Wall clock time and date at job start Tue Mar 31 2020 23:41:09 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 O 1.42895 * 1 3 3 C 1.42894 * 114.00264 * 2 1 4 4 C 1.52998 * 109.47345 * 179.97438 * 3 2 1 5 5 C 1.50701 * 109.54665 * 300.00523 * 4 3 2 6 6 O 1.21280 * 119.99796 * 239.82310 * 5 4 3 7 7 N 1.34770 * 120.00174 * 59.81712 * 5 4 3 8 8 C 1.46495 * 120.00299 * 180.02562 * 7 5 4 9 9 H 1.09001 * 109.46246 * 324.97118 * 8 7 5 10 10 C 1.53040 * 109.46134 * 84.93222 * 8 7 5 11 11 C 1.52761 * 109.38257 * 181.26268 * 10 8 7 12 12 N 1.46934 * 109.01035 * 305.58944 * 11 10 8 13 13 C 1.36939 * 120.62841 * 233.58699 * 12 11 10 14 14 H 1.07997 * 119.99625 * 151.84693 * 13 12 11 15 15 C 1.38812 * 119.99875 * 331.85054 * 13 12 11 16 16 N 1.31617 * 120.00330 * 343.00488 * 15 13 12 17 17 Si 1.86797 * 119.99762 * 163.00212 * 15 13 12 18 18 H 1.48505 * 109.47518 * 266.23499 * 17 15 13 19 19 H 1.48509 * 109.47277 * 26.23582 * 17 15 13 20 20 H 1.48503 * 109.47111 * 146.23246 * 17 15 13 21 21 C 1.46919 * 118.73640 * 53.30668 * 12 11 10 22 22 H 1.09003 * 109.58585 * 186.85967 * 21 12 11 23 23 C 1.52993 * 109.58962 * 66.57990 * 21 12 11 24 24 C 1.53049 * 109.46113 * 205.00024 * 8 7 5 25 25 C 1.53178 * 109.61427 * 60.22334 * 4 3 2 26 26 C 1.53100 * 109.16498 * 176.89131 * 25 4 3 27 27 O 1.42906 * 109.41097 * 302.39451 * 26 25 4 28 28 C 1.42894 * 114.10101 * 61.15783 * 27 26 25 29 29 C 1.53090 * 109.41682 * 298.83968 * 28 27 26 30 30 H 1.08999 * 109.47551 * 179.97438 * 1 2 3 31 31 H 1.09001 * 109.47077 * 299.99566 * 1 2 3 32 32 H 1.09006 * 109.47283 * 59.99645 * 1 2 3 33 33 H 1.09003 * 109.47158 * 60.00291 * 3 2 1 34 34 H 1.08994 * 109.47634 * 300.00129 * 3 2 1 35 35 H 0.97010 * 119.99919 * 0.02562 * 7 5 4 36 36 H 1.08994 * 109.49625 * 301.33352 * 10 8 7 37 37 H 1.08994 * 109.50095 * 61.40708 * 10 8 7 38 38 H 1.08996 * 109.51251 * 185.70613 * 11 10 8 39 39 H 1.08996 * 109.43646 * 65.42100 * 11 10 8 40 40 H 0.96996 * 119.99911 * 180.02562 * 16 15 13 41 41 H 1.09002 * 109.47486 * 59.99576 * 23 21 12 42 42 H 1.09002 * 109.47380 * 179.97438 * 23 21 12 43 43 H 1.09001 * 109.46926 * 299.99978 * 23 21 12 44 44 H 1.09002 * 109.49228 * 58.66333 * 24 8 7 45 45 H 1.08995 * 109.49673 * 298.56495 * 24 8 7 46 46 H 1.08995 * 109.52827 * 296.79826 * 25 4 3 47 47 H 1.09002 * 109.51802 * 56.99090 * 25 4 3 48 48 H 1.09001 * 109.48213 * 182.41238 * 26 25 4 49 49 H 1.08992 * 109.47691 * 62.37613 * 26 25 4 50 50 H 1.09004 * 109.48359 * 178.85616 * 28 27 26 51 51 H 1.09003 * 109.48980 * 58.82398 * 28 27 26 52 52 H 1.09004 * 109.52230 * 297.70291 * 29 28 27 53 53 H 1.09004 * 109.57869 * 177.54291 * 29 28 27 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 8 1.4290 0.0000 0.0000 3 6 2.0102 1.3054 0.0000 4 6 3.5354 1.1846 0.0006 5 6 3.9815 0.4370 1.2308 6 8 4.7259 0.9689 2.0269 7 7 3.5531 -0.8225 1.4463 8 6 3.9862 -1.5490 2.6424 9 1 5.0119 -1.2710 2.8847 10 6 3.0707 -1.1917 3.8155 11 6 3.5429 -1.9259 5.0691 12 7 3.6208 -3.3645 4.7804 13 6 2.9732 -4.2717 5.5759 14 1 2.6411 -5.2124 5.1621 15 6 2.7435 -3.9822 6.9139 16 7 3.4179 -3.0182 7.5039 17 14 1.4770 -4.9607 7.8771 18 1 0.1716 -4.2536 7.8394 19 1 1.3275 -6.3084 7.2714 20 1 1.9249 -5.0983 9.2863 21 6 4.4016 -3.8105 3.6186 22 1 4.2604 -4.8815 3.4728 23 6 5.8845 -3.5162 3.8535 24 6 3.9152 -3.0548 2.3780 25 6 3.9919 0.4294 -1.2514 26 6 5.5219 0.3821 -1.2799 27 8 6.0389 1.7141 -1.2511 28 6 5.6837 2.4526 -0.0805 29 6 4.1603 2.5831 -0.0038 30 1 -0.3634 -1.0276 -0.0005 31 1 -0.3633 0.5138 0.8900 32 1 -0.3634 0.5139 -0.8900 33 1 1.6886 1.8463 0.8900 34 1 1.6887 1.8464 -0.8899 35 1 2.9579 -1.2480 0.8093 36 1 3.1039 -0.1160 3.9883 37 1 2.0487 -1.4916 3.5840 38 1 2.8354 -1.7537 5.8801 39 1 4.5276 -1.5570 5.3561 40 1 3.2576 -2.8161 8.4389 41 1 6.2238 -4.0465 4.7432 42 1 6.4620 -3.8482 2.9907 43 1 6.0243 -2.4443 3.9940 44 1 4.5494 -3.3051 1.5276 45 1 2.8853 -3.3377 2.1602 46 1 3.5965 -0.5861 -1.2289 47 1 3.6268 0.9438 -2.1404 48 1 5.8533 -0.1168 -2.1906 49 1 5.8848 -0.1676 -0.4115 50 1 6.1317 3.4453 -0.1271 51 1 6.0487 1.9302 0.8038 52 1 3.7986 3.1409 -0.8675 53 1 3.8843 3.1082 0.9107 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 ZINC001484980168.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 23:41:09 Heat of formation + Delta-G solvation = -114.589799 kcal Electronic energy + Delta-G solvation = -32873.315190 eV Core-core repulsion = 28745.383945 eV Total energy + Delta-G solvation = -4127.931245 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.21 seconds Orbital eigenvalues (eV) -41.01794 -38.65601 -37.97955 -37.40444 -34.43222 -34.30338 -32.47624 -31.28506 -30.65748 -29.45587 -28.40365 -26.89698 -26.24168 -24.53203 -23.75339 -23.46964 -22.39571 -21.82612 -21.01791 -19.52607 -18.19018 -17.16224 -16.68827 -16.58004 -16.48751 -16.04829 -15.83259 -15.64009 -15.08043 -14.79057 -14.56292 -14.30938 -14.03180 -13.76344 -13.68139 -13.53882 -13.07734 -12.80142 -12.60091 -12.48621 -12.42084 -12.25880 -12.17378 -12.06758 -11.63507 -11.43690 -11.36610 -11.04988 -10.90605 -10.81888 -10.78281 -10.63226 -10.52577 -10.29013 -10.14363 -10.00873 -9.97888 -9.73397 -9.67301 -9.44678 -9.15325 -8.59234 -8.35312 -6.66027 -5.76421 -3.19071 2.77648 3.33037 3.38238 3.45288 3.46511 3.47183 3.80189 4.35185 4.46170 4.49998 4.61734 4.84848 4.89560 5.03187 5.04991 5.13529 5.14900 5.23867 5.33588 5.40713 5.41891 5.44086 5.46102 5.48327 5.52772 5.59472 5.66592 5.68371 5.84385 5.85708 5.88056 6.01862 6.07886 6.12041 6.29792 6.39342 6.51175 6.53811 6.63003 6.72054 6.79666 6.83542 6.95417 7.03543 7.10547 7.19480 7.42837 7.71843 7.81974 7.89263 8.47600 8.53287 9.23672 9.87257 10.44230 11.31809 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016059 B = 0.003282 C = 0.003040 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1743.139396 B = 8528.718620 C = 9209.730132 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.035 3.965 2 O -0.389 6.389 3 C 0.076 3.924 4 C -0.079 4.079 5 C 0.522 3.478 6 O -0.543 6.543 7 N -0.708 5.708 8 C 0.149 3.851 9 H 0.082 0.918 10 C -0.143 4.143 11 C 0.174 3.826 12 N -0.584 5.584 13 C -0.252 4.252 14 H 0.065 0.935 15 C 0.004 3.996 16 N -0.900 5.900 17 Si 0.901 3.099 18 H -0.289 1.289 19 H -0.279 1.279 20 H -0.292 1.292 21 C 0.170 3.830 22 H 0.064 0.936 23 C -0.162 4.162 24 C -0.131 4.131 25 C -0.137 4.137 26 C 0.058 3.942 27 O -0.385 6.385 28 C 0.051 3.949 29 C -0.126 4.126 30 H 0.089 0.911 31 H 0.043 0.957 32 H 0.040 0.960 33 H 0.056 0.944 34 H 0.060 0.940 35 H 0.402 0.598 36 H 0.049 0.951 37 H 0.053 0.947 38 H 0.087 0.913 39 H 0.020 0.980 40 H 0.253 0.747 41 H 0.054 0.946 42 H 0.036 0.964 43 H 0.049 0.951 44 H 0.054 0.946 45 H 0.062 0.938 46 H 0.085 0.915 47 H 0.080 0.920 48 H 0.096 0.904 49 H 0.052 0.948 50 H 0.092 0.908 51 H 0.081 0.919 52 H 0.075 0.925 53 H 0.083 0.917 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.291 9.108 -19.773 21.890 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 -0.062 4.062 2 O -0.308 6.308 3 C -0.001 4.001 4 C -0.083 4.083 5 C 0.306 3.694 6 O -0.422 6.422 7 N -0.359 5.359 8 C 0.046 3.954 9 H 0.100 0.900 10 C -0.184 4.184 11 C 0.048 3.952 12 N -0.306 5.306 13 C -0.382 4.382 14 H 0.083 0.917 15 C -0.195 4.195 16 N -0.544 5.544 17 Si 0.731 3.269 18 H -0.216 1.216 19 H -0.204 1.204 20 H -0.218 1.218 21 C 0.062 3.938 22 H 0.082 0.918 23 C -0.221 4.221 24 C -0.171 4.171 25 C -0.175 4.175 26 C -0.019 4.019 27 O -0.304 6.304 28 C -0.026 4.026 29 C -0.165 4.165 30 H 0.108 0.892 31 H 0.062 0.938 32 H 0.059 0.941 33 H 0.075 0.925 34 H 0.078 0.922 35 H 0.239 0.761 36 H 0.068 0.932 37 H 0.072 0.928 38 H 0.105 0.895 39 H 0.038 0.962 40 H 0.063 0.937 41 H 0.074 0.926 42 H 0.055 0.945 43 H 0.068 0.932 44 H 0.073 0.927 45 H 0.081 0.919 46 H 0.103 0.897 47 H 0.098 0.902 48 H 0.114 0.886 49 H 0.070 0.930 50 H 0.110 0.890 51 H 0.099 0.901 52 H 0.094 0.906 53 H 0.101 0.899 Dipole moment (debyes) X Y Z Total from point charges -1.558 9.404 -19.143 21.385 hybrid contribution -1.514 -0.454 0.543 1.671 sum -3.072 8.951 -18.600 20.869 Atomic orbital electron populations 1.22748 0.80227 1.03201 0.99984 1.87714 1.20316 1.27387 1.95406 1.22473 0.91226 0.85338 1.01090 1.20983 0.94770 0.97313 0.95216 1.20121 0.80537 0.82234 0.86458 1.90650 1.36630 1.67648 1.47227 1.46390 1.49486 1.14329 1.25738 1.21073 0.99265 0.91032 0.84069 0.89953 1.22453 0.98883 0.99595 0.97435 1.20639 0.99264 0.82279 0.93012 1.44133 1.55642 1.01914 1.28911 1.19182 1.29419 0.99791 0.89792 0.91685 1.25039 0.99460 0.98829 0.96166 1.70040 1.40287 1.33158 1.10915 0.86305 0.81568 0.79704 0.79343 1.21582 1.20424 1.21830 1.20433 0.89895 0.96469 0.86997 0.91751 1.22294 0.98169 1.01463 1.00185 1.22278 1.01332 0.94120 0.99371 1.22186 0.97196 1.01712 0.96403 1.22590 0.92383 0.84536 1.02400 1.87883 1.74656 1.25378 1.42479 1.22819 0.93409 0.97112 0.89211 1.21959 0.97321 0.93944 1.03236 0.89223 0.93827 0.94096 0.92540 0.92156 0.76091 0.93180 0.92831 0.89488 0.96213 0.93673 0.92640 0.94542 0.93235 0.92739 0.91937 0.89662 0.90185 0.88627 0.92991 0.88998 0.90125 0.90638 0.89887 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 0.03 0.28 11.01 101.05 1.11 1.39 16 2 O -0.39 -3.95 7.61 -35.23 -0.27 -4.22 16 3 C 0.08 0.73 4.81 37.16 0.18 0.91 16 4 C -0.08 -0.88 0.53 -155.48 -0.08 -0.96 16 5 C 0.52 7.70 5.11 -10.99 -0.06 7.64 16 6 O -0.54 -9.87 13.50 5.56 0.08 -9.80 16 7 N -0.71 -10.41 4.60 -53.77 -0.25 -10.66 16 8 C 0.15 2.63 2.21 -67.89 -0.15 2.48 16 9 H 0.08 1.63 5.94 -51.93 -0.31 1.32 16 10 C -0.14 -2.90 5.64 -26.83 -0.15 -3.05 16 11 C 0.17 4.23 4.87 -3.93 -0.02 4.21 16 12 N -0.58 -14.31 2.70 -165.04 -0.45 -14.76 16 13 C -0.25 -6.81 9.58 -15.06 -0.14 -6.96 16 14 H 0.07 1.73 7.88 -52.49 -0.41 1.31 16 15 C 0.00 0.11 4.91 -17.43 -0.09 0.02 16 16 N -0.90 -26.13 11.20 55.49 0.62 -25.50 16 17 Si 0.90 21.61 29.59 -169.99 -5.03 16.58 16 18 H -0.29 -6.93 7.11 56.52 0.40 -6.53 16 19 H -0.28 -6.53 7.11 56.52 0.40 -6.13 16 20 H -0.29 -7.10 7.11 56.52 0.40 -6.70 16 21 C 0.17 3.47 3.28 -67.61 -0.22 3.24 16 22 H 0.06 1.30 7.93 -51.93 -0.41 0.89 16 23 C -0.16 -3.14 9.04 37.15 0.34 -2.81 16 24 C -0.13 -2.23 5.03 -26.61 -0.13 -2.36 16 25 C -0.14 -1.32 4.67 -26.59 -0.12 -1.44 16 26 C 0.06 0.63 6.62 37.21 0.25 0.87 16 27 O -0.39 -4.77 10.76 -35.23 -0.38 -5.15 16 28 C 0.05 0.60 6.55 37.20 0.24 0.84 16 29 C -0.13 -1.33 4.56 -26.59 -0.12 -1.45 16 30 H 0.09 0.65 8.14 -51.93 -0.42 0.23 16 31 H 0.04 0.35 8.14 -51.93 -0.42 -0.07 16 32 H 0.04 0.26 8.14 -51.93 -0.42 -0.17 16 33 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 34 H 0.06 0.46 8.14 -51.93 -0.42 0.03 16 35 H 0.40 5.29 5.97 -40.82 -0.24 5.05 16 36 H 0.05 1.03 8.14 -51.93 -0.42 0.61 16 37 H 0.05 1.09 8.14 -51.93 -0.42 0.67 16 38 H 0.09 2.37 6.06 -51.93 -0.31 2.06 16 39 H 0.02 0.51 7.52 -51.93 -0.39 0.12 16 40 H 0.25 7.14 8.31 -40.82 -0.34 6.80 16 41 H 0.05 1.17 8.14 -51.93 -0.42 0.75 16 42 H 0.04 0.59 8.14 -51.93 -0.42 0.17 16 43 H 0.05 1.00 5.76 -51.93 -0.30 0.70 16 44 H 0.05 0.80 8.14 -51.93 -0.42 0.38 16 45 H 0.06 1.06 8.14 -51.93 -0.42 0.64 16 46 H 0.08 0.79 7.18 -51.93 -0.37 0.42 16 47 H 0.08 0.67 8.14 -51.93 -0.42 0.25 16 48 H 0.10 0.84 8.14 -51.93 -0.42 0.42 16 49 H 0.05 0.65 7.38 -51.93 -0.38 0.27 16 50 H 0.09 0.92 8.14 -51.93 -0.42 0.49 16 51 H 0.08 1.16 5.80 -51.93 -0.30 0.86 16 52 H 0.08 0.65 8.14 -51.93 -0.42 0.22 16 53 H 0.08 0.90 8.03 -51.93 -0.42 0.49 16 LS Contribution 395.60 15.07 5.96 5.96 Total: -1.00 -31.03 395.60 -8.22 -39.25 By element: Atomic # 1 Polarization: 15.05 SS G_CDS: -9.33 Total: 5.72 kcal Atomic # 6 Polarization: 1.76 SS G_CDS: 0.83 Total: 2.58 kcal Atomic # 7 Polarization: -50.85 SS G_CDS: -0.07 Total: -50.92 kcal Atomic # 8 Polarization: -18.60 SS G_CDS: -0.57 Total: -19.17 kcal Atomic # 14 Polarization: 21.61 SS G_CDS: -5.03 Total: 16.58 kcal Total LS contribution 5.96 Total: 5.96 kcal Total: -31.03 -8.22 -39.25 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. ZINC001484980168.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 -75.338 kcal (2) G-P(sol) polarization free energy of solvation -31.034 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -106.372 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.218 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.252 kcal (6) G-S(sol) free energy of system = (1) + (5) -114.590 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.21 seconds