Wall clock time and date at job start Wed Apr 1 2020 00:32:49 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 1.52995 * 1 3 3 H 1.09003 * 110.64021 * 2 1 4 4 C 1.54327 * 110.87088 * 236.75927 * 2 1 3 5 5 N 1.47025 * 107.26904 * 219.37180 * 4 2 1 6 6 C 1.36938 * 125.64783 * 178.98454 * 5 4 2 7 7 H 1.07999 * 120.00412 * 174.78364 * 6 5 4 8 8 C 1.38814 * 119.99976 * 354.78925 * 6 5 4 9 9 N 1.31620 * 120.00051 * 7.04833 * 8 6 5 10 10 Si 1.86805 * 119.99804 * 187.05333 * 8 6 5 11 11 H 1.48497 * 109.46890 * 94.98435 * 10 8 6 12 12 H 1.48501 * 109.46610 * 214.98131 * 10 8 6 13 13 H 1.48500 * 109.47236 * 334.98247 * 10 8 6 14 14 C 1.47423 * 108.70707 * 358.93431 * 5 4 2 15 15 C 1.54916 * 104.82920 * 24.13242 * 14 5 4 16 16 H 1.08999 * 111.03855 * 81.07759 * 15 14 5 17 17 C 1.52998 * 111.00538 * 204.91695 * 15 14 5 18 18 C 1.53001 * 109.46858 * 287.19246 * 17 15 14 19 19 N 1.46506 * 109.47186 * 179.97438 * 18 17 15 20 20 C 1.34766 * 119.99981 * 180.02562 * 19 18 17 21 21 O 1.21281 * 120.00393 * 0.02562 * 20 19 18 22 22 C 1.50698 * 119.99823 * 180.02562 * 20 19 18 23 23 O 1.42907 * 109.47205 * 180.02562 * 22 20 19 24 24 C 1.42899 * 114.00227 * 180.02562 * 23 22 20 25 25 C 1.53176 * 109.54501 * 269.55831 * 24 23 22 26 26 C 1.53089 * 109.16572 * 183.14870 * 25 24 23 27 27 O 1.42901 * 109.41390 * 57.60847 * 26 25 24 28 28 C 1.42902 * 114.09780 * 298.84489 * 27 26 25 29 29 C 1.53099 * 109.41854 * 61.15456 * 28 27 26 30 30 H 1.09001 * 109.46747 * 296.84842 * 1 2 3 31 31 H 1.08996 * 109.47686 * 56.85537 * 1 2 3 32 32 H 1.09008 * 109.46931 * 176.85570 * 1 2 3 33 33 H 1.09002 * 109.88014 * 338.78338 * 4 2 1 34 34 H 1.08994 * 109.88724 * 99.95590 * 4 2 1 35 35 H 0.96999 * 119.99744 * 180.02562 * 9 8 6 36 36 H 1.08993 * 110.36936 * 265.29687 * 14 5 4 37 37 H 1.08996 * 110.36774 * 142.96858 * 14 5 4 38 38 H 1.08995 * 109.47141 * 167.19571 * 17 15 14 39 39 H 1.09000 * 109.47047 * 47.19578 * 17 15 14 40 40 H 1.09009 * 109.47067 * 60.00213 * 18 17 15 41 41 H 1.09000 * 109.47563 * 300.00016 * 18 17 15 42 42 H 0.96998 * 119.99497 * 0.02562 * 19 18 17 43 43 H 1.09002 * 109.47348 * 60.00087 * 22 20 19 44 44 H 1.08999 * 109.47425 * 299.99689 * 22 20 19 45 45 H 1.09007 * 109.61267 * 29.77783 * 24 23 22 46 46 H 1.08999 * 109.52468 * 303.05686 * 25 24 23 47 47 H 1.09007 * 109.52383 * 63.24307 * 25 24 23 48 48 H 1.08998 * 109.48069 * 297.62846 * 26 25 24 49 49 H 1.08999 * 109.49033 * 177.59570 * 26 25 24 50 50 H 1.08997 * 109.47996 * 301.17122 * 28 27 26 51 51 H 1.08998 * 109.49488 * 181.14707 * 28 27 26 52 52 H 1.08994 * 109.51891 * 182.48531 * 29 28 27 53 53 H 1.08998 * 109.51531 * 62.30105 * 29 28 27 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 1.5300 0.0000 0.0000 3 1 1.9142 1.0201 0.0000 4 6 2.0798 -0.7904 -1.2061 5 7 3.2494 -1.5469 -0.7356 6 6 4.0125 -2.3916 -1.4968 7 1 4.9036 -2.8374 -1.0802 8 6 3.6408 -2.6746 -2.8039 9 7 2.6373 -2.0275 -3.3576 10 14 4.5649 -3.9740 -3.7771 11 1 3.8535 -5.2730 -3.6683 12 1 4.6361 -3.5666 -5.2034 13 1 5.9395 -4.1154 -3.2334 14 6 3.4653 -1.2447 0.6911 15 6 2.0790 -0.7935 1.2151 16 1 1.4466 -1.6526 1.4387 17 6 2.2238 0.1110 2.4405 18 6 2.6469 -0.7291 3.6472 19 7 2.7861 0.1371 4.8206 20 6 3.1538 -0.3881 6.0060 21 8 3.3700 -1.5777 6.1014 22 6 3.2964 0.5027 7.2131 23 8 3.6930 -0.2817 8.3399 24 6 3.8566 0.4710 9.5435 25 6 5.3049 0.9582 9.6503 26 6 5.4904 1.6956 10.9790 27 8 5.1479 0.8237 12.0580 28 6 3.7917 0.3738 12.0366 29 6 3.5378 -0.4167 10.7503 30 1 -0.3633 0.4641 0.9169 31 1 -0.3634 0.5618 -0.8604 32 1 -0.3633 -1.0262 -0.0564 33 1 1.3189 -1.4772 -1.5771 34 1 2.3774 -0.1014 -1.9964 35 1 2.3774 -2.2255 -4.2709 36 1 4.1930 -0.4409 0.8027 37 1 3.7994 -2.1364 1.2215 38 1 1.2693 0.5937 2.6506 39 1 2.9798 0.8712 2.2438 40 1 3.6015 -1.2118 3.4371 41 1 1.8909 -1.4892 3.8440 42 1 2.6136 1.0885 4.7442 43 1 2.3418 0.9850 7.4236 44 1 4.0521 1.2631 7.0163 45 1 3.1834 1.3282 9.5334 46 1 5.9806 0.1038 9.6104 47 1 5.5233 1.6353 8.8243 48 1 4.8439 2.5728 11.0012 49 1 6.5300 2.0076 11.0797 50 1 3.1229 1.2337 12.0728 51 1 3.6072 -0.2665 12.8992 52 1 2.4925 -0.7230 10.7114 53 1 4.1777 -1.2989 10.7328 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 ZINC001103487897.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:32:49 Heat of formation + Delta-G solvation = -119.946440 kcal Electronic energy + Delta-G solvation = -29384.407482 eV Core-core repulsion = 25256.243955 eV Total energy + Delta-G solvation = -4128.163527 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.24 seconds Orbital eigenvalues (eV) -40.29108 -39.62638 -38.21482 -37.57366 -35.25385 -33.25934 -32.98908 -31.65820 -31.33402 -30.66225 -28.62361 -26.54990 -25.60345 -24.72137 -24.13092 -23.85927 -22.01845 -21.06759 -20.72612 -19.76070 -19.21866 -17.73151 -17.26747 -16.80589 -16.68157 -16.48282 -16.26053 -15.59390 -15.38062 -15.25122 -14.88522 -14.39930 -14.36421 -14.07660 -13.86377 -13.60191 -13.36579 -13.09646 -12.97487 -12.82948 -12.55593 -12.31118 -11.92081 -11.89785 -11.78797 -11.70171 -11.42831 -11.35232 -11.22370 -11.06710 -10.91220 -10.77296 -10.73893 -10.23382 -10.07659 -10.02678 -9.96190 -9.86882 -9.82663 -9.62008 -9.48807 -9.15870 -8.54332 -6.78111 -5.68987 -3.00642 2.45822 2.52298 3.34883 3.42719 3.48237 3.49778 3.57156 4.19119 4.24280 4.42585 4.47279 4.53299 4.57353 4.66955 4.68636 4.78206 4.86019 4.89986 4.94536 5.09003 5.09727 5.16239 5.26873 5.30433 5.47914 5.48545 5.50882 5.59037 5.63806 5.69586 5.70511 5.74447 5.92310 5.99014 6.09027 6.22105 6.24298 6.31802 6.36821 6.51903 6.64182 6.64986 6.66539 6.68173 6.80750 7.02506 7.33186 7.60345 7.68824 7.87234 8.07745 8.30157 9.26105 9.86785 10.53635 11.43095 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.021741 B = 0.001612 C = 0.001543 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1287.558647 B =17370.530663 C =18146.993844 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.133 4.133 2 C -0.114 4.114 3 H 0.063 0.937 4 C 0.183 3.817 5 N -0.607 5.607 6 C -0.227 4.227 7 H 0.077 0.923 8 C -0.008 4.008 9 N -0.920 5.920 10 Si 0.909 3.091 11 H -0.289 1.289 12 H -0.292 1.292 13 H -0.281 1.281 14 C 0.139 3.861 15 C -0.096 4.096 16 H 0.077 0.923 17 C -0.115 4.115 18 C 0.119 3.881 19 N -0.728 5.728 20 C 0.509 3.491 21 O -0.517 6.517 22 C 0.044 3.956 23 O -0.352 6.352 24 C 0.088 3.912 25 C -0.181 4.181 26 C 0.064 3.936 27 O -0.382 6.382 28 C 0.064 3.936 29 C -0.154 4.154 30 H 0.042 0.958 31 H 0.051 0.949 32 H 0.053 0.947 33 H 0.049 0.951 34 H 0.037 0.963 35 H 0.251 0.749 36 H 0.016 0.984 37 H 0.038 0.962 38 H 0.065 0.935 39 H 0.068 0.932 40 H 0.073 0.927 41 H 0.068 0.932 42 H 0.399 0.601 43 H 0.079 0.921 44 H 0.079 0.921 45 H 0.063 0.937 46 H 0.084 0.916 47 H 0.076 0.924 48 H 0.051 0.949 49 H 0.098 0.902 50 H 0.052 0.948 51 H 0.101 0.899 52 H 0.082 0.918 53 H 0.084 0.916 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.152 12.988 27.976 30.919 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 -0.191 4.191 2 C -0.133 4.133 3 H 0.082 0.918 4 C 0.058 3.942 5 N -0.333 5.333 6 C -0.356 4.356 7 H 0.095 0.905 8 C -0.205 4.205 9 N -0.568 5.568 10 Si 0.740 3.260 11 H -0.216 1.216 12 H -0.218 1.218 13 H -0.207 1.207 14 C 0.013 3.987 15 C -0.116 4.116 16 H 0.095 0.905 17 C -0.154 4.154 18 C -0.003 4.003 19 N -0.382 5.382 20 C 0.294 3.706 21 O -0.391 6.391 22 C -0.037 4.037 23 O -0.270 6.270 24 C 0.030 3.970 25 C -0.219 4.219 26 C -0.013 4.013 27 O -0.300 6.300 28 C -0.012 4.012 29 C -0.192 4.192 30 H 0.061 0.939 31 H 0.070 0.930 32 H 0.073 0.927 33 H 0.067 0.933 34 H 0.055 0.945 35 H 0.062 0.938 36 H 0.034 0.966 37 H 0.056 0.944 38 H 0.084 0.916 39 H 0.087 0.913 40 H 0.091 0.909 41 H 0.087 0.913 42 H 0.233 0.767 43 H 0.097 0.903 44 H 0.097 0.903 45 H 0.081 0.919 46 H 0.103 0.897 47 H 0.094 0.906 48 H 0.070 0.930 49 H 0.116 0.884 50 H 0.070 0.930 51 H 0.119 0.881 52 H 0.101 0.899 53 H 0.103 0.897 Dipole moment (debyes) X Y Z Total from point charges -1.813 11.749 27.948 30.371 hybrid contribution 0.136 0.215 -1.025 1.056 sum -1.676 11.963 26.923 29.509 Atomic orbital electron populations 1.21675 0.95575 1.01574 1.00227 1.22475 0.94928 0.98903 0.97043 0.91833 1.21212 0.89212 0.93022 0.90767 1.44474 1.32530 1.51701 1.04585 1.19079 1.04264 1.18453 0.93779 0.90476 1.24814 0.98553 0.99962 0.97125 1.69983 1.30215 1.42858 1.13757 0.86135 0.78945 0.81632 0.79317 1.21642 1.21817 1.20651 1.21622 0.93270 0.97103 0.86704 1.22334 0.98937 0.97601 0.92684 0.90490 1.21744 1.01418 0.98491 0.93725 1.21517 1.02429 0.93116 0.83270 1.45963 1.70701 1.12191 1.09325 1.20186 0.77570 0.88930 0.83943 1.90763 1.47990 1.15795 1.84580 1.22267 1.00838 0.93739 0.86815 1.88095 1.89013 1.33483 1.16431 1.22168 0.95579 0.94172 0.85116 1.22768 0.98194 1.02272 0.98689 1.22562 1.01596 0.91654 0.85471 1.87961 1.28408 1.66004 1.47672 1.22594 0.83377 0.97737 0.97531 1.22303 1.03639 1.00092 0.93181 0.93851 0.93006 0.92748 0.93304 0.94456 0.93843 0.96610 0.94400 0.91608 0.91308 0.90872 0.91340 0.76727 0.90311 0.90344 0.91855 0.89705 0.90554 0.93050 0.88359 0.92983 0.88106 0.89939 0.89711 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -0.13 -2.02 9.17 37.16 0.34 -1.68 16 2 C -0.11 -2.03 3.01 -88.78 -0.27 -2.30 16 3 H 0.06 1.07 8.04 -51.93 -0.42 0.66 16 4 C 0.18 4.41 4.98 -3.06 -0.02 4.39 16 5 N -0.61 -15.66 3.39 -170.07 -0.58 -16.24 16 6 C -0.23 -6.46 10.27 -15.06 -0.15 -6.62 16 7 H 0.08 2.13 7.84 -52.49 -0.41 1.72 16 8 C -0.01 -0.24 5.48 -17.43 -0.10 -0.34 16 9 N -0.92 -27.31 10.36 55.49 0.57 -26.74 16 10 Si 0.91 22.48 29.56 -169.99 -5.02 17.45 16 11 H -0.29 -7.16 7.11 56.52 0.40 -6.76 16 12 H -0.29 -7.24 7.11 56.52 0.40 -6.84 16 13 H -0.28 -6.77 7.11 56.52 0.40 -6.37 16 14 C 0.14 2.86 6.19 -2.53 -0.02 2.85 16 15 C -0.10 -1.58 2.45 -88.47 -0.22 -1.79 16 16 H 0.08 1.32 8.05 -51.93 -0.42 0.90 16 17 C -0.12 -1.38 4.84 -26.73 -0.13 -1.51 16 18 C 0.12 1.48 5.58 -4.04 -0.02 1.46 16 19 N -0.73 -7.20 5.56 -60.29 -0.33 -7.54 16 20 C 0.51 6.13 7.91 -10.99 -0.09 6.04 16 21 O -0.52 -8.98 16.50 -14.35 -0.24 -9.22 16 22 C 0.04 0.36 6.23 36.00 0.22 0.58 16 23 O -0.35 -3.76 9.53 -55.14 -0.53 -4.29 16 24 C 0.09 0.64 2.70 -26.55 -0.07 0.57 16 25 C -0.18 -1.20 5.76 -26.59 -0.15 -1.36 16 26 C 0.06 0.37 6.84 37.20 0.25 0.62 16 27 O -0.38 -2.99 10.77 -35.23 -0.38 -3.37 16 28 C 0.06 0.37 6.84 37.21 0.25 0.62 16 29 C -0.15 -1.07 5.79 -26.59 -0.15 -1.23 16 30 H 0.04 0.54 8.09 -51.93 -0.42 0.12 16 31 H 0.05 0.77 8.14 -51.93 -0.42 0.35 16 32 H 0.05 0.87 8.07 -51.92 -0.42 0.46 16 33 H 0.05 1.31 6.93 -51.93 -0.36 0.95 16 34 H 0.04 1.00 7.61 -51.93 -0.40 0.61 16 35 H 0.25 7.24 8.31 -40.82 -0.34 6.90 16 36 H 0.02 0.33 7.91 -51.93 -0.41 -0.08 16 37 H 0.04 0.78 8.14 -51.93 -0.42 0.36 16 38 H 0.07 0.68 8.08 -51.93 -0.42 0.26 16 39 H 0.07 0.80 7.96 -51.93 -0.41 0.38 16 40 H 0.07 1.05 7.75 -51.92 -0.40 0.65 16 41 H 0.07 0.92 8.14 -51.93 -0.42 0.50 16 42 H 0.40 2.53 8.47 -40.82 -0.35 2.19 16 43 H 0.08 0.43 8.09 -51.93 -0.42 0.01 16 44 H 0.08 0.45 7.99 -51.93 -0.42 0.03 16 45 H 0.06 0.34 7.79 -51.92 -0.40 -0.07 16 46 H 0.08 0.71 8.14 -51.93 -0.42 0.29 16 47 H 0.08 0.42 7.99 -51.92 -0.42 0.00 16 48 H 0.05 0.22 8.14 -51.93 -0.42 -0.20 16 49 H 0.10 0.46 8.14 -51.93 -0.42 0.04 16 50 H 0.05 0.22 8.14 -51.93 -0.42 -0.20 16 51 H 0.10 0.45 8.14 -51.93 -0.42 0.03 16 52 H 0.08 0.52 8.14 -51.93 -0.42 0.09 16 53 H 0.08 0.72 8.14 -51.93 -0.42 0.29 16 LS Contribution 417.41 15.07 6.29 6.29 Total: -1.00 -35.73 417.41 -10.37 -46.10 By element: Atomic # 1 Polarization: 7.10 SS G_CDS: -9.85 Total: -2.75 kcal Atomic # 6 Polarization: 0.61 SS G_CDS: -0.31 Total: 0.30 kcal Atomic # 7 Polarization: -50.18 SS G_CDS: -0.34 Total: -50.51 kcal Atomic # 8 Polarization: -15.74 SS G_CDS: -1.14 Total: -16.88 kcal Atomic # 14 Polarization: 22.48 SS G_CDS: -5.02 Total: 17.45 kcal Total LS contribution 6.29 Total: 6.29 kcal Total: -35.73 -10.37 -46.10 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. ZINC001103487897.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 -73.849 kcal (2) G-P(sol) polarization free energy of solvation -35.726 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -109.575 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.372 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -46.098 kcal (6) G-S(sol) free energy of system = (1) + (5) -119.946 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.24 seconds