Wall clock time and date at job start Sat Apr 11 2020 06:10:17 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 1.52996 * 1 3 3 H 1.08998 * 109.47902 * 2 1 4 4 C 1.53002 * 109.47269 * 120.00087 * 2 1 3 5 5 C 1.50700 * 109.47254 * 294.99613 * 4 2 1 6 6 O 1.21280 * 119.99360 * 359.97438 * 5 4 2 7 7 N 1.34768 * 120.00065 * 179.97438 * 5 4 2 8 8 C 1.46508 * 119.99979 * 180.02562 * 7 5 4 9 9 C 1.53000 * 109.47168 * 177.10312 * 8 7 5 10 10 N 1.46498 * 109.54195 * 54.89766 * 9 8 7 11 11 C 1.36936 * 119.99981 * 59.05519 * 10 9 8 12 12 H 1.08003 * 120.00034 * 5.85478 * 11 10 9 13 13 C 1.38813 * 119.99888 * 185.85518 * 11 10 9 14 14 N 1.31618 * 120.00222 * 359.97438 * 13 11 10 15 15 Si 1.86807 * 119.99855 * 179.97438 * 13 11 10 16 16 H 1.48494 * 109.47034 * 0.02562 * 15 13 11 17 17 H 1.48504 * 109.46934 * 120.00248 * 15 13 11 18 18 H 1.48496 * 109.47181 * 239.99823 * 15 13 11 19 19 C 1.53176 * 109.61417 * 175.10840 * 9 8 7 20 20 C 1.53098 * 109.16021 * 176.87885 * 19 9 8 21 21 O 1.42898 * 109.42462 * 302.40841 * 20 19 9 22 22 C 1.42900 * 114.09646 * 61.15419 * 21 20 19 23 23 C 1.53096 * 109.41485 * 298.83806 * 22 21 20 24 24 C 1.53003 * 109.46843 * 239.99875 * 2 1 3 25 25 H 1.09004 * 110.27542 * 300.63851 * 24 2 1 26 26 C 1.54945 * 110.30988 * 62.83623 * 24 2 1 27 27 C 1.55303 * 100.94203 * 155.36202 * 26 24 2 28 28 C 1.54382 * 102.25248 * 325.86320 * 27 26 24 29 29 O 1.43236 * 107.58695 * 21.36239 * 28 27 26 30 30 H 1.08994 * 109.47421 * 180.02562 * 1 2 3 31 31 H 1.09000 * 109.46853 * 300.00259 * 1 2 3 32 32 H 1.08996 * 109.47087 * 59.99483 * 1 2 3 33 33 H 1.09004 * 109.47112 * 174.99430 * 4 2 1 34 34 H 1.08998 * 109.46904 * 54.99830 * 4 2 1 35 35 H 0.96995 * 120.00396 * 0.02562 * 7 5 4 36 36 H 1.08995 * 109.46985 * 57.10039 * 8 7 5 37 37 H 1.09000 * 109.46826 * 297.10522 * 8 7 5 38 38 H 0.96994 * 120.00358 * 239.04965 * 10 9 8 39 39 H 0.97001 * 120.00065 * 179.97438 * 14 13 11 40 40 H 1.09002 * 109.51636 * 56.98036 * 19 9 8 41 41 H 1.08997 * 109.53601 * 296.78781 * 19 9 8 42 42 H 1.09002 * 109.48027 * 182.41993 * 20 19 9 43 43 H 1.08994 * 109.48115 * 62.39830 * 20 19 9 44 44 H 1.09000 * 109.48596 * 58.82561 * 22 21 20 45 45 H 1.09006 * 109.48383 * 178.84651 * 22 21 20 46 46 H 1.09007 * 109.52237 * 177.51432 * 23 22 21 47 47 H 1.09003 * 109.52477 * 297.70482 * 23 22 21 48 48 H 1.09000 * 111.12236 * 273.27840 * 26 24 2 49 49 H 1.09001 * 111.12289 * 37.44066 * 26 24 2 50 50 H 1.09005 * 110.84897 * 207.67910 * 27 26 24 51 51 H 1.08995 * 111.02596 * 84.13208 * 27 26 24 52 52 H 1.09001 * 109.83728 * 261.84699 * 28 27 26 53 53 H 1.09007 * 109.82931 * 140.87068 * 28 27 26 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 1 1.8934 1.0276 0.0000 4 6 2.0400 -0.7213 1.2492 5 6 1.6414 0.0570 2.4766 6 8 1.0119 1.0874 2.3632 7 7 1.9846 -0.3919 3.7001 8 6 1.5966 0.3644 4.8933 9 6 2.0431 -0.3935 6.1452 10 7 3.4804 -0.6658 6.0666 11 6 4.3685 0.3706 5.9549 12 1 4.0191 1.3905 6.0197 13 6 5.7177 0.1103 5.7584 14 7 6.1436 -1.1326 5.6799 15 14 6.9291 1.5241 5.6053 16 1 6.2029 2.8136 5.7280 17 1 7.9453 1.4242 6.6836 18 1 7.6022 1.4583 4.2833 19 6 1.7488 0.4501 7.3894 20 6 2.1272 -0.3490 8.6393 21 8 1.4014 -1.5798 8.6542 22 6 1.6728 -2.4307 7.5387 23 6 1.2758 -1.7155 6.2446 24 6 2.0399 -0.7213 -1.2493 25 1 1.6745 -1.7481 -1.2682 26 6 1.5937 0.0342 -2.5263 27 6 2.6823 -0.4233 -3.5350 28 6 3.9299 -0.5516 -2.6348 29 8 3.4758 -0.7024 -1.2848 30 1 -0.3634 -1.0276 0.0005 31 1 -0.3633 0.5139 0.8900 32 1 -0.3633 0.5139 -0.8899 33 1 3.1263 -0.7996 1.2055 34 1 1.6054 -1.7198 1.2951 35 1 2.4884 -1.2158 3.7907 36 1 0.5137 0.4870 4.9096 37 1 2.0729 1.3447 4.8729 38 1 3.8031 -1.5801 6.0938 39 1 7.0864 -1.3145 5.5421 40 1 0.6870 0.6944 7.4209 41 1 2.3340 1.3689 7.3535 42 1 1.8799 0.2296 9.5293 43 1 3.1968 -0.5579 8.6271 44 1 2.7365 -2.6670 7.5119 45 1 1.0983 -3.3520 7.6359 46 1 1.5229 -2.3452 5.3898 47 1 0.2044 -1.5151 6.2530 48 1 0.6022 -0.2864 -2.8461 49 1 1.6261 1.1133 -2.3758 50 1 2.8370 0.3304 -4.3072 51 1 2.4242 -1.3844 -3.9797 52 1 4.5421 0.3461 -2.7210 53 1 4.5102 -1.4261 -2.9296 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 ZINC001484190884.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 06:10:17 Heat of formation + Delta-G solvation = -134.772879 kcal Electronic energy + Delta-G solvation = -31590.825844 eV Core-core repulsion = 27462.019395 eV Total energy + Delta-G solvation = -4128.806449 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.06 seconds Orbital eigenvalues (eV) -39.99724 -39.48029 -38.67540 -35.90087 -34.64390 -33.34242 -32.26883 -32.13516 -30.64844 -29.17479 -28.95330 -27.74341 -26.17928 -24.07450 -23.43186 -22.97634 -22.05669 -21.66395 -20.32042 -19.58676 -18.58317 -17.27354 -16.96936 -16.69743 -15.88092 -15.60279 -15.54402 -15.38683 -15.28190 -14.80328 -14.50607 -14.29930 -14.02010 -13.77249 -13.58835 -13.48148 -13.23720 -12.76922 -12.67786 -12.47600 -12.29442 -12.06724 -11.97535 -11.82996 -11.61112 -11.48073 -11.41697 -11.22428 -10.91781 -10.89457 -10.85899 -10.79547 -10.72150 -10.67518 -10.30380 -10.02092 -9.80419 -9.70286 -9.54933 -9.23536 -9.10696 -8.82124 -8.34023 -7.08864 -5.85894 -3.16129 3.18330 3.39390 3.47393 3.47758 3.68970 3.78655 4.31482 4.36876 4.52349 4.58022 4.70570 4.92963 4.99539 5.03844 5.19128 5.25067 5.27813 5.31741 5.36809 5.46149 5.54460 5.55332 5.56176 5.56762 5.63390 5.65759 5.65885 5.72979 5.76958 5.77241 5.89035 5.97975 6.00842 6.09572 6.12796 6.16842 6.26477 6.32473 6.39366 6.40772 6.44660 6.57327 6.58685 6.74210 6.79880 6.99107 7.13735 7.66397 7.70408 8.16067 8.31407 8.81165 9.44414 9.94510 10.31141 11.35927 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010764 B = 0.003302 C = 0.002756 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2600.603375 B = 8476.477549 C =10156.278015 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C -0.069 4.069 3 H 0.083 0.917 4 C -0.135 4.135 5 C 0.511 3.489 6 O -0.559 6.559 7 N -0.701 5.701 8 C 0.121 3.879 9 C 0.189 3.811 10 N -0.713 5.713 11 C -0.235 4.235 12 H 0.070 0.930 13 C -0.005 4.005 14 N -0.929 5.929 15 Si 0.901 3.099 16 H -0.281 1.281 17 H -0.292 1.292 18 H -0.292 1.292 19 C -0.155 4.155 20 C 0.070 3.930 21 O -0.393 6.393 22 C 0.066 3.934 23 C -0.151 4.151 24 C 0.084 3.916 25 H 0.070 0.930 26 C -0.149 4.149 27 C -0.157 4.157 28 C 0.050 3.950 29 O -0.375 6.375 30 H 0.047 0.953 31 H 0.082 0.918 32 H 0.051 0.949 33 H 0.101 0.899 34 H 0.086 0.914 35 H 0.403 0.597 36 H 0.051 0.949 37 H 0.064 0.936 38 H 0.384 0.616 39 H 0.255 0.745 40 H 0.055 0.945 41 H 0.076 0.924 42 H 0.078 0.922 43 H 0.067 0.933 44 H 0.058 0.942 45 H 0.081 0.919 46 H 0.069 0.931 47 H 0.068 0.932 48 H 0.082 0.918 49 H 0.080 0.920 50 H 0.079 0.921 51 H 0.074 0.926 52 H 0.067 0.933 53 H 0.066 0.934 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.678 -2.741 -11.781 16.135 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 -0.207 4.207 2 C -0.088 4.088 3 H 0.102 0.898 4 C -0.175 4.175 5 C 0.297 3.703 6 O -0.439 6.439 7 N -0.351 5.351 8 C -0.006 4.006 9 C 0.097 3.903 10 N -0.355 5.355 11 C -0.366 4.366 12 H 0.088 0.912 13 C -0.201 4.201 14 N -0.577 5.577 15 Si 0.732 3.268 16 H -0.206 1.206 17 H -0.220 1.220 18 H -0.219 1.219 19 C -0.195 4.195 20 C -0.006 4.006 21 O -0.312 6.312 22 C -0.011 4.011 23 C -0.189 4.189 24 C 0.027 3.973 25 H 0.088 0.912 26 C -0.187 4.187 27 C -0.195 4.195 28 C -0.027 4.027 29 O -0.295 6.295 30 H 0.066 0.934 31 H 0.101 0.899 32 H 0.070 0.930 33 H 0.119 0.881 34 H 0.104 0.896 35 H 0.239 0.761 36 H 0.070 0.930 37 H 0.082 0.918 38 H 0.219 0.781 39 H 0.065 0.935 40 H 0.074 0.926 41 H 0.094 0.906 42 H 0.096 0.904 43 H 0.085 0.915 44 H 0.077 0.923 45 H 0.100 0.900 46 H 0.088 0.912 47 H 0.087 0.913 48 H 0.100 0.900 49 H 0.099 0.901 50 H 0.098 0.902 51 H 0.093 0.907 52 H 0.086 0.914 53 H 0.084 0.916 Dipole moment (debyes) X Y Z Total from point charges -11.004 -1.932 -11.541 16.063 hybrid contribution 1.390 0.227 -0.601 1.531 sum -9.614 -1.704 -12.141 15.581 Atomic orbital electron populations 1.21927 0.94030 1.01432 1.03337 1.20979 0.96104 1.00171 0.91592 0.89817 1.21647 1.03901 0.99482 0.92432 1.20536 0.79232 0.85679 0.84817 1.90596 1.41465 1.24973 1.86861 1.45778 1.56185 1.27796 1.05299 1.21718 0.97614 0.96079 0.85148 1.19832 0.86361 0.92327 0.91757 1.42490 0.98289 1.06991 1.87747 1.19097 0.87916 0.87952 1.41634 0.91195 1.24676 0.97105 0.96034 1.02315 1.69646 1.14617 1.16992 1.56447 0.86219 0.81572 0.81747 0.77262 1.20597 1.21952 1.21880 1.22489 1.00243 1.00317 0.96459 1.22446 0.96942 0.84346 0.96906 1.87797 1.67920 1.30594 1.44918 1.22467 1.00731 0.92398 0.85523 1.22350 1.00259 0.97685 0.98579 1.23087 0.80951 0.98481 0.94809 0.91238 1.23296 0.99214 1.01557 0.94623 1.23127 0.95412 1.02271 0.98675 1.23095 0.96242 1.01249 0.82083 1.88473 1.20447 1.94679 1.25897 0.93360 0.89899 0.93009 0.88097 0.89606 0.76125 0.93050 0.91810 0.78074 0.93535 0.92607 0.90566 0.90366 0.91471 0.92331 0.90039 0.91195 0.91285 0.89951 0.90119 0.90224 0.90686 0.91449 0.91594 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.15 -1.76 8.74 37.16 0.32 -1.44 16 2 C -0.07 -0.90 1.80 -90.62 -0.16 -1.07 16 3 H 0.08 1.27 7.95 -51.93 -0.41 0.86 16 4 C -0.13 -1.92 5.11 -27.88 -0.14 -2.06 16 5 C 0.51 8.89 7.55 -10.99 -0.08 8.81 16 6 O -0.56 -11.12 13.97 5.56 0.08 -11.04 16 7 N -0.70 -12.27 5.13 -60.29 -0.31 -12.58 16 8 C 0.12 2.20 4.32 -4.04 -0.02 2.18 16 9 C 0.19 3.36 0.41 -131.64 -0.05 3.30 16 10 N -0.71 -15.32 3.66 -47.06 -0.17 -15.49 16 11 C -0.24 -5.87 8.70 -15.06 -0.13 -6.00 16 12 H 0.07 1.78 6.76 -52.48 -0.35 1.42 16 13 C 0.00 -0.13 5.50 -17.43 -0.10 -0.23 16 14 N -0.93 -26.03 13.07 55.49 0.73 -25.31 16 15 Si 0.90 21.89 29.55 -169.99 -5.02 16.86 16 16 H -0.28 -6.73 7.11 56.52 0.40 -6.33 16 17 H -0.29 -7.18 7.11 56.52 0.40 -6.77 16 18 H -0.29 -7.27 7.11 56.52 0.40 -6.87 16 19 C -0.15 -2.66 4.83 -26.59 -0.13 -2.79 16 20 C 0.07 1.20 6.68 37.21 0.25 1.45 16 21 O -0.39 -6.75 10.77 -35.23 -0.38 -7.13 16 22 C 0.07 1.02 6.67 37.21 0.25 1.27 16 23 C -0.15 -2.30 4.80 -26.59 -0.13 -2.43 16 24 C 0.08 0.95 2.96 -25.70 -0.08 0.87 16 25 H 0.07 0.72 8.14 -51.93 -0.42 0.30 16 26 C -0.15 -1.34 5.55 -24.48 -0.14 -1.47 16 27 C -0.16 -1.25 7.02 -24.79 -0.17 -1.42 16 28 C 0.05 0.51 7.79 37.88 0.30 0.80 16 29 O -0.38 -5.07 10.39 -35.23 -0.37 -5.43 16 30 H 0.05 0.49 8.14 -51.93 -0.42 0.07 16 31 H 0.08 1.19 5.95 -51.93 -0.31 0.88 16 32 H 0.05 0.52 7.28 -51.93 -0.38 0.14 16 33 H 0.10 1.57 7.62 -51.93 -0.40 1.18 16 34 H 0.09 1.04 8.14 -51.93 -0.42 0.61 16 35 H 0.40 6.97 7.41 -40.82 -0.30 6.67 16 36 H 0.05 0.90 8.14 -51.93 -0.42 0.47 16 37 H 0.06 1.34 7.53 -51.93 -0.39 0.94 16 38 H 0.38 8.87 6.71 -40.82 -0.27 8.59 16 39 H 0.25 7.06 8.31 -40.82 -0.34 6.72 16 40 H 0.06 0.88 8.14 -51.93 -0.42 0.45 16 41 H 0.08 1.40 7.14 -51.93 -0.37 1.03 16 42 H 0.08 1.18 8.14 -51.93 -0.42 0.76 16 43 H 0.07 1.32 7.75 -51.93 -0.40 0.91 16 44 H 0.06 1.01 7.08 -51.93 -0.37 0.64 16 45 H 0.08 1.07 8.14 -51.93 -0.42 0.65 16 46 H 0.07 1.01 7.36 -51.93 -0.38 0.63 16 47 H 0.07 0.99 8.14 -51.93 -0.42 0.57 16 48 H 0.08 0.61 8.05 -51.93 -0.42 0.19 16 49 H 0.08 0.76 8.06 -51.93 -0.42 0.34 16 50 H 0.08 0.53 8.14 -51.93 -0.42 0.10 16 51 H 0.07 0.52 8.14 -51.93 -0.42 0.09 16 52 H 0.07 0.66 8.14 -51.93 -0.42 0.24 16 53 H 0.07 0.60 8.14 -51.92 -0.42 0.18 16 LS Contribution 404.96 15.07 6.10 6.10 Total: -1.00 -29.60 404.96 -8.94 -38.54 By element: Atomic # 1 Polarization: 25.07 SS G_CDS: -9.39 Total: 15.69 kcal Atomic # 6 Polarization: 0.01 SS G_CDS: -0.21 Total: -0.20 kcal Atomic # 7 Polarization: -53.63 SS G_CDS: 0.24 Total: -53.38 kcal Atomic # 8 Polarization: -22.94 SS G_CDS: -0.67 Total: -23.61 kcal Atomic # 14 Polarization: 21.89 SS G_CDS: -5.02 Total: 16.86 kcal Total LS contribution 6.10 Total: 6.10 kcal Total: -29.60 -8.94 -38.54 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. ZINC001484190884.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 -96.230 kcal (2) G-P(sol) polarization free energy of solvation -29.599 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -125.829 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.944 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.543 kcal (6) G-S(sol) free energy of system = (1) + (5) -134.773 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.06 seconds