Wall clock time and date at job start Sat Apr 11 2020 06:13:12 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 N 1.46895 * 1 3 3 C 1.46900 * 110.99637 * 2 1 4 4 C 1.46896 * 111.00348 * 123.95428 * 2 1 3 5 5 C 1.52997 * 109.47336 * 169.99887 * 4 2 1 6 6 C 1.50696 * 109.47327 * 180.02562 * 5 4 2 7 7 O 1.21283 * 120.00025 * 0.02562 * 6 5 4 8 8 N 1.34779 * 120.00286 * 180.02562 * 6 5 4 9 9 C 1.46931 * 120.62785 * 359.97438 * 8 6 5 10 10 C 1.53194 * 108.77629 * 126.41058 * 9 8 6 11 11 C 1.53039 * 109.31026 * 54.63121 * 10 9 8 12 12 C 1.53037 * 109.54101 * 298.63204 * 11 10 9 13 13 H 1.08999 * 109.50017 * 301.41283 * 12 11 10 14 14 N 1.46902 * 109.49945 * 181.31934 * 12 11 10 15 15 C 1.46905 * 110.99706 * 299.11599 * 14 12 11 16 16 C 1.46891 * 111.00254 * 175.16352 * 14 12 11 17 17 C 1.50698 * 109.47308 * 190.00005 * 16 14 12 18 18 O 1.21293 * 120.00250 * 359.97438 * 17 16 14 19 19 N 1.34783 * 119.99868 * 180.02562 * 17 16 14 20 20 C 1.37100 * 119.99504 * 179.97438 * 19 17 16 21 21 H 1.08000 * 120.00279 * 0.02562 * 20 19 17 22 22 C 1.38949 * 119.99425 * 179.97438 * 20 19 17 23 23 N 1.31412 * 120.00427 * 0.02562 * 22 20 19 24 24 Si 1.86805 * 119.99692 * 179.97438 * 22 20 19 25 25 H 1.48506 * 109.46949 * 60.00821 * 24 22 20 26 26 H 1.48497 * 109.47136 * 180.02562 * 24 22 20 27 27 H 1.48497 * 109.47470 * 300.00545 * 24 22 20 28 28 C 1.46922 * 120.63168 * 179.97438 * 8 6 5 29 29 H 1.08999 * 109.47500 * 296.04462 * 1 2 3 30 30 H 1.09003 * 109.47526 * 56.04309 * 1 2 3 31 31 H 1.09003 * 109.46941 * 176.04715 * 1 2 3 32 32 H 1.09004 * 109.47095 * 183.95452 * 3 2 1 33 33 H 1.08994 * 109.47439 * 303.95351 * 3 2 1 34 34 H 1.08994 * 109.47248 * 63.95691 * 3 2 1 35 35 H 1.09001 * 109.46991 * 50.00357 * 4 2 1 36 36 H 1.08993 * 109.47050 * 290.00369 * 4 2 1 37 37 H 1.09003 * 109.46944 * 59.99818 * 5 4 2 38 38 H 1.09001 * 109.47585 * 300.00516 * 5 4 2 39 39 H 1.09000 * 109.57916 * 246.19424 * 9 8 6 40 40 H 1.08992 * 109.58752 * 6.47629 * 9 8 6 41 41 H 1.09000 * 109.49137 * 174.58300 * 10 9 8 42 42 H 1.08993 * 109.49811 * 294.64709 * 10 9 8 43 43 H 1.09000 * 109.46006 * 178.60912 * 11 10 9 44 44 H 1.09006 * 109.46060 * 58.65927 * 11 10 9 45 45 H 1.08997 * 109.47362 * 60.00366 * 15 14 12 46 46 H 1.09006 * 109.47009 * 179.97438 * 15 14 12 47 47 H 1.09000 * 109.47418 * 299.99801 * 15 14 12 48 48 H 1.09001 * 109.47379 * 310.00305 * 16 14 12 49 49 H 1.09005 * 109.47343 * 70.00069 * 16 14 12 50 50 H 0.96999 * 120.00300 * 359.97438 * 19 17 16 51 51 H 0.96997 * 119.99867 * 179.97438 * 23 22 20 52 52 H 1.08999 * 109.58543 * 113.80083 * 28 8 6 53 53 H 1.09003 * 109.70593 * 353.44277 * 28 8 6 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 7 1.4690 0.0000 0.0000 3 6 1.9953 1.3715 0.0000 4 6 1.9955 -0.7659 1.1375 5 6 3.5044 -0.9553 0.9702 6 6 4.0444 -1.7416 2.1369 7 8 3.2960 -2.1143 3.0154 8 7 5.3591 -2.0307 2.2040 9 6 6.2782 -1.5866 1.1471 10 6 7.4326 -0.8121 1.7909 11 6 8.0861 -1.6808 2.8681 12 6 7.0591 -2.0082 3.9544 13 1 6.6795 -1.0826 4.3871 14 7 7.6957 -2.8155 5.0037 15 6 8.1997 -4.0835 4.4593 16 6 6.7705 -3.0526 6.1197 17 6 7.5217 -3.6647 7.2738 18 8 8.7109 -3.8826 7.1761 19 7 6.8719 -3.9711 8.4142 20 6 7.5554 -4.5285 9.4639 21 1 8.6144 -4.7217 9.3771 22 6 6.8856 -4.8438 10.6398 23 7 5.5971 -4.6083 10.7456 24 14 7.8166 -5.6040 12.0698 25 1 8.8931 -4.6792 12.5071 26 1 6.8812 -5.8440 13.1979 27 1 8.4156 -6.8934 11.6412 28 6 5.9005 -2.7959 3.3353 29 1 -0.3634 0.4512 0.9233 30 1 -0.3634 0.5740 -0.8524 31 1 -0.3633 -1.0253 -0.0708 32 1 3.0827 1.3433 -0.0709 33 1 1.5897 1.9164 -0.8524 34 1 1.7043 1.8723 0.9233 35 1 1.5090 -1.7407 1.1755 36 1 1.7975 -0.2248 2.0627 37 1 3.9909 0.0194 0.9322 38 1 3.7024 -1.4965 0.0450 39 1 6.6710 -2.4538 0.6165 40 1 5.7467 -0.9405 0.4485 41 1 8.1707 -0.5599 1.0295 42 1 7.0495 0.1025 2.2433 43 1 8.9236 -1.1415 3.3108 44 1 8.4472 -2.6060 2.4189 45 1 8.9354 -3.8782 3.6817 46 1 8.6664 -4.6614 5.2571 47 1 7.3717 -4.6516 4.0353 48 1 6.3301 -2.1063 6.4339 49 1 5.9807 -3.7320 5.7990 50 1 5.9209 -3.7972 8.4923 51 1 5.1296 -4.8287 11.5663 52 1 6.2625 -3.7619 2.9833 53 1 5.1217 -2.9478 4.0826 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 ZINC001491947109.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 06:13:12 Heat of formation + Delta-G solvation = -51.982320 kcal Electronic energy + Delta-G solvation = -30566.776371 eV Core-core repulsion = 26473.852741 eV Total energy + Delta-G solvation = -4092.923630 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -40.64480 -38.99216 -37.96431 -37.41171 -35.73122 -33.83870 -32.64983 -31.86190 -31.20725 -29.86161 -27.97976 -27.86407 -26.32727 -25.46480 -24.59865 -24.07982 -22.21751 -21.61985 -19.95906 -19.12560 -18.98700 -17.79055 -17.59727 -16.45637 -16.31054 -15.95150 -15.50512 -15.24884 -15.09014 -14.98218 -14.78086 -14.69338 -14.37289 -14.04951 -13.85445 -13.66344 -13.52160 -13.08614 -13.04476 -12.94199 -12.74837 -12.70722 -12.19502 -12.07761 -12.07598 -11.84196 -11.60517 -11.46774 -11.34706 -11.32400 -11.25304 -11.09507 -10.94362 -10.81707 -10.49703 -10.41570 -10.17880 -9.95553 -9.43429 -9.04163 -8.78599 -8.37289 -7.93452 -7.75088 -6.37717 -3.78731 2.44669 2.69531 3.22398 3.27941 3.32165 3.56426 3.93562 3.96969 4.25228 4.34362 4.50414 4.59931 4.66808 4.69603 4.75733 4.78355 4.86926 4.99631 5.06394 5.12265 5.15158 5.15701 5.21965 5.25587 5.28910 5.36794 5.48764 5.49056 5.51338 5.53236 5.54858 5.63836 5.64477 5.71569 5.79534 5.82692 5.96862 5.99825 6.13801 6.16243 6.25841 6.32562 6.57444 6.57801 6.59275 7.17677 7.27630 7.39391 7.58399 7.99255 8.09767 8.65685 9.21524 9.58494 10.10275 10.79918 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.014673 B = 0.002221 C = 0.001980 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1907.757475 B =12602.113151 C =14140.530735 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 N -0.550 5.550 3 C 0.018 3.982 4 C 0.068 3.932 5 C -0.135 4.135 6 C 0.514 3.486 7 O -0.540 6.540 8 N -0.608 5.608 9 C 0.105 3.895 10 C -0.133 4.133 11 C -0.112 4.112 12 C 0.073 3.927 13 H 0.084 0.916 14 N -0.505 5.505 15 C 0.014 3.986 16 C 0.042 3.958 17 C 0.445 3.555 18 O -0.578 6.578 19 N -0.564 5.564 20 C -0.299 4.299 21 H 0.103 0.897 22 C 0.022 3.978 23 N -0.901 5.901 24 Si 0.931 3.069 25 H -0.274 1.274 26 H -0.285 1.285 27 H -0.274 1.274 28 C 0.074 3.926 29 H 0.027 0.973 30 H 0.068 0.932 31 H 0.070 0.930 32 H 0.069 0.931 33 H 0.068 0.932 34 H 0.027 0.973 35 H 0.083 0.917 36 H 0.044 0.956 37 H 0.093 0.907 38 H 0.101 0.899 39 H 0.070 0.930 40 H 0.085 0.915 41 H 0.079 0.921 42 H 0.068 0.932 43 H 0.078 0.922 44 H 0.067 0.933 45 H 0.063 0.937 46 H 0.097 0.903 47 H 0.018 0.982 48 H 0.087 0.913 49 H 0.049 0.951 50 H 0.392 0.608 51 H 0.272 0.728 52 H 0.071 0.929 53 H 0.094 0.906 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.722 10.649 -25.246 27.991 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 -0.123 4.123 2 N -0.274 5.274 3 C -0.130 4.130 4 C -0.060 4.060 5 C -0.175 4.175 6 C 0.301 3.699 7 O -0.416 6.416 8 N -0.342 5.342 9 C -0.018 4.018 10 C -0.172 4.172 11 C -0.150 4.150 12 C -0.037 4.037 13 H 0.102 0.898 14 N -0.227 5.227 15 C -0.133 4.133 16 C -0.089 4.089 17 C 0.230 3.770 18 O -0.463 6.463 19 N -0.200 5.200 20 C -0.428 4.428 21 H 0.120 0.880 22 C -0.180 4.180 23 N -0.543 5.543 24 Si 0.758 3.242 25 H -0.199 1.199 26 H -0.210 1.210 27 H -0.199 1.199 28 C -0.050 4.050 29 H 0.046 0.954 30 H 0.087 0.913 31 H 0.088 0.912 32 H 0.088 0.912 33 H 0.087 0.913 34 H 0.046 0.954 35 H 0.101 0.899 36 H 0.063 0.937 37 H 0.111 0.889 38 H 0.119 0.881 39 H 0.088 0.912 40 H 0.104 0.896 41 H 0.097 0.903 42 H 0.087 0.913 43 H 0.096 0.904 44 H 0.086 0.914 45 H 0.082 0.918 46 H 0.115 0.885 47 H 0.036 0.964 48 H 0.106 0.894 49 H 0.067 0.933 50 H 0.225 0.775 51 H 0.082 0.918 52 H 0.089 0.911 53 H 0.112 0.888 Dipole moment (debyes) X Y Z Total from point charges -4.898 10.291 -24.898 27.382 hybrid contribution -1.143 -0.284 1.225 1.700 sum -6.041 10.007 -23.673 26.401 Atomic orbital electron populations 1.22370 0.86862 1.02517 1.00600 1.61978 1.08270 1.13911 1.43217 1.22467 1.00951 0.88891 1.00685 1.21854 0.93454 0.99262 0.91433 1.21645 0.96928 1.01170 0.97755 1.20653 0.81661 0.79960 0.87601 1.90731 1.56812 1.53542 1.40558 1.48078 1.07142 1.55269 1.23738 1.21811 0.91276 0.99144 0.89550 1.21917 0.97412 0.99000 0.98870 1.21590 0.98255 1.00230 0.94955 1.22120 0.92434 0.97263 0.91885 0.89831 1.61888 1.35394 1.18728 1.06718 1.22648 0.98683 0.90711 1.01297 1.21905 0.93861 1.01056 0.92073 1.19698 0.88240 0.84799 0.84234 1.90476 1.15271 1.58307 1.82227 1.41870 1.11363 1.54768 1.12042 1.19641 0.95315 1.36567 0.91323 0.87964 1.25270 0.95744 0.97949 0.99045 1.69610 1.07943 1.48195 1.28516 0.85919 0.78807 0.79533 0.79946 1.19907 1.21012 1.19943 1.22489 0.97993 0.95149 0.89334 0.95429 0.91271 0.91166 0.91189 0.91310 0.95429 0.89851 0.93732 0.88897 0.88092 0.91168 0.89623 0.90293 0.91327 0.90358 0.91425 0.91844 0.88482 0.96409 0.89441 0.93254 0.77455 0.91829 0.91063 0.88783 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 0.02 0.17 9.57 60.06 0.57 0.74 16 2 N -0.55 -4.30 5.02 -251.27 -1.26 -5.56 16 3 C 0.02 0.11 9.32 60.06 0.56 0.67 16 4 C 0.07 0.62 4.25 -3.83 -0.02 0.61 16 5 C -0.13 -1.08 3.97 -27.89 -0.11 -1.19 16 6 C 0.51 6.01 7.70 -10.99 -0.08 5.93 16 7 O -0.54 -8.65 15.40 5.55 0.09 -8.56 16 8 N -0.61 -6.40 2.97 -172.78 -0.51 -6.91 16 9 C 0.11 0.73 6.34 -3.71 -0.02 0.71 16 10 C -0.13 -0.95 6.08 -26.61 -0.16 -1.11 16 11 C -0.11 -1.13 4.92 -26.69 -0.13 -1.26 16 12 C 0.07 0.94 2.37 -67.60 -0.16 0.78 16 13 H 0.08 1.14 8.04 -51.93 -0.42 0.72 16 14 N -0.50 -8.36 4.49 -236.20 -1.06 -9.42 16 15 C 0.01 0.23 8.46 60.07 0.51 0.73 16 16 C 0.04 0.79 4.89 -4.98 -0.02 0.76 16 17 C 0.44 10.69 7.48 -10.98 -0.08 10.61 16 18 O -0.58 -15.61 13.91 5.55 0.08 -15.53 16 19 N -0.56 -14.64 5.29 -10.96 -0.06 -14.70 16 20 C -0.30 -8.45 9.68 -14.93 -0.14 -8.60 16 21 H 0.10 3.01 7.16 -52.49 -0.38 2.63 16 22 C 0.02 0.59 5.50 -17.47 -0.10 0.49 16 23 N -0.90 -25.08 13.05 55.50 0.72 -24.35 16 24 Si 0.93 21.39 29.55 -169.99 -5.02 16.37 16 25 H -0.27 -6.24 7.11 56.52 0.40 -5.84 16 26 H -0.28 -6.39 7.11 56.52 0.40 -5.99 16 27 H -0.27 -6.24 7.11 56.52 0.40 -5.83 16 28 C 0.07 0.94 5.02 -3.72 -0.02 0.93 16 29 H 0.03 0.19 8.14 -51.93 -0.42 -0.23 16 30 H 0.07 0.38 8.12 -51.93 -0.42 -0.04 16 31 H 0.07 0.46 8.12 -51.93 -0.42 0.04 16 32 H 0.07 0.37 6.47 -51.93 -0.34 0.04 16 33 H 0.07 0.36 8.12 -51.93 -0.42 -0.06 16 34 H 0.03 0.18 8.14 -51.93 -0.42 -0.24 16 35 H 0.08 0.85 8.02 -51.93 -0.42 0.43 16 36 H 0.04 0.47 8.08 -51.93 -0.42 0.05 16 37 H 0.09 0.59 6.10 -51.93 -0.32 0.27 16 38 H 0.10 0.68 7.94 -51.93 -0.41 0.27 16 39 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 40 H 0.09 0.41 5.93 -51.93 -0.31 0.10 16 41 H 0.08 0.42 8.14 -51.93 -0.42 -0.01 16 42 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 43 H 0.08 0.85 8.14 -51.93 -0.42 0.43 16 44 H 0.07 0.67 6.49 -51.93 -0.34 0.33 16 45 H 0.06 0.86 6.35 -51.93 -0.33 0.53 16 46 H 0.10 1.91 5.82 -51.93 -0.30 1.60 16 47 H 0.02 0.26 6.17 -51.93 -0.32 -0.06 16 48 H 0.09 1.53 8.00 -51.93 -0.42 1.12 16 49 H 0.05 0.87 7.07 -51.93 -0.37 0.50 16 50 H 0.39 9.87 7.90 -40.82 -0.32 9.54 16 51 H 0.27 7.17 8.31 -40.82 -0.34 6.83 16 52 H 0.07 0.90 6.13 -51.93 -0.32 0.58 16 53 H 0.09 1.43 5.92 -51.93 -0.31 1.13 16 LS Contribution 405.68 15.07 6.11 6.11 Total: -1.00 -33.51 405.68 -9.29 -42.79 By element: Atomic # 1 Polarization: 17.92 SS G_CDS: -8.96 Total: 8.96 kcal Atomic # 6 Polarization: 10.20 SS G_CDS: 0.59 Total: 10.79 kcal Atomic # 7 Polarization: -58.77 SS G_CDS: -2.17 Total: -60.93 kcal Atomic # 8 Polarization: -24.25 SS G_CDS: 0.16 Total: -24.09 kcal Atomic # 14 Polarization: 21.39 SS G_CDS: -5.02 Total: 16.37 kcal Total LS contribution 6.11 Total: 6.11 kcal Total: -33.51 -9.29 -42.79 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. ZINC001491947109.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 -9.188 kcal (2) G-P(sol) polarization free energy of solvation -33.507 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -42.695 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.287 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.795 kcal (6) G-S(sol) free energy of system = (1) + (5) -51.982 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.77 seconds