Wall clock time and date at job start Sat Apr 11 2020 06:09:44 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 1.53000 * 1 3 3 C 1.52999 * 109.47547 * 2 1 4 4 O 1.42904 * 109.47229 * 120.00448 * 2 1 3 5 5 C 1.42897 * 114.00172 * 89.99474 * 4 2 1 6 6 C 1.53000 * 109.46878 * 180.02562 * 5 4 2 7 7 C 1.50702 * 109.47221 * 180.02562 * 6 5 4 8 8 O 1.21291 * 119.99640 * 359.97438 * 7 6 5 9 9 N 1.34772 * 120.00512 * 179.97438 * 7 6 5 10 10 C 1.47168 * 121.07587 * 359.97438 * 9 7 6 11 11 C 1.53278 * 108.56811 * 231.25455 * 10 9 7 12 12 H 1.08995 * 109.51350 * 66.97247 * 11 10 9 13 13 C 1.53004 * 109.50990 * 187.07421 * 11 10 9 14 14 O 1.43127 * 109.22149 * 306.99670 * 11 10 9 15 15 C 1.41884 * 114.37374 * 60.89362 * 14 11 10 16 16 C 1.54350 * 110.75437 * 176.66858 * 15 14 11 17 17 C 1.54482 * 102.96425 * 276.10266 * 16 15 14 18 18 N 1.47081 * 107.28676 * 338.90228 * 17 16 15 19 19 C 1.36938 * 125.63002 * 178.84998 * 18 17 16 20 20 H 1.07999 * 120.00182 * 176.20669 * 19 18 17 21 21 C 1.38810 * 120.00057 * 356.20891 * 19 18 17 22 22 N 1.31622 * 120.00269 * 211.31841 * 21 19 18 23 23 Si 1.86803 * 119.99914 * 31.03461 * 21 19 18 24 24 H 1.48494 * 109.47570 * 275.58454 * 23 21 19 25 25 H 1.48504 * 109.46751 * 35.58795 * 23 21 19 26 26 H 1.48500 * 109.47022 * 155.58323 * 23 21 19 27 27 C 1.47565 * 108.74258 * 358.58317 * 18 17 16 28 28 C 1.47334 * 121.08377 * 179.97438 * 9 7 6 29 29 H 1.09001 * 109.46696 * 300.00120 * 1 2 3 30 30 H 1.09003 * 109.46865 * 60.00187 * 1 2 3 31 31 H 1.08998 * 109.47280 * 179.97438 * 1 2 3 32 32 H 1.09004 * 109.47169 * 239.99740 * 2 1 3 33 33 H 1.09003 * 109.47349 * 180.02562 * 3 2 1 34 34 H 1.09003 * 109.46886 * 299.99801 * 3 2 1 35 35 H 1.09004 * 109.46591 * 59.99839 * 3 2 1 36 36 H 1.08997 * 109.46932 * 60.00516 * 5 4 2 37 37 H 1.09001 * 109.47273 * 300.00466 * 5 4 2 38 38 H 1.08997 * 109.47138 * 60.00373 * 6 5 4 39 39 H 1.08997 * 109.47073 * 299.99738 * 6 5 4 40 40 H 1.09000 * 109.62138 * 350.98121 * 10 9 7 41 41 H 1.09001 * 109.61937 * 111.34690 * 10 9 7 42 42 H 1.08998 * 109.47165 * 60.00564 * 13 11 10 43 43 H 1.09005 * 109.46919 * 179.97438 * 13 11 10 44 44 H 1.08995 * 109.47268 * 299.99633 * 13 11 10 45 45 H 1.09000 * 110.73418 * 34.67193 * 16 15 14 46 46 H 1.09000 * 110.73756 * 157.80289 * 16 15 14 47 47 H 1.08992 * 110.00596 * 219.40690 * 17 16 15 48 48 H 1.09002 * 109.75522 * 98.25167 * 17 16 15 49 49 H 0.97002 * 119.99649 * 354.69253 * 22 21 19 50 50 H 1.09001 * 110.37698 * 142.41370 * 27 18 17 51 51 H 1.08998 * 110.37692 * 264.64688 * 27 18 17 52 52 H 1.09000 * 109.67429 * 11.07530 * 28 9 7 53 53 H 1.08996 * 109.67541 * 250.53429 * 28 9 7 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 6 2.0401 1.4424 0.0000 4 8 2.0064 -0.6737 1.1667 5 6 2.2000 -2.0783 0.9886 6 6 2.7079 -2.6927 2.2945 7 6 2.9127 -4.1739 2.1065 8 8 2.6754 -4.6875 1.0336 9 7 3.3596 -4.9278 3.1303 10 6 3.6555 -4.3293 4.4418 11 6 5.0639 -4.7587 4.8677 12 1 5.7990 -4.3100 4.1997 13 6 5.3273 -4.2961 6.3021 14 8 5.1624 -6.1850 4.7997 15 6 4.9531 -6.7252 3.5045 16 6 5.1597 -8.2548 3.5100 17 6 6.6897 -8.3985 3.3520 18 7 7.1886 -7.1437 2.7691 19 6 8.4989 -6.8586 2.4915 20 1 8.7582 -5.9295 2.0057 21 6 9.4938 -7.7637 2.8344 22 7 10.6938 -7.3311 3.1591 23 14 9.1276 -9.5955 2.8427 24 1 8.5173 -9.9725 4.1428 25 1 8.1845 -9.9166 1.7414 26 1 10.3900 -10.3535 2.6501 27 6 6.0434 -6.2452 2.5267 28 6 3.5678 -6.3779 2.9730 29 1 -0.3633 0.5139 0.8900 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3634 -1.0276 -0.0005 32 1 1.8934 -0.5139 -0.8900 33 1 3.1301 1.4424 -0.0005 34 1 1.6768 1.9563 -0.8900 35 1 1.6767 1.9563 0.8900 36 1 2.9319 -2.2468 0.1986 37 1 1.2537 -2.5434 0.7124 38 1 1.9757 -2.5243 3.0841 39 1 3.6541 -2.2277 2.5710 40 1 3.6112 -3.2428 4.3667 41 1 2.9270 -4.6755 5.1749 42 1 4.5931 -4.7467 6.9699 43 1 6.3289 -4.6022 6.6045 44 1 5.2477 -3.2103 6.3541 45 1 4.8243 -8.6861 4.4532 46 1 4.6414 -8.7173 2.6699 47 1 6.9194 -9.2324 2.6889 48 1 7.1471 -8.5614 4.3279 49 1 10.9056 -6.3874 3.0849 50 1 6.3187 -5.2128 2.7422 51 1 5.6994 -6.3382 1.4966 52 1 3.5013 -6.6459 1.9186 53 1 2.8106 -6.9208 3.5387 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 ZINC001131629093.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 06:09:44 Heat of formation + Delta-G solvation = -92.279023 kcal Electronic energy + Delta-G solvation = -31636.496770 eV Core-core repulsion = 27509.532992 eV Total energy + Delta-G solvation = -4126.963777 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.23 seconds Orbital eigenvalues (eV) -40.77988 -39.19556 -38.40929 -36.63881 -34.73160 -33.71946 -33.20533 -31.67817 -31.17104 -29.65120 -28.66545 -27.58247 -26.69003 -26.02296 -24.03255 -22.86185 -21.84717 -21.64714 -20.78491 -19.72041 -18.91254 -17.76387 -17.45940 -16.76734 -16.60559 -16.32472 -15.99570 -15.51689 -15.17752 -14.92809 -14.51167 -14.45506 -14.02007 -13.94164 -13.66522 -13.52964 -13.29786 -12.96528 -12.93207 -12.79141 -12.56834 -12.39692 -12.35961 -12.27501 -12.10987 -11.88906 -11.63688 -11.53008 -11.44067 -11.23115 -11.18406 -11.10027 -10.97746 -10.81346 -10.47828 -10.08705 -9.87049 -9.84050 -9.71332 -9.59711 -9.18177 -8.50976 -8.30699 -7.01566 -6.34439 -3.07950 2.46042 2.62369 3.41403 3.45951 3.53466 3.70919 3.73068 4.36864 4.50897 4.58204 4.64070 4.66123 4.71812 4.77316 4.81348 4.88769 4.90940 4.93528 5.11225 5.14952 5.22396 5.24662 5.27299 5.33295 5.36771 5.43237 5.44374 5.49136 5.51225 5.53573 5.56055 5.59930 5.68510 5.71547 5.82646 5.87579 5.88883 5.95388 6.07506 6.13089 6.17482 6.25055 6.36535 6.48622 6.62802 6.84730 6.94560 7.20277 7.51308 7.73465 7.98588 8.36741 9.08064 9.64967 10.31841 11.17155 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015364 B = 0.002702 C = 0.002610 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1821.980979 B =10358.889367 C =10723.987244 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.175 4.175 2 C 0.082 3.918 3 C -0.150 4.150 4 O -0.386 6.386 5 C 0.078 3.922 6 C -0.138 4.138 7 C 0.522 3.478 8 O -0.540 6.540 9 N -0.611 5.611 10 C 0.077 3.923 11 C 0.070 3.930 12 H 0.070 0.930 13 C -0.141 4.141 14 O -0.347 6.347 15 C 0.091 3.909 16 C -0.112 4.112 17 C 0.109 3.891 18 N -0.603 5.603 19 C -0.335 4.335 20 H 0.076 0.924 21 C -0.018 4.018 22 N -0.913 5.913 23 Si 1.065 2.935 24 H -0.291 1.291 25 H -0.293 1.293 26 H -0.300 1.300 27 C 0.124 3.876 28 C 0.099 3.901 29 H 0.063 0.937 30 H 0.064 0.936 31 H 0.057 0.943 32 H 0.061 0.939 33 H 0.062 0.938 34 H 0.068 0.932 35 H 0.063 0.937 36 H 0.059 0.941 37 H 0.057 0.943 38 H 0.101 0.899 39 H 0.103 0.897 40 H 0.093 0.907 41 H 0.079 0.921 42 H 0.063 0.937 43 H 0.072 0.928 44 H 0.070 0.930 45 H 0.081 0.919 46 H 0.081 0.919 47 H 0.036 0.964 48 H 0.047 0.953 49 H 0.262 0.738 50 H 0.045 0.955 51 H 0.027 0.973 52 H 0.103 0.897 53 H 0.074 0.926 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -21.734 12.704 0.911 25.191 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 -0.233 4.233 2 C 0.024 3.976 3 C -0.207 4.207 4 O -0.306 6.306 5 C 0.001 3.999 6 C -0.178 4.178 7 C 0.310 3.690 8 O -0.418 6.418 9 N -0.345 5.345 10 C -0.046 4.046 11 C 0.012 3.988 12 H 0.088 0.912 13 C -0.198 4.198 14 O -0.266 6.266 15 C 0.050 3.950 16 C -0.150 4.150 17 C -0.016 4.016 18 N -0.331 5.331 19 C -0.462 4.462 20 H 0.094 0.906 21 C -0.219 4.219 22 N -0.553 5.553 23 Si 0.899 3.101 24 H -0.219 1.219 25 H -0.221 1.221 26 H -0.228 1.228 27 C -0.003 4.003 28 C -0.024 4.024 29 H 0.082 0.918 30 H 0.083 0.917 31 H 0.076 0.924 32 H 0.079 0.921 33 H 0.081 0.919 34 H 0.087 0.913 35 H 0.082 0.918 36 H 0.077 0.923 37 H 0.075 0.925 38 H 0.119 0.881 39 H 0.121 0.879 40 H 0.111 0.889 41 H 0.097 0.903 42 H 0.082 0.918 43 H 0.091 0.909 44 H 0.089 0.911 45 H 0.100 0.900 46 H 0.100 0.900 47 H 0.053 0.947 48 H 0.065 0.935 49 H 0.073 0.927 50 H 0.063 0.937 51 H 0.044 0.956 52 H 0.121 0.879 53 H 0.093 0.907 Dipole moment (debyes) X Y Z Total from point charges -21.021 10.970 0.981 23.731 hybrid contribution -0.771 1.524 -0.825 1.897 sum -21.792 12.494 0.156 25.120 Atomic orbital electron populations 1.22305 0.96025 1.02437 1.02524 1.22075 0.93600 0.93747 0.88181 1.21868 1.01954 0.94423 1.02458 1.87840 1.86755 1.20068 1.35946 1.22143 1.00471 0.80898 0.96345 1.21489 1.04450 0.91952 0.99908 1.20362 0.76558 0.88620 0.83425 1.90714 1.51271 1.74353 1.25440 1.48159 1.65701 1.08846 1.11780 1.22587 0.98256 0.99267 0.84499 1.22466 0.94534 0.83223 0.98609 0.91208 1.21690 1.03599 1.00616 0.93930 1.87831 1.91824 1.19089 1.27833 1.22294 0.92806 0.95295 0.84622 1.22482 0.97971 0.92152 1.02427 1.21776 0.91428 0.90466 0.97919 1.44719 1.02706 1.12142 1.73518 1.19903 0.80333 1.04902 1.41021 0.90645 1.25637 0.93679 1.05007 0.97566 1.70926 1.24186 1.17701 1.42499 0.83873 0.73577 0.76512 0.76183 1.21877 1.22085 1.22808 1.21903 0.88035 0.95104 0.95251 1.22153 0.96785 0.79727 1.03757 0.91792 0.91655 0.92418 0.92052 0.91883 0.91267 0.91795 0.92289 0.92504 0.88067 0.87907 0.88870 0.90320 0.91823 0.90932 0.91091 0.90021 0.90010 0.94662 0.93516 0.92730 0.93695 0.95574 0.87875 0.90740 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -0.18 -1.26 9.53 37.16 0.35 -0.91 16 2 C 0.08 0.69 3.34 -26.73 -0.09 0.60 16 3 C -0.15 -1.05 9.56 37.16 0.36 -0.70 16 4 O -0.39 -4.05 9.99 -35.23 -0.35 -4.40 16 5 C 0.08 0.84 5.04 37.16 0.19 1.03 16 6 C -0.14 -1.39 4.44 -27.88 -0.12 -1.51 16 7 C 0.52 7.00 7.71 -10.99 -0.08 6.91 16 8 O -0.54 -9.06 15.47 5.55 0.09 -8.97 16 9 N -0.61 -7.95 2.95 -172.67 -0.51 -8.46 16 10 C 0.08 0.81 5.81 -3.53 -0.02 0.79 16 11 C 0.07 0.96 3.20 -26.59 -0.08 0.87 16 12 H 0.07 1.10 6.25 -51.93 -0.32 0.78 16 13 C -0.14 -1.55 9.57 37.16 0.36 -1.20 16 14 O -0.35 -5.96 9.92 -35.22 -0.35 -6.30 16 15 C 0.09 1.57 0.83 -89.64 -0.07 1.49 16 16 C -0.11 -1.93 6.12 -25.25 -0.15 -2.09 16 17 C 0.11 2.47 4.84 -2.95 -0.01 2.45 16 18 N -0.60 -15.42 3.38 -170.31 -0.58 -16.00 16 19 C -0.33 -9.88 10.43 -15.06 -0.16 -10.04 16 20 H 0.08 2.35 8.06 -52.49 -0.42 1.92 16 21 C -0.02 -0.54 5.45 -17.43 -0.09 -0.64 16 22 N -0.91 -28.99 13.70 55.49 0.76 -28.23 16 23 Si 1.07 27.34 24.65 -169.99 -4.19 23.15 16 24 H -0.29 -7.05 6.36 56.52 0.36 -6.69 16 25 H -0.29 -7.15 6.35 56.52 0.36 -6.79 16 26 H -0.30 -7.76 7.11 56.52 0.40 -7.36 16 27 C 0.12 2.63 6.18 -2.87 -0.02 2.61 16 28 C 0.10 1.41 5.30 -3.90 -0.02 1.39 16 29 H 0.06 0.46 8.14 -51.93 -0.42 0.03 16 30 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 31 H 0.06 0.44 7.87 -51.93 -0.41 0.03 16 32 H 0.06 0.51 7.79 -51.93 -0.40 0.10 16 33 H 0.06 0.47 8.14 -51.93 -0.42 0.04 16 34 H 0.07 0.37 8.14 -51.93 -0.42 -0.05 16 35 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 36 H 0.06 0.69 8.04 -51.93 -0.42 0.27 16 37 H 0.06 0.62 7.83 -51.93 -0.41 0.21 16 38 H 0.10 0.82 8.01 -51.93 -0.42 0.41 16 39 H 0.10 0.95 7.67 -51.93 -0.40 0.56 16 40 H 0.09 0.74 6.05 -51.93 -0.31 0.43 16 41 H 0.08 0.73 8.14 -51.93 -0.42 0.31 16 42 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 43 H 0.07 0.94 8.14 -51.93 -0.42 0.52 16 44 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 45 H 0.08 1.24 8.14 -51.93 -0.42 0.82 16 46 H 0.08 1.23 7.99 -51.93 -0.42 0.81 16 47 H 0.04 0.83 4.44 -51.93 -0.23 0.60 16 48 H 0.05 1.14 6.68 -51.93 -0.35 0.79 16 49 H 0.26 8.24 8.73 -40.82 -0.36 7.88 16 50 H 0.04 0.98 6.09 -51.93 -0.32 0.67 16 51 H 0.03 0.58 7.82 -51.93 -0.41 0.17 16 52 H 0.10 1.60 6.86 -51.93 -0.36 1.24 16 53 H 0.07 0.94 8.14 -51.93 -0.42 0.51 16 LS Contribution 403.00 15.07 6.07 6.07 Total: -1.00 -35.28 403.00 -8.22 -43.50 By element: Atomic # 1 Polarization: 8.02 SS G_CDS: -9.47 Total: -1.45 kcal Atomic # 6 Polarization: 0.77 SS G_CDS: 0.31 Total: 1.09 kcal Atomic # 7 Polarization: -52.36 SS G_CDS: -0.33 Total: -52.68 kcal Atomic # 8 Polarization: -19.06 SS G_CDS: -0.62 Total: -19.68 kcal Atomic # 14 Polarization: 27.34 SS G_CDS: -4.19 Total: 23.15 kcal Total LS contribution 6.07 Total: 6.07 kcal Total: -35.28 -8.22 -43.50 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. ZINC001131629093.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 -48.778 kcal (2) G-P(sol) polarization free energy of solvation -35.284 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -84.063 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.216 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.501 kcal (6) G-S(sol) free energy of system = (1) + (5) -92.279 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.23 seconds