Wall clock time and date at job start Sat Apr 11 2020 06:09:22 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 N 2 2 C 1.31633 * 1 3 3 Si 1.86796 * 119.99741 * 2 1 4 4 H 1.48504 * 109.46793 * 180.02562 * 3 2 1 5 5 H 1.48501 * 109.47282 * 300.00142 * 3 2 1 6 6 H 1.48500 * 109.47237 * 60.00639 * 3 2 1 7 7 C 1.38799 * 119.99674 * 180.02562 * 2 1 3 8 8 H 1.08005 * 119.99356 * 179.97438 * 7 2 1 9 9 S 1.76196 * 120.00626 * 359.97438 * 7 2 1 10 10 C 1.80997 * 100.00314 * 179.97438 * 9 7 2 11 11 C 1.50700 * 109.47151 * 179.97438 * 10 9 7 12 12 O 1.21283 * 119.99803 * 359.97438 * 11 10 9 13 13 N 1.34777 * 119.99675 * 180.27780 * 11 10 9 14 14 C 1.46927 * 120.63303 * 359.72079 * 13 11 10 15 15 C 1.53191 * 108.77356 * 233.58945 * 14 13 11 16 16 C 1.53040 * 109.31454 * 305.36260 * 15 14 13 17 17 C 1.53039 * 109.53579 * 61.36967 * 16 15 14 18 18 H 1.09003 * 109.50044 * 58.61656 * 17 16 15 19 19 N 1.46898 * 109.49823 * 178.68243 * 17 16 15 20 20 C 1.46904 * 111.00150 * 204.99755 * 19 17 16 21 21 C 1.53001 * 109.46869 * 179.97438 * 20 19 17 22 22 C 1.53002 * 109.47174 * 295.00049 * 21 20 19 23 23 C 1.52996 * 109.46767 * 180.02562 * 22 21 20 24 24 C 1.53007 * 109.47446 * 60.00234 * 23 22 21 25 25 C 1.52996 * 109.46650 * 299.99762 * 24 23 22 26 26 C 1.53001 * 109.47410 * 60.00264 * 25 24 23 27 27 C 1.46925 * 120.62614 * 179.44850 * 13 11 10 28 28 H 0.97003 * 120.00297 * 359.97438 * 1 2 3 29 29 H 1.09009 * 109.46810 * 59.99569 * 10 9 7 30 30 H 1.08998 * 109.46824 * 300.00078 * 10 9 7 31 31 H 1.08996 * 109.58591 * 353.37927 * 14 13 11 32 32 H 1.08997 * 109.58192 * 113.65624 * 14 13 11 33 33 H 1.08993 * 109.49844 * 65.32135 * 15 14 13 34 34 H 1.09007 * 109.49301 * 185.41492 * 15 14 13 35 35 H 1.08996 * 109.45698 * 181.38881 * 16 15 14 36 36 H 1.09000 * 109.45797 * 301.35151 * 16 15 14 37 37 H 1.00902 * 110.99806 * 81.04840 * 19 17 16 38 38 H 1.08995 * 109.47386 * 300.00110 * 20 19 17 39 39 H 1.09002 * 109.46833 * 60.00125 * 20 19 17 40 40 H 1.08991 * 109.47178 * 55.00647 * 21 20 19 41 41 H 1.09004 * 109.46961 * 300.00103 * 22 21 20 42 42 H 1.08994 * 109.47032 * 60.00283 * 22 21 20 43 43 H 1.08994 * 109.47591 * 300.00094 * 23 22 21 44 44 H 1.08999 * 109.47041 * 179.97438 * 23 22 21 45 45 H 1.08994 * 109.46919 * 179.97438 * 24 23 22 46 46 H 1.09004 * 109.46868 * 59.99563 * 24 23 22 47 47 H 1.08991 * 109.47617 * 299.99715 * 25 24 23 48 48 H 1.09007 * 109.46857 * 179.97438 * 25 24 23 49 49 H 1.08999 * 109.47449 * 179.97438 * 26 25 24 50 50 H 1.09004 * 109.47483 * 59.99357 * 26 25 24 51 51 H 1.09005 * 109.58329 * 246.19991 * 27 13 11 52 52 H 1.09000 * 109.58776 * 6.62153 * 27 13 11 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 7 0.0000 0.0000 0.0000 2 6 1.3163 0.0000 0.0000 3 14 2.2502 1.6177 0.0000 4 1 3.7103 1.3464 -0.0006 5 1 1.8915 2.3965 -1.2125 6 1 1.8916 2.3964 1.2126 7 6 2.0103 -1.2021 -0.0005 8 1 3.0903 -1.2020 -0.0010 9 16 1.1294 -2.7280 -0.0005 10 6 2.5159 -3.8914 -0.0021 11 6 1.9874 -5.3028 -0.0017 12 8 0.7911 -5.5023 0.0000 13 7 2.8442 -6.3431 0.0029 14 6 4.2960 -6.1173 0.0015 15 6 4.9152 -6.8977 -1.1623 16 6 4.5081 -8.3693 -1.0584 17 6 2.9853 -8.4870 -1.1540 18 1 2.6460 -8.0620 -2.0987 19 7 2.5977 -9.9023 -1.0858 20 6 1.3019 -10.1255 -1.7410 21 6 0.9332 -11.6076 -1.6503 22 6 1.9403 -12.4338 -2.4529 23 6 1.5711 -13.9158 -2.3626 24 6 0.1675 -14.1275 -2.9338 25 6 -0.8395 -13.3013 -2.1312 26 6 -0.4704 -11.8192 -2.2214 27 6 2.3442 -7.7246 0.0156 28 1 -0.4851 0.8400 0.0004 29 1 3.1252 -3.7317 0.8875 30 1 3.1238 -3.7309 -0.8925 31 1 4.5003 -5.0538 -0.1220 32 1 4.7206 -6.4639 0.9436 33 1 4.5578 -6.4871 -2.1066 34 1 6.0013 -6.8166 -1.1177 35 1 4.9675 -8.9313 -1.8714 36 1 4.8443 -8.7724 -0.1031 37 1 2.5804 -10.2268 -0.1305 38 1 0.5363 -9.5292 -1.2448 39 1 1.3692 -9.8316 -2.7885 40 1 0.9529 -11.9237 -0.6074 41 1 1.9205 -12.1176 -3.4959 42 1 2.9402 -12.2826 -2.0463 43 1 1.5905 -14.2323 -1.3198 44 1 2.2883 -14.5043 -2.9347 45 1 -0.0952 -15.1834 -2.8698 46 1 0.1481 -13.8110 -3.9767 47 1 -0.8201 -13.6177 -1.0884 48 1 -1.8394 -13.4518 -2.5383 49 1 -1.1881 -11.2306 -1.6500 50 1 -0.4898 -11.5027 -3.2643 51 1 2.6132 -8.2019 0.9579 52 1 1.2601 -7.7219 -0.0986 RHF calculation, no. of doubly occupied orbitals= 63 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). S: (AM1): M.J.S. DEWAR, Y.-C. YUAN, INORGANIC CHEM., 29, 589 (1990) 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 ZINC001207429514.mol2 52 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 06:09:22 Heat of formation + Delta-G solvation = -69.853692 kcal Electronic energy + Delta-G solvation = -27438.464220 eV Core-core repulsion = 23755.225749 eV Total energy + Delta-G solvation = -3683.238471 eV No. of doubly occupied orbitals = 63 Molecular weight (most abundant/longest-lived isotopes) = 340.193 amu Computer time = 0.69 seconds Orbital eigenvalues (eV) -40.09416 -39.07239 -37.56895 -35.43494 -32.72069 -32.43894 -31.73329 -30.99682 -29.92668 -28.25774 -25.58786 -25.06139 -24.88361 -22.88888 -22.51521 -21.43313 -20.81938 -19.93078 -19.06295 -17.69622 -16.77222 -16.30525 -15.71531 -15.37427 -15.19736 -14.93716 -14.81577 -14.71437 -14.45877 -14.30180 -14.17027 -13.89051 -13.76112 -13.24710 -13.10429 -12.90770 -12.59229 -12.51009 -12.42489 -12.14164 -12.12579 -11.90990 -11.50486 -11.38074 -11.21439 -11.09276 -11.08157 -11.03329 -10.99021 -10.83460 -10.76106 -10.68118 -10.30635 -10.23513 -9.81020 -9.41247 -9.08662 -8.90305 -8.30916 -8.23195 -6.51502 -6.22898 -3.93546 2.90150 3.02920 3.20585 3.24862 3.30065 3.56290 3.87607 4.18924 4.37175 4.48911 4.52700 4.61003 4.66440 4.83400 4.84346 4.87553 4.99781 5.03453 5.10592 5.11829 5.12345 5.21578 5.24439 5.27119 5.38042 5.39427 5.40941 5.49434 5.57506 5.59335 5.62215 5.64601 5.68571 5.75891 5.77213 5.84893 5.86672 5.88511 5.88776 5.93127 6.01482 6.05616 6.10200 6.11515 6.17937 6.23471 6.52627 6.83874 7.12581 7.54170 7.58839 8.34174 8.54001 9.22484 10.84582 Molecular weight = 340.19amu Principal moments of inertia in cm(-1) A = 0.020778 B = 0.001979 C = 0.001846 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1347.274736 B =14143.170461 C =15163.697800 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 N -0.867 5.867 2 C 0.073 3.927 3 Si 0.919 3.081 4 H -0.271 1.271 5 H -0.280 1.280 6 H -0.280 1.280 7 C -0.534 4.534 8 H 0.073 0.927 9 S -0.062 6.062 10 C -0.150 4.150 11 C 0.534 3.466 12 O -0.519 6.519 13 N -0.617 5.617 14 C 0.107 3.893 15 C -0.135 4.135 16 C -0.104 4.104 17 C 0.074 3.926 18 H 0.082 0.918 19 N -0.677 5.677 20 C 0.059 3.941 21 C -0.082 4.082 22 C -0.105 4.105 23 C -0.121 4.121 24 C -0.120 4.120 25 C -0.118 4.118 26 C -0.116 4.116 27 C 0.087 3.913 28 H 0.268 0.732 29 H 0.089 0.911 30 H 0.089 0.911 31 H 0.090 0.910 32 H 0.066 0.934 33 H 0.069 0.931 34 H 0.077 0.923 35 H 0.071 0.929 36 H 0.062 0.938 37 H 0.339 0.661 38 H 0.035 0.965 39 H 0.072 0.928 40 H 0.067 0.933 41 H 0.057 0.943 42 H 0.073 0.927 43 H 0.059 0.941 44 H 0.058 0.942 45 H 0.057 0.943 46 H 0.060 0.940 47 H 0.060 0.940 48 H 0.060 0.940 49 H 0.062 0.938 50 H 0.063 0.937 51 H 0.061 0.939 52 H 0.089 0.911 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 8.104 -26.832 -3.593 28.259 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 N -0.503 5.503 2 C -0.136 4.136 3 Si 0.745 3.255 4 H -0.196 1.196 5 H -0.206 1.206 6 H -0.206 1.206 7 C -0.683 4.683 8 H 0.091 0.909 9 S 0.164 5.836 10 C -0.300 4.300 11 C 0.322 3.678 12 O -0.393 6.393 13 N -0.353 5.353 14 C -0.017 4.017 15 C -0.174 4.174 16 C -0.142 4.142 17 C -0.037 4.037 18 H 0.100 0.900 19 N -0.307 5.307 20 C -0.071 4.071 21 C -0.101 4.101 22 C -0.142 4.142 23 C -0.159 4.159 24 C -0.158 4.158 25 C -0.155 4.155 26 C -0.154 4.154 27 C -0.038 4.038 28 H 0.078 0.922 29 H 0.107 0.893 30 H 0.108 0.892 31 H 0.108 0.892 32 H 0.085 0.915 33 H 0.087 0.913 34 H 0.096 0.904 35 H 0.089 0.911 36 H 0.081 0.919 37 H 0.157 0.843 38 H 0.053 0.947 39 H 0.091 0.909 40 H 0.086 0.914 41 H 0.076 0.924 42 H 0.092 0.908 43 H 0.077 0.923 44 H 0.077 0.923 45 H 0.076 0.924 46 H 0.079 0.921 47 H 0.079 0.921 48 H 0.078 0.922 49 H 0.080 0.920 50 H 0.081 0.919 51 H 0.080 0.920 52 H 0.107 0.893 Dipole moment (debyes) X Y Z Total from point charges 6.516 -27.198 -4.155 28.274 hybrid contribution 1.368 1.704 0.692 2.293 sum 7.884 -25.493 -3.462 26.908 Atomic orbital electron populations 1.70031 1.05955 1.27347 1.46934 1.25000 0.95035 0.99050 0.94544 0.86112 0.79584 0.81863 0.77909 1.19601 1.20561 1.20557 1.22899 0.94921 0.91595 1.58843 0.90878 1.85407 1.05052 0.96399 1.96693 1.23549 1.06445 0.95325 1.04708 1.20372 0.86204 0.86271 0.74907 1.90685 1.15246 1.85243 1.48136 1.48040 1.06485 1.05363 1.75459 1.21749 0.79858 1.01613 0.98451 1.21937 1.00717 0.95579 0.99197 1.21464 0.94446 0.95764 1.02511 1.22050 0.95855 0.87180 0.98570 0.90022 1.60658 1.30569 1.17095 1.22340 1.22100 0.89559 0.95648 0.99746 1.21143 0.94777 0.94269 0.99941 1.21473 0.99248 0.93511 0.99995 1.21566 0.96367 0.97058 1.00879 1.21548 0.95208 0.99386 0.99653 1.21507 0.98553 0.95127 1.00360 1.21568 0.96169 0.96287 1.01404 1.22359 1.00966 0.82273 0.98171 0.92236 0.89268 0.89237 0.89185 0.91547 0.91272 0.90442 0.91059 0.91896 0.84300 0.94715 0.90943 0.91422 0.92416 0.90829 0.92272 0.92334 0.92430 0.92129 0.92130 0.92164 0.91958 0.91868 0.92029 0.89266 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 N -0.87 -26.20 13.22 55.49 0.73 -25.47 16 2 C 0.07 2.08 5.49 -17.43 -0.10 1.99 16 3 Si 0.92 21.40 29.55 -169.99 -5.02 16.37 16 4 H -0.27 -6.11 7.11 56.52 0.40 -5.71 16 5 H -0.28 -6.41 7.11 56.52 0.40 -6.01 16 6 H -0.28 -6.41 7.11 56.52 0.40 -6.01 16 7 C -0.53 -15.23 9.50 30.94 0.29 -14.94 16 8 H 0.07 1.97 7.80 -52.48 -0.41 1.56 16 9 S -0.06 -1.70 20.57 -107.50 -2.21 -3.91 16 10 C -0.15 -3.06 4.50 36.01 0.16 -2.90 16 11 C 0.53 10.30 7.72 -10.98 -0.08 10.22 16 12 O -0.52 -12.01 15.27 5.55 0.08 -11.92 16 13 N -0.62 -8.82 2.97 -172.50 -0.51 -9.33 16 14 C 0.11 1.16 6.34 -3.71 -0.02 1.14 16 15 C -0.14 -1.21 6.08 -26.61 -0.16 -1.37 16 16 C -0.10 -0.89 5.49 -26.69 -0.15 -1.03 16 17 C 0.07 0.74 2.63 -67.37 -0.18 0.56 16 18 H 0.08 0.97 7.80 -51.93 -0.41 0.56 16 19 N -0.68 -5.74 5.71 -106.36 -0.61 -6.35 16 20 C 0.06 0.52 4.87 -3.82 -0.02 0.50 16 21 C -0.08 -0.62 2.33 -90.61 -0.21 -0.83 16 22 C -0.10 -0.77 5.09 -26.73 -0.14 -0.90 16 23 C -0.12 -0.80 5.92 -26.73 -0.16 -0.96 16 24 C -0.12 -0.78 5.92 -26.73 -0.16 -0.94 16 25 C -0.12 -0.80 5.92 -26.73 -0.16 -0.96 16 26 C -0.12 -0.88 5.20 -26.73 -0.14 -1.01 16 27 C 0.09 1.07 5.71 -3.49 -0.02 1.05 16 28 H 0.27 7.49 8.31 -40.82 -0.34 7.15 16 29 H 0.09 1.69 7.94 -51.91 -0.41 1.28 16 30 H 0.09 1.69 7.69 -51.92 -0.40 1.30 16 31 H 0.09 1.01 5.94 -51.93 -0.31 0.70 16 32 H 0.07 0.63 8.14 -51.93 -0.42 0.20 16 33 H 0.07 0.69 8.14 -51.93 -0.42 0.27 16 34 H 0.08 0.55 8.14 -51.93 -0.42 0.13 16 35 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 36 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 37 H 0.34 2.60 8.42 -39.29 -0.33 2.27 16 38 H 0.03 0.35 7.58 -51.93 -0.39 -0.04 16 39 H 0.07 0.70 8.06 -51.93 -0.42 0.28 16 40 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 41 H 0.06 0.46 8.14 -51.93 -0.42 0.03 16 42 H 0.07 0.58 7.75 -51.93 -0.40 0.18 16 43 H 0.06 0.39 8.14 -51.93 -0.42 -0.03 16 44 H 0.06 0.36 8.14 -51.93 -0.42 -0.06 16 45 H 0.06 0.34 8.14 -51.93 -0.42 -0.08 16 46 H 0.06 0.40 8.14 -51.93 -0.42 -0.02 16 47 H 0.06 0.41 8.14 -51.93 -0.42 -0.01 16 48 H 0.06 0.39 8.14 -51.92 -0.42 -0.04 16 49 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 50 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 51 H 0.06 0.67 8.06 -51.93 -0.42 0.25 16 52 H 0.09 1.31 6.50 -51.93 -0.34 0.97 16 LS Contribution 411.32 15.07 6.20 6.20 Total: -1.00 -32.90 411.32 -12.28 -45.18 By element: Atomic # 1 Polarization: 9.34 SS G_CDS: -9.71 Total: -0.38 kcal Atomic # 6 Polarization: -9.16 SS G_CDS: -1.23 Total: -10.40 kcal Atomic # 7 Polarization: -40.76 SS G_CDS: -0.38 Total: -41.15 kcal Atomic # 8 Polarization: -12.01 SS G_CDS: 0.08 Total: -11.92 kcal Atomic # 14 Polarization: 21.40 SS G_CDS: -5.02 Total: 16.37 kcal Atomic # 16 Polarization: -1.70 SS G_CDS: -2.21 Total: -3.91 kcal Total LS contribution 6.20 Total: 6.20 kcal Total: -32.90 -12.28 -45.18 kcal The number of atoms in the molecule is 52 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. ZINC001207429514.mol2 52 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 -24.669 kcal (2) G-P(sol) polarization free energy of solvation -32.902 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -57.571 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -12.282 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.184 kcal (6) G-S(sol) free energy of system = (1) + (5) -69.854 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.69 seconds