Wall clock time and date at job start Tue Mar 31 2020 20:30:38 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 1.50706 * 1 3 3 O 1.20758 * 119.99844 * 2 1 4 4 C 1.50692 * 119.99991 * 180.02562 * 2 1 3 5 5 H 1.09001 * 109.47788 * 45.00118 * 4 2 1 6 6 C 1.53005 * 109.47360 * 284.99820 * 4 2 1 7 7 N 1.46484 * 109.47246 * 164.99954 * 4 2 1 8 8 C 1.46778 * 124.47714 * 240.13397 * 7 4 2 9 9 C 1.54612 * 105.35373 * 163.54730 * 8 7 4 10 10 C 1.54636 * 101.33373 * 26.08667 * 9 8 7 11 11 C 1.50233 * 110.56234 * 94.72833 * 10 9 8 12 12 C 1.54407 * 113.56294 * 210.50497 * 11 10 9 13 13 C 1.54148 * 112.31255 * 293.11833 * 12 11 10 14 14 N 1.44151 * 111.89230 * 346.85765 * 13 12 11 15 15 C 1.46892 * 110.94290 * 208.10536 * 14 13 12 16 16 C 1.53001 * 109.47191 * 302.82813 * 15 14 13 17 17 C 1.50693 * 109.47556 * 185.09011 * 16 15 14 18 18 H 1.08005 * 119.99905 * 0.02562 * 17 16 15 19 19 C 1.37878 * 120.00450 * 180.02562 * 17 16 15 20 20 N 1.31513 * 119.99778 * 359.97438 * 19 17 16 21 21 Si 1.86797 * 120.00123 * 180.02562 * 19 17 16 22 22 H 1.48497 * 109.47357 * 89.99513 * 21 19 17 23 23 H 1.48497 * 109.46929 * 209.99636 * 21 19 17 24 24 H 1.48499 * 109.47173 * 329.99539 * 21 19 17 25 25 C 1.47707 * 109.53757 * 85.25153 * 14 13 12 26 26 C 1.45696 * 113.41785 * 264.47035 * 25 14 13 27 27 C 1.34823 * 124.27985 * 60.02338 * 7 4 2 28 28 O 1.21225 * 124.13946 * 358.90459 * 27 7 4 29 29 H 1.08999 * 109.46954 * 239.99935 * 1 2 3 30 30 H 1.08999 * 109.47243 * 359.97438 * 1 2 3 31 31 H 1.09004 * 109.46983 * 119.99684 * 1 2 3 32 32 H 1.08993 * 109.47322 * 180.02562 * 6 4 2 33 33 H 1.08994 * 109.46748 * 300.00506 * 6 4 2 34 34 H 1.09000 * 109.46936 * 59.99725 * 6 4 2 35 35 H 1.08983 * 110.39528 * 44.51036 * 8 7 4 36 36 H 1.08961 * 110.15918 * 282.50310 * 8 7 4 37 37 H 1.08879 * 111.10267 * 268.31571 * 9 8 7 38 38 H 1.08858 * 111.15711 * 143.90946 * 9 8 7 39 39 H 1.09198 * 108.57987 * 331.46285 * 11 10 9 40 40 H 1.09076 * 108.75627 * 89.08804 * 11 10 9 41 41 H 1.09211 * 108.77528 * 172.80488 * 12 11 10 42 42 H 1.08905 * 109.31609 * 54.43843 * 12 11 10 43 43 H 1.09099 * 108.85025 * 226.40916 * 13 12 11 44 44 H 1.08936 * 109.09393 * 107.88783 * 13 12 11 45 45 H 1.08995 * 109.47654 * 62.82975 * 15 14 13 46 46 H 1.09006 * 109.47131 * 182.83377 * 15 14 13 47 47 H 1.09001 * 109.47338 * 305.09497 * 16 15 14 48 48 H 1.09004 * 109.46738 * 65.08882 * 16 15 14 49 49 H 0.96998 * 120.00283 * 180.02562 * 20 19 17 50 50 H 1.09464 * 108.15669 * 144.27948 * 25 14 13 51 51 H 1.08727 * 109.21946 * 27.02450 * 25 14 13 52 52 H 1.09263 * 108.99924 * 300.73752 * 26 25 14 53 53 H 1.09293 * 108.94497 * 182.69440 * 26 25 14 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 1.5071 0.0000 0.0000 3 8 2.1108 1.0458 0.0000 4 6 2.2605 -1.3050 -0.0006 5 1 1.8130 -1.9828 -0.7275 6 6 2.1923 -1.9341 1.3925 7 7 3.6600 -1.0608 -0.3579 8 6 4.3345 -1.6465 -1.5225 9 6 5.6109 -0.7980 -1.7259 10 6 5.8588 -0.2734 -0.2925 11 6 6.8284 -1.1616 0.4340 12 6 6.5940 -1.2139 1.9593 13 6 6.8859 0.1365 2.6429 14 7 7.5922 1.0397 1.7692 15 6 8.4216 1.9752 2.5403 16 6 7.5404 2.7440 3.5269 17 6 8.3671 3.7900 4.2292 18 1 9.4161 3.8962 3.9950 19 6 7.7844 4.6116 5.1708 20 7 6.5070 4.4826 5.4556 21 14 8.8090 5.9087 6.0409 22 1 8.7627 7.1762 5.2686 23 1 8.2638 6.1386 7.4028 24 1 10.2152 5.4423 6.1429 25 6 6.6241 1.7659 0.9223 26 6 6.4279 1.1561 -0.3863 27 6 4.4945 -0.2656 0.3412 28 8 4.1738 0.3516 1.3341 29 1 -0.3633 -0.5138 0.8900 30 1 -0.3634 1.0276 0.0005 31 1 -0.3633 -0.5138 -0.8901 32 1 2.7376 -2.8777 1.3922 33 1 2.6398 -1.2563 2.1194 34 1 1.1509 -2.1158 1.6585 35 1 3.6953 -1.5841 -2.4029 36 1 4.5986 -2.6843 -1.3208 37 1 5.4282 0.0263 -2.4135 38 1 6.4429 -1.4142 -2.0622 39 1 6.7414 -2.1734 0.0327 40 1 7.8414 -0.8042 0.2443 41 1 7.2507 -1.9727 2.3901 42 1 5.5611 -1.4979 2.1555 43 1 7.4922 -0.0423 3.5322 44 1 5.9447 0.5929 2.9469 45 1 9.1819 1.4194 3.0891 46 1 8.9045 2.6776 1.8609 47 1 6.7260 3.2268 2.9868 48 1 7.1290 2.0522 4.2619 49 1 6.0969 5.0608 6.1178 50 1 6.9965 2.7847 0.7753 51 1 5.6710 1.8291 1.4418 52 1 7.3859 1.1236 -0.9108 53 1 5.7389 1.7751 -0.9665 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 ZINC001274038372.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 20:30:38 Heat of formation + Delta-G solvation = -60.963905 kcal Electronic energy + Delta-G solvation = -31999.682741 eV Core-core repulsion = 28064.532940 eV Total energy + Delta-G solvation = -3935.149800 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -41.36378 -39.44263 -37.80096 -36.30407 -35.09881 -33.17190 -32.25191 -32.07398 -30.22915 -29.21520 -28.30877 -26.40872 -25.36896 -24.61895 -23.70284 -22.17543 -21.64054 -21.25061 -19.71803 -18.62508 -18.18785 -16.87295 -16.37360 -16.29170 -16.16764 -15.25475 -15.12683 -14.73179 -14.51926 -14.42602 -14.30238 -14.23474 -13.79240 -13.46368 -13.17039 -13.01162 -12.85096 -12.82545 -12.55251 -12.42911 -12.30636 -12.15831 -12.02917 -11.89285 -11.85470 -11.68036 -11.53803 -11.16065 -10.99940 -10.80198 -10.58589 -10.55101 -10.16069 -10.11619 -9.89970 -9.82272 -9.67904 -9.60790 -9.06183 -8.98022 -8.60686 -8.25443 -7.30962 -5.90022 -3.93513 1.87931 2.78664 2.95373 3.37232 3.42960 3.46511 3.85272 4.29246 4.39333 4.52394 4.65715 4.68040 4.76383 4.82714 4.88134 4.95995 5.10036 5.13128 5.18657 5.26715 5.27659 5.36342 5.44460 5.47443 5.56383 5.58765 5.68938 5.71628 5.75101 5.84614 5.97409 5.99040 6.06306 6.17040 6.26176 6.31600 6.45655 6.52237 6.58690 6.62046 6.63187 6.76154 6.85429 6.94236 7.08074 7.22219 7.44850 7.71644 7.78071 7.87854 8.09344 8.15818 8.49433 8.54655 9.14520 9.69959 11.20655 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.014451 B = 0.003377 C = 0.002998 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1937.120841 B = 8288.939767 C = 9336.788198 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.200 4.200 2 C 0.330 3.670 3 O -0.418 6.418 4 C 0.113 3.887 5 H 0.109 0.891 6 C -0.161 4.161 7 N -0.628 5.628 8 C 0.108 3.892 9 C -0.127 4.127 10 C -0.081 4.081 11 C -0.081 4.081 12 C -0.108 4.108 13 C 0.058 3.942 14 N -0.529 5.529 15 C 0.059 3.941 16 C -0.007 4.007 17 C -0.519 4.519 18 H 0.055 0.945 19 C 0.057 3.943 20 N -0.893 5.893 21 Si 0.890 3.110 22 H -0.281 1.281 23 H -0.287 1.287 24 H -0.274 1.274 25 C 0.038 3.962 26 C -0.080 4.080 27 C 0.539 3.461 28 O -0.488 6.488 29 H 0.092 0.908 30 H 0.082 0.918 31 H 0.089 0.911 32 H 0.068 0.932 33 H 0.078 0.922 34 H 0.071 0.929 35 H 0.071 0.929 36 H 0.068 0.932 37 H 0.081 0.919 38 H 0.090 0.910 39 H 0.048 0.952 40 H 0.089 0.911 41 H 0.055 0.945 42 H 0.049 0.951 43 H 0.058 0.942 44 H 0.051 0.949 45 H 0.058 0.942 46 H 0.059 0.941 47 H 0.017 0.983 48 H 0.016 0.984 49 H 0.259 0.741 50 H 0.059 0.941 51 H 0.069 0.931 52 H 0.070 0.930 53 H 0.058 0.942 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.196 -18.946 -17.813 27.932 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 -0.257 4.257 2 C 0.201 3.799 3 O -0.287 6.287 4 C 0.009 3.991 5 H 0.127 0.873 6 C -0.219 4.219 7 N -0.365 5.365 8 C -0.016 4.016 9 C -0.165 4.165 10 C -0.084 4.084 11 C -0.119 4.119 12 C -0.146 4.146 13 C -0.071 4.071 14 N -0.252 5.252 15 C -0.068 4.068 16 C -0.046 4.046 17 C -0.558 4.558 18 H 0.073 0.927 19 C -0.144 4.144 20 N -0.532 5.532 21 Si 0.718 3.282 22 H -0.207 1.207 23 H -0.213 1.213 24 H -0.199 1.199 25 C -0.090 4.090 26 C -0.119 4.119 27 C 0.327 3.673 28 O -0.359 6.359 29 H 0.110 0.890 30 H 0.101 0.899 31 H 0.108 0.892 32 H 0.087 0.913 33 H 0.097 0.903 34 H 0.090 0.910 35 H 0.089 0.911 36 H 0.086 0.914 37 H 0.100 0.900 38 H 0.109 0.891 39 H 0.067 0.933 40 H 0.107 0.893 41 H 0.074 0.926 42 H 0.068 0.932 43 H 0.077 0.923 44 H 0.069 0.931 45 H 0.077 0.923 46 H 0.078 0.922 47 H 0.036 0.964 48 H 0.034 0.966 49 H 0.069 0.931 50 H 0.077 0.923 51 H 0.087 0.913 52 H 0.088 0.912 53 H 0.076 0.924 Dipole moment (debyes) X Y Z Total from point charges -9.906 -18.239 -17.434 27.106 hybrid contribution -0.303 1.099 1.020 1.529 sum -10.209 -17.140 -16.415 25.835 Atomic orbital electron populations 1.22297 0.94072 1.05168 1.04209 1.24990 0.91966 0.90656 0.72331 1.90519 1.71544 1.34336 1.32326 1.21303 0.82086 0.96421 0.99303 0.87308 1.22066 1.02860 1.01686 0.95326 1.48400 1.09610 1.49549 1.28934 1.22024 0.94188 0.97246 0.88095 1.22838 0.97114 0.99996 0.96503 1.20857 0.93581 0.98961 0.95014 1.20969 0.99670 0.96596 0.94713 1.22019 1.00106 0.97840 0.94642 1.21753 0.98281 0.92616 0.94453 1.61891 1.22092 1.18624 1.22561 1.22416 0.95644 0.93339 0.95374 1.19682 0.95437 0.95200 0.94233 1.21198 0.95937 1.17089 1.21617 0.92710 1.25034 0.94879 0.97525 0.96987 1.69991 1.10723 1.39113 1.33379 0.86623 0.80487 0.82106 0.78953 1.20731 1.21304 1.19878 1.20973 0.97234 0.96572 0.94192 1.20439 1.00283 0.92593 0.98545 1.20487 0.86377 0.77339 0.83146 1.90698 1.78659 1.42102 1.24459 0.88992 0.89858 0.89243 0.91259 0.90277 0.91019 0.91084 0.91366 0.90027 0.89098 0.93291 0.89286 0.92641 0.93207 0.92324 0.93102 0.92308 0.92222 0.96427 0.96581 0.93111 0.92256 0.91280 0.91178 0.92371 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 -0.20 -1.44 10.24 36.01 0.37 -1.07 16 2 C 0.33 3.81 6.39 -29.04 -0.19 3.62 16 3 O -0.42 -7.17 14.91 -15.05 -0.22 -7.40 16 4 C 0.11 1.06 3.21 -69.09 -0.22 0.84 16 5 H 0.11 0.59 8.07 -51.93 -0.42 0.17 16 6 C -0.16 -1.50 9.17 37.16 0.34 -1.16 16 7 N -0.63 -7.19 2.74 -166.36 -0.46 -7.65 16 8 C 0.11 0.85 7.31 -3.04 -0.02 0.83 16 9 C -0.13 -1.13 6.01 -25.02 -0.15 -1.28 16 10 C -0.08 -1.06 0.49 -155.71 -0.08 -1.14 16 11 C -0.08 -1.05 4.51 -27.37 -0.12 -1.18 16 12 C -0.11 -1.66 5.45 -25.39 -0.14 -1.80 16 13 C 0.06 1.14 3.89 -4.69 -0.02 1.12 16 14 N -0.53 -10.33 3.72 -239.67 -0.89 -11.22 16 15 C 0.06 1.33 4.93 -3.83 -0.02 1.31 16 16 C -0.01 -0.20 4.35 -27.89 -0.12 -0.32 16 17 C -0.52 -15.46 9.11 -34.44 -0.31 -15.77 16 18 H 0.05 1.57 7.74 -52.48 -0.41 1.16 16 19 C 0.06 1.72 5.46 -17.82 -0.10 1.62 16 20 N -0.89 -28.43 13.29 55.43 0.74 -27.70 16 21 Si 0.89 22.62 29.54 -169.99 -5.02 17.60 16 22 H -0.28 -7.04 7.11 56.52 0.40 -6.64 16 23 H -0.29 -7.21 7.11 56.52 0.40 -6.81 16 24 H -0.27 -6.77 7.11 56.52 0.40 -6.37 16 25 C 0.04 0.74 3.67 -6.83 -0.03 0.71 16 26 C -0.08 -1.22 4.08 -29.58 -0.12 -1.34 16 27 C 0.54 8.24 4.16 -11.10 -0.05 8.19 16 28 O -0.49 -9.65 10.18 -15.44 -0.16 -9.80 16 29 H 0.09 0.51 7.89 -51.93 -0.41 0.10 16 30 H 0.08 0.69 8.12 -51.93 -0.42 0.27 16 31 H 0.09 0.39 8.14 -51.93 -0.42 -0.04 16 32 H 0.07 0.58 8.14 -51.93 -0.42 0.15 16 33 H 0.08 1.06 6.78 -51.93 -0.35 0.71 16 34 H 0.07 0.47 7.89 -51.93 -0.41 0.06 16 35 H 0.07 0.43 8.14 -51.94 -0.42 0.00 16 36 H 0.07 0.43 8.14 -51.95 -0.42 0.01 16 37 H 0.08 0.72 7.76 -52.00 -0.40 0.32 16 38 H 0.09 0.63 7.78 -52.01 -0.40 0.22 16 39 H 0.05 0.51 7.71 -51.82 -0.40 0.11 16 40 H 0.09 1.22 7.10 -51.89 -0.37 0.85 16 41 H 0.05 0.77 8.16 -51.81 -0.42 0.35 16 42 H 0.05 0.79 6.72 -51.98 -0.35 0.44 16 43 H 0.06 1.18 7.49 -51.87 -0.39 0.80 16 44 H 0.05 1.17 6.00 -51.97 -0.31 0.86 16 45 H 0.06 1.29 8.08 -51.93 -0.42 0.87 16 46 H 0.06 1.32 7.93 -51.93 -0.41 0.91 16 47 H 0.02 0.53 7.06 -51.93 -0.37 0.16 16 48 H 0.02 0.47 7.12 -51.93 -0.37 0.10 16 49 H 0.26 7.79 8.31 -40.82 -0.34 7.45 16 50 H 0.06 1.23 7.34 -51.67 -0.38 0.85 16 51 H 0.07 1.59 4.92 -52.08 -0.26 1.33 16 52 H 0.07 0.96 8.08 -51.78 -0.42 0.54 16 53 H 0.06 0.88 8.05 -51.76 -0.42 0.47 16 LS Contribution 392.79 15.07 5.92 5.92 Total: -1.00 -37.22 392.79 -10.39 -47.62 By element: Atomic # 1 Polarization: 8.76 SS G_CDS: -9.33 Total: -0.57 kcal Atomic # 6 Polarization: -5.83 SS G_CDS: -0.97 Total: -6.80 kcal Atomic # 7 Polarization: -45.96 SS G_CDS: -0.61 Total: -46.57 kcal Atomic # 8 Polarization: -16.82 SS G_CDS: -0.38 Total: -17.20 kcal Atomic # 14 Polarization: 22.62 SS G_CDS: -5.02 Total: 17.60 kcal Total LS contribution 5.92 Total: 5.92 kcal Total: -37.22 -10.39 -47.62 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. ZINC001274038372.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 -13.345 kcal (2) G-P(sol) polarization free energy of solvation -37.224 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -50.569 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.395 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -47.618 kcal (6) G-S(sol) free energy of system = (1) + (5) -60.964 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds