Wall clock time and date at job start Sat Apr 11 2020 06:10:35 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 1.53002 * 109.47013 * 2 1 4 4 H 1.09004 * 109.46930 * 305.00026 * 3 2 1 5 5 C 1.50703 * 109.47292 * 185.00051 * 3 2 1 6 6 H 1.07994 * 119.99399 * 240.00067 * 5 3 2 7 7 C 1.37874 * 119.99789 * 59.99693 * 5 3 2 8 8 N 1.31518 * 120.00144 * 0.02562 * 7 5 3 9 9 Si 1.86803 * 119.99733 * 179.97438 * 7 5 3 10 10 H 1.48490 * 109.47181 * 0.02562 * 9 7 5 11 11 H 1.48498 * 109.46716 * 120.00463 * 9 7 5 12 12 H 1.48500 * 109.46999 * 240.00161 * 9 7 5 13 13 N 1.46506 * 109.47035 * 64.99796 * 3 2 1 14 14 C 1.34767 * 120.00003 * 274.99925 * 13 3 2 15 15 O 1.21281 * 120.00199 * 0.02562 * 14 13 3 16 16 C 1.50706 * 119.99889 * 179.97438 * 14 13 3 17 17 N 1.46498 * 109.46996 * 180.02562 * 16 14 13 18 18 C 1.46499 * 120.00540 * 270.00021 * 17 16 14 19 19 C 1.52997 * 109.46859 * 89.99964 * 18 17 16 20 20 C 1.53005 * 117.50156 * 243.62155 * 19 18 17 21 21 C 1.52993 * 60.00309 * 252.51276 * 20 19 18 22 22 C 1.34776 * 120.00135 * 90.00477 * 17 16 14 23 23 O 1.21519 * 119.99759 * 359.97438 * 22 17 16 24 24 O 1.34641 * 120.00610 * 179.97438 * 22 17 16 25 25 C 1.45193 * 117.00093 * 180.02562 * 24 22 17 26 26 C 1.52995 * 109.47241 * 60.00044 * 25 24 22 27 27 C 1.53001 * 109.47184 * 180.02562 * 25 24 22 28 28 C 1.53002 * 109.47474 * 300.00001 * 25 24 22 29 29 H 1.09001 * 109.46690 * 180.02562 * 1 2 3 30 30 H 1.09007 * 109.47116 * 299.99803 * 1 2 3 31 31 H 1.08988 * 109.47502 * 60.00190 * 1 2 3 32 32 H 1.08997 * 109.47159 * 240.00180 * 2 1 3 33 33 H 1.09005 * 109.47284 * 119.99696 * 2 1 3 34 34 H 0.96997 * 119.99752 * 179.97438 * 8 7 5 35 35 H 0.96996 * 119.99678 * 95.00711 * 13 3 2 36 36 H 1.08994 * 109.47394 * 300.00422 * 16 14 13 37 37 H 1.09001 * 109.46828 * 60.00478 * 16 14 13 38 38 H 1.08999 * 109.47510 * 210.00601 * 18 17 16 39 39 H 1.09003 * 109.46657 * 330.00736 * 18 17 16 40 40 H 1.09001 * 115.55143 * 29.33700 * 19 18 17 41 41 H 1.09000 * 117.49780 * 0.02562 * 20 19 18 42 42 H 1.09006 * 117.49376 * 145.02059 * 20 19 18 43 43 H 1.08999 * 117.50350 * 252.50918 * 21 20 19 44 44 H 1.09000 * 117.49982 * 107.48766 * 21 20 19 45 45 H 1.09003 * 109.47269 * 60.00408 * 26 25 24 46 46 H 1.09008 * 109.47124 * 179.97438 * 26 25 24 47 47 H 1.08999 * 109.47639 * 300.00114 * 26 25 24 48 48 H 1.09002 * 109.47360 * 59.99575 * 27 25 24 49 49 H 1.08999 * 109.47662 * 180.02562 * 27 25 24 50 50 H 1.08999 * 109.47028 * 300.00217 * 27 25 24 51 51 H 1.09002 * 109.46713 * 59.99648 * 28 25 24 52 52 H 1.08994 * 109.47797 * 180.02562 * 28 25 24 53 53 H 1.09004 * 109.47230 * 300.00834 * 28 25 24 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 2.0400 1.4425 0.0000 4 1 1.6053 1.9815 -0.8419 5 6 3.5419 1.4444 -0.1238 6 1 4.1471 1.8890 0.6523 7 6 4.1432 0.8785 -1.2280 8 7 3.4061 0.3375 -2.1733 9 14 6.0049 0.8814 -1.3818 10 1 6.5987 1.5465 -0.1943 11 1 6.4970 -0.5173 -1.4630 12 1 6.3989 1.6169 -2.6102 13 7 1.6523 2.0975 1.2518 14 6 0.4351 2.6644 1.3669 15 8 -0.3396 2.6319 0.4344 16 6 0.0362 3.3376 2.6549 17 7 -1.3227 3.8698 2.5271 18 6 -1.5321 5.2337 2.0350 19 6 -1.6730 5.2102 0.5117 20 6 -0.6079 5.9417 -0.3077 21 6 -2.0159 6.5278 -0.1865 22 6 -2.3804 3.1047 2.8624 23 8 -2.2068 1.9733 3.2702 24 8 -3.6294 3.5939 2.7455 25 6 -4.7201 2.7142 3.1253 26 6 -4.5691 2.3200 4.5958 27 6 -6.0529 3.4385 2.9253 28 6 -4.6881 1.4566 2.2543 29 1 -0.3633 -1.0277 0.0005 30 1 -0.3634 0.5138 0.8901 31 1 -0.3634 0.5137 -0.8899 32 1 1.8933 -0.5138 -0.8900 33 1 1.8934 -0.5138 0.8900 34 1 3.8292 -0.0603 -2.9502 35 1 2.2719 2.1233 1.9977 36 1 0.0672 2.6130 3.4685 37 1 0.7275 4.1530 2.8679 38 1 -2.4396 5.6444 2.4776 39 1 -0.6799 5.8545 2.3115 40 1 -2.0906 4.2949 0.0923 41 1 0.1935 6.4393 0.2384 42 1 -0.3243 5.5073 -1.2665 43 1 -2.6587 6.4793 -1.0654 44 1 -2.1410 7.4113 0.4394 45 1 -4.5920 3.2158 5.2164 46 1 -5.3883 1.6598 4.8811 47 1 -3.6196 1.8038 4.7380 48 1 -6.1603 3.7191 1.8775 49 1 -6.8718 2.7783 3.2108 50 1 -6.0760 4.3346 3.5454 51 1 -3.7386 0.9405 2.3964 52 1 -5.5072 0.7963 2.5391 53 1 -4.7956 1.7374 1.2066 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 ZINC000183962120.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 06:10:35 Heat of formation + Delta-G solvation = -94.377006 kcal Electronic energy + Delta-G solvation = -32393.984596 eV Core-core repulsion = 28266.929844 eV Total energy + Delta-G solvation = -4127.054753 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -40.80890 -39.10155 -37.71085 -36.84365 -35.13777 -34.62052 -33.78611 -32.33735 -30.97011 -28.66909 -27.50133 -27.38442 -26.93882 -26.21599 -23.09155 -22.22291 -22.06412 -20.74489 -20.29455 -19.30446 -19.15562 -17.81292 -17.30208 -16.75655 -16.11938 -15.77134 -15.43662 -15.12360 -14.96482 -14.61940 -14.43078 -14.04309 -14.00757 -13.93966 -13.35488 -12.94846 -12.74364 -12.64208 -12.59625 -12.38743 -12.28403 -11.95076 -11.86226 -11.72692 -11.61192 -11.36613 -11.35501 -11.29483 -11.24344 -11.21178 -10.94117 -10.79961 -10.33898 -10.29932 -10.24800 -10.10716 -9.90505 -9.74139 -9.55452 -9.33225 -8.98730 -8.50463 -8.38613 -7.73698 -6.10135 -4.19295 2.15127 2.99273 3.24095 3.32143 3.34447 3.47612 3.77404 4.00778 4.21955 4.42911 4.66721 4.70330 4.84946 4.86857 4.98368 5.13568 5.20986 5.23533 5.35794 5.36649 5.44148 5.47900 5.53499 5.57613 5.59090 5.64019 5.70843 5.72712 5.80026 5.83421 5.90316 6.10833 6.21127 6.29593 6.34556 6.39825 6.47456 6.51882 6.55885 6.63057 6.75741 7.14047 7.26738 7.42690 7.44390 7.53235 7.66419 7.78418 7.94673 8.22803 8.46335 8.73253 8.82088 9.21265 9.48481 10.94996 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014685 B = 0.003262 C = 0.002944 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1906.207229 B = 8580.741900 C = 9508.288166 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.134 4.134 2 C -0.126 4.126 3 C 0.275 3.725 4 H 0.048 0.952 5 C -0.532 4.532 6 H 0.061 0.939 7 C 0.066 3.934 8 N -0.882 5.882 9 Si 0.899 3.101 10 H -0.273 1.273 11 H -0.283 1.283 12 H -0.283 1.283 13 N -0.710 5.710 14 C 0.485 3.515 15 O -0.530 6.530 16 C 0.108 3.892 17 N -0.572 5.572 18 C 0.150 3.850 19 C -0.154 4.154 20 C -0.169 4.169 21 C -0.184 4.184 22 C 0.660 3.340 23 O -0.564 6.564 24 O -0.359 6.359 25 C 0.136 3.864 26 C -0.182 4.182 27 C -0.139 4.139 28 C -0.183 4.183 29 H 0.019 0.981 30 H 0.042 0.958 31 H 0.046 0.954 32 H 0.096 0.904 33 H 0.029 0.971 34 H 0.263 0.737 35 H 0.386 0.614 36 H 0.109 0.891 37 H 0.104 0.896 38 H 0.086 0.914 39 H 0.078 0.922 40 H 0.117 0.883 41 H 0.089 0.911 42 H 0.094 0.906 43 H 0.090 0.910 44 H 0.089 0.911 45 H 0.057 0.943 46 H 0.067 0.933 47 H 0.088 0.912 48 H 0.066 0.934 49 H 0.077 0.923 50 H 0.064 0.936 51 H 0.090 0.910 52 H 0.066 0.934 53 H 0.060 0.940 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.222 10.013 11.662 20.941 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 -0.192 4.192 2 C -0.165 4.165 3 C 0.173 3.827 4 H 0.065 0.935 5 C -0.571 4.571 6 H 0.079 0.921 7 C -0.137 4.137 8 N -0.519 5.519 9 Si 0.727 3.273 10 H -0.198 1.198 11 H -0.209 1.209 12 H -0.210 1.210 13 N -0.359 5.359 14 C 0.268 3.732 15 O -0.407 6.407 16 C -0.018 4.018 17 N -0.310 5.310 18 C 0.027 3.973 19 C -0.173 4.173 20 C -0.206 4.206 21 C -0.222 4.222 22 C 0.416 3.584 23 O -0.453 6.453 24 O -0.274 6.274 25 C 0.099 3.901 26 C -0.239 4.239 27 C -0.196 4.196 28 C -0.240 4.240 29 H 0.038 0.962 30 H 0.061 0.939 31 H 0.065 0.935 32 H 0.115 0.885 33 H 0.048 0.952 34 H 0.073 0.927 35 H 0.218 0.782 36 H 0.127 0.873 37 H 0.122 0.878 38 H 0.105 0.895 39 H 0.096 0.904 40 H 0.135 0.865 41 H 0.107 0.893 42 H 0.112 0.888 43 H 0.108 0.892 44 H 0.108 0.892 45 H 0.076 0.924 46 H 0.086 0.914 47 H 0.107 0.893 48 H 0.086 0.914 49 H 0.096 0.904 50 H 0.083 0.917 51 H 0.108 0.892 52 H 0.085 0.915 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges -14.793 9.516 10.936 20.712 hybrid contribution 1.380 -0.167 0.055 1.391 sum -13.413 9.349 10.991 19.700 Atomic orbital electron populations 1.21808 0.98234 0.97886 1.01260 1.21921 0.92661 0.99898 1.02050 1.18720 0.93949 0.89065 0.80980 0.93464 1.21282 0.90850 1.38774 1.06146 0.92106 1.24886 0.98473 0.94889 0.95469 1.69914 1.34945 1.37750 1.09323 0.86431 0.85073 0.77754 0.78055 1.19757 1.20931 1.20956 1.46440 1.14616 1.56310 1.18505 1.20673 0.83022 0.79997 0.89474 1.90655 1.51022 1.59028 1.40044 1.21429 0.81541 1.00363 0.98436 1.46193 1.03477 1.14408 1.66944 1.21169 1.02189 0.81574 0.92378 1.22723 1.04153 0.96685 0.93742 1.22926 0.91699 1.03364 1.02616 1.22925 0.99503 0.96791 1.02945 1.17849 0.80840 0.82874 0.76880 1.90897 1.85379 1.17721 1.51333 1.86299 1.13809 1.46258 1.81029 1.22016 0.83805 0.89358 0.94916 1.22512 1.04846 1.02190 0.94384 1.21837 0.93661 1.00903 1.03201 1.22500 1.04830 0.97103 0.99596 0.96198 0.93857 0.93514 0.88534 0.95172 0.92700 0.78168 0.87344 0.87757 0.89538 0.90381 0.86541 0.89295 0.88789 0.89165 0.89243 0.92409 0.91372 0.89318 0.91448 0.90372 0.91683 0.89168 0.91497 0.92094 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 -0.13 -3.15 8.51 37.16 0.32 -2.84 16 2 C -0.13 -3.14 5.45 -26.73 -0.15 -3.28 16 3 C 0.27 6.82 2.24 -69.08 -0.15 6.67 16 4 H 0.05 1.36 7.58 -51.93 -0.39 0.97 16 5 C -0.53 -13.88 8.73 -34.44 -0.30 -14.18 16 6 H 0.06 1.52 7.74 -52.49 -0.41 1.11 16 7 C 0.07 1.76 5.29 -17.82 -0.09 1.67 16 8 N -0.88 -24.73 11.29 55.43 0.63 -24.11 16 9 Si 0.90 20.55 29.54 -169.99 -5.02 15.53 16 10 H -0.27 -6.09 7.11 56.52 0.40 -5.68 16 11 H -0.28 -6.47 7.11 56.52 0.40 -6.07 16 12 H -0.28 -6.50 7.11 56.52 0.40 -6.10 16 13 N -0.71 -14.24 5.02 -54.92 -0.28 -14.52 16 14 C 0.49 9.18 6.47 -10.99 -0.07 9.11 16 15 O -0.53 -11.69 11.54 5.56 0.06 -11.62 16 16 C 0.11 1.54 5.93 -5.19 -0.03 1.51 16 17 N -0.57 -8.18 2.02 -180.86 -0.37 -8.55 16 18 C 0.15 1.78 5.74 -4.04 -0.02 1.76 16 19 C -0.15 -2.12 4.85 -90.62 -0.44 -2.56 16 20 C -0.17 -2.29 10.18 -26.73 -0.27 -2.56 16 21 C -0.18 -2.10 10.25 -26.73 -0.27 -2.37 16 22 C 0.66 10.45 7.70 54.05 0.42 10.86 16 23 O -0.56 -10.14 11.46 -19.29 -0.22 -10.36 16 24 O -0.36 -5.02 8.71 -40.33 -0.35 -5.37 16 25 C 0.14 1.60 1.13 -90.62 -0.10 1.50 16 26 C -0.18 -1.98 8.37 37.15 0.31 -1.67 16 27 C -0.14 -1.20 8.85 37.16 0.33 -0.87 16 28 C -0.18 -2.36 8.37 37.16 0.31 -2.05 16 29 H 0.02 0.42 8.14 -51.93 -0.42 0.00 16 30 H 0.04 1.02 5.64 -51.93 -0.29 0.72 16 31 H 0.05 1.16 7.85 -51.94 -0.41 0.75 16 32 H 0.10 2.65 5.95 -51.93 -0.31 2.34 16 33 H 0.03 0.72 8.14 -51.93 -0.42 0.30 16 34 H 0.26 7.02 8.31 -40.82 -0.34 6.68 16 35 H 0.39 6.71 8.54 -40.82 -0.35 6.36 16 36 H 0.11 1.50 7.42 -51.93 -0.39 1.12 16 37 H 0.10 1.13 7.89 -51.93 -0.41 0.72 16 38 H 0.09 0.93 7.37 -51.93 -0.38 0.54 16 39 H 0.08 0.77 7.63 -51.93 -0.40 0.37 16 40 H 0.12 2.04 7.34 -51.93 -0.38 1.66 16 41 H 0.09 1.09 8.03 -51.93 -0.42 0.68 16 42 H 0.09 1.46 8.14 -51.93 -0.42 1.04 16 43 H 0.09 1.01 8.14 -51.93 -0.42 0.59 16 44 H 0.09 0.84 8.14 -51.93 -0.42 0.42 16 45 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 46 H 0.07 0.61 8.14 -51.92 -0.42 0.18 16 47 H 0.09 1.19 5.88 -51.93 -0.31 0.89 16 48 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 49 H 0.08 0.53 8.14 -51.93 -0.42 0.11 16 50 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 51 H 0.09 1.46 5.88 -51.93 -0.31 1.15 16 52 H 0.07 0.70 8.14 -51.93 -0.42 0.27 16 53 H 0.06 0.81 8.14 -51.93 -0.42 0.39 16 LS Contribution 415.74 15.07 6.27 6.27 Total: -1.00 -31.29 415.74 -8.85 -40.15 By element: Atomic # 1 Polarization: 21.25 SS G_CDS: -9.35 Total: 11.90 kcal Atomic # 6 Polarization: 0.91 SS G_CDS: -0.22 Total: 0.68 kcal Atomic # 7 Polarization: -47.16 SS G_CDS: -0.02 Total: -47.18 kcal Atomic # 8 Polarization: -26.84 SS G_CDS: -0.51 Total: -27.35 kcal Atomic # 14 Polarization: 20.55 SS G_CDS: -5.02 Total: 15.53 kcal Total LS contribution 6.27 Total: 6.27 kcal Total: -31.29 -8.85 -40.15 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. ZINC000183962120.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 -54.230 kcal (2) G-P(sol) polarization free energy of solvation -31.293 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -85.524 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.853 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.147 kcal (6) G-S(sol) free energy of system = (1) + (5) -94.377 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds