615 1.39379 0.86947 0.79552 0.79864 0.83967 1.19755 1.20864 1.19056 1.21176 1.00755 0.88967 0.88970 1.22511 0.99955 0.95471 0.90464 1.62131 1.22407 1.04035 1.37250 1.22896 0.89204 1.01575 0.97989 1.22684 1.01863 0.80390 0.96303 1.87958 1.29651 1.23292 1.89882 1.22641 0.84506 0.98296 0.95756 1.22762 1.01911 0.88526 0.97789 0.76831 0.89394 0.89569 0.91690 0.91507 0.91331 0.91826 0.91871 0.91427 0.87505 0.89731 0.95219 0.95130 0.92324 0.90423 0.89870 0.90538 0.94684 0.93864 0.88758 0.92163 0.88440 0.92236 0.88698 0.89698 0.94139 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.22 -2.23 19.25 29.55 0.57 -1.66 16 2 C -0.18 -1.99 13.34 -37.12 -0.50 -2.48 16 3 C -0.02 -0.17 5.70 -29.52 -0.17 -0.34 16 4 C -0.11 -1.20 5.17 -26.73 -0.14 -1.34 16 5 C -0.12 -1.40 5.21 -26.73 -0.14 -1.54 16 6 C -0.10 -1.44 4.50 -26.73 -0.12 -1.56 16 7 C -0.14 -2.31 4.26 -27.88 -0.12 -2.43 16 8 C 0.52 10.18 7.67 -10.98 -0.08 10.09 16 9 O -0.57 -12.23 15.56 5.56 0.09 -12.14 16 10 N -0.59 -11.71 2.46 -175.06 -0.43 -12.14 16 11 C 0.21 4.44 4.03 -5.19 -0.02 4.42 16 12 C -0.54 -13.75 9.82 -34.44 -0.34 -14.09 16 13 H 0.08 2.26 8.06 -52.49 -0.42 1.84 16 14 C 0.08 2.02 5.47 -17.82 -0.10 1.92 16 15 N -0.89 -25.18 13.96 55.43 0.77 -24.41 16 16 Si 0.87 19.22 27.47 -169.99 -4.67 14.55 16 17 H -0.27 -5.86 7.11 56.52 0.40 -5.46 16 18 H -0.28 -6.34 7.11 56.52 0.40 -5.94 16 19 H -0.27 -5.59 6.54 56.52 0.37 -5.22 16 20 C 0.13 2.24 5.34 -4.04 -0.02 2.22 16 21 C 0.04 0.69 5.28 -3.82 -0.02 0.67 16 22 N -0.53 -7.37 4.73 -234.31 -1.11 -8.48 16 23 C 0.01 0.15 5.44 -3.71 -0.02 0.13 16 24 C 0.06 0.74 7.01 37.21 0.26 1.00 16 25 O -0.39 -4.89 10.83 -35.23 -0.38 -5.27 16 26 C 0.07 0.69 7.01 37.21 0.26 0.95 16 27 C 0.02 0.22 5.64 -3.71 -0.02 0.20 16 28 H 0.21 1.38 7.80 -54.08 -0.42 0.96 16 29 H 0.09 0.79 8.14 -51.93 -0.42 0.37 16 30 H 0.09 0.74 8.14 -51.93 -0.42 0.32 16 31 H 0.06 0.69 8.14 -51.93 -0.42 0.27 16 32 H 0.07 0.74 8.14 -51.93 -0.42 0.32 16 33 H 0.07 0.80 8.14 -51.93 -0.42 0.38 16 34 H 0.06 0.68 8.14 -51.93 -0.42 0.25 16 35 H 0.06 0.92 8.10 -51.93 -0.42 0.50 16 36 H 0.07 1.05 8.10 -51.93 -0.42 0.63 16 37 H 0.11 1.94 7.99 -51.93 -0.42 1.52 16 38 H 0.08 1.28 7.39 -51.93 -0.38 0.90 16 39 H 0.03 0.63 7.13 -51.93 -0.37 0.26 16 40 H 0.03 0.62 5.87 -51.92 -0.30 0.31 16 41 H 0.27 7.09 8.31 -40.82 -0.34 6.75 16 42 H 0.08 1.40 6.44 -51.93 -0.33 1.06 16 43 H 0.08 1.59 7.42 -51.93 -0.39 1.20 16 44 H 0.08 1.24 8.04 -51.93 -0.42 0.82 16 45 H 0.03 0.55 8.12 -51.93 -0.42 0.13 16 46 H 0.04 0.58 8.14 -51.93 -0.42 0.16 16 47 H 0.09 1.24 6.38 -51.93 -0.33 0.91 16 48 H 0.06 0.67 8.14 -51.93 -0.42 0.24 16 49 H 0.10 0.94 8.14 -51.93 -0.42 0.52 16 50 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 51 H 0.09 0.80 8.14 -51.93 -0.42 0.38 16 52 H 0.08 0.92 8.09 -51.93 -0.42 0.50 16 53 H 0.04 0.49 8.14 -51.93 -0.42 0.07 16 LS Contribution 426.87 15.07 6.43 6.43 Total: -1.00 -30.44 426.87 -9.72 -40.16 By element: Atomic # 1 Polarization: 14.86 SS G_CDS: -9.71 Total: 5.15 kcal Atomic # 6 Polarization: -3.13 SS G_CDS: -0.71 Total: -3.84 kcal Atomic # 7 Polarization: -44.26 SS G_CDS: -0.76 Total: -45.03 kcal Atomic # 8 Polarization: -17.12 SS G_CDS: -0.29 Total: -17.42 kcal Atomic # 14 Polarization: 19.22 SS G_CDS: -4.67 Total: 14.55 kcal Total LS contribution 6.43 Total: 6.43 kcal Total: -30.44 -9.72 -40.16 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. ZINC000780546111.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 -4.085 kcal (2) G-P(sol) polarization free energy of solvation -30.436 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -34.521 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.719 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.155 kcal (6) G-S(sol) free energy of system = (1) + (5) -44.240 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.81 seconds