Wall clock time and date at job start Sat Apr 11 2020 04:54:18 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 1.53002 * 1 3 3 C 1.52997 * 109.47132 * 2 1 4 4 N 1.46503 * 109.46921 * 120.00041 * 2 1 3 5 5 C 1.36944 * 119.99887 * 304.06819 * 4 2 1 6 6 H 1.08004 * 119.99791 * 319.69269 * 5 4 2 7 7 C 1.38807 * 120.00171 * 139.69743 * 5 4 2 8 8 N 1.31620 * 120.00000 * 341.30189 * 7 5 4 9 9 Si 1.86798 * 119.99838 * 161.29428 * 7 5 4 10 10 H 1.48499 * 109.47613 * 0.02562 * 9 7 5 11 11 H 1.48499 * 109.47056 * 120.00536 * 9 7 5 12 12 H 1.48500 * 109.47238 * 239.99940 * 9 7 5 13 13 C 1.46501 * 120.00298 * 124.06555 * 4 2 1 14 14 C 1.53000 * 109.46957 * 89.99803 * 13 4 2 15 15 C 1.52998 * 109.47078 * 179.97438 * 14 13 4 16 16 N 1.46507 * 109.47005 * 179.97438 * 15 14 13 17 17 C 1.34772 * 119.99446 * 180.02562 * 16 15 14 18 18 O 1.21601 * 120.00684 * 359.97438 * 17 16 15 19 19 C 1.47436 * 119.99451 * 180.02562 * 17 16 15 20 20 C 1.38045 * 126.41669 * 5.55824 * 19 17 16 21 21 N 1.34254 * 107.41670 * 180.10374 * 20 19 17 22 22 H 0.97000 * 125.75168 * 179.90073 * 21 20 19 23 23 N 1.39933 * 108.49222 * 359.64055 * 21 20 19 24 24 C 1.30444 * 108.89755 * 0.22331 * 23 21 20 25 25 C 1.50703 * 125.98799 * 179.97438 * 24 23 21 26 26 C 1.53002 * 109.47059 * 357.42386 * 25 24 23 27 27 C 1.53003 * 109.46879 * 117.42631 * 25 24 23 28 28 C 1.52998 * 109.47002 * 237.42615 * 25 24 23 29 29 H 1.09007 * 109.47044 * 305.44888 * 1 2 3 30 30 H 1.08999 * 109.46992 * 65.44928 * 1 2 3 31 31 H 1.08999 * 109.47705 * 185.44982 * 1 2 3 32 32 H 1.08995 * 109.47066 * 239.99287 * 2 1 3 33 33 H 1.09004 * 109.46747 * 183.40991 * 3 2 1 34 34 H 1.08994 * 109.47271 * 303.40672 * 3 2 1 35 35 H 1.08994 * 109.47211 * 63.41278 * 3 2 1 36 36 H 0.97003 * 119.99973 * 179.97438 * 8 7 5 37 37 H 1.09001 * 109.46867 * 330.00190 * 13 4 2 38 38 H 1.08994 * 109.47111 * 209.99948 * 13 4 2 39 39 H 1.09005 * 109.47315 * 60.00099 * 14 13 4 40 40 H 1.09000 * 109.47589 * 300.00321 * 14 13 4 41 41 H 1.09001 * 109.46757 * 60.00380 * 15 14 13 42 42 H 1.08992 * 109.47611 * 300.00145 * 15 14 13 43 43 H 0.96996 * 120.00110 * 0.02562 * 16 15 14 44 44 H 1.08003 * 126.28764 * 359.97438 * 20 19 17 45 45 H 1.09003 * 109.46582 * 60.00715 * 26 25 24 46 46 H 1.09000 * 109.46848 * 179.97438 * 26 25 24 47 47 H 1.08992 * 109.47476 * 300.00199 * 26 25 24 48 48 H 1.08997 * 109.46828 * 65.68250 * 27 25 24 49 49 H 1.09002 * 109.46840 * 185.68019 * 27 25 24 50 50 H 1.09000 * 109.47031 * 305.67745 * 27 25 24 51 51 H 1.08998 * 109.47447 * 67.65114 * 28 25 24 52 52 H 1.09006 * 109.47001 * 187.65273 * 28 25 24 53 53 H 1.09001 * 109.47626 * 307.64605 * 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 7 2.0183 -0.6906 1.1962 5 6 1.6201 -0.2733 2.4382 6 1 1.5415 0.7821 2.6538 7 6 1.3178 -1.2067 3.4202 8 7 1.0528 -2.4517 3.0854 9 14 1.2871 -0.6957 5.2167 10 1 1.6173 0.7479 5.3265 11 1 -0.0667 -0.9375 5.7770 12 1 2.2858 -1.4914 5.9747 13 6 2.9325 -1.8277 1.0637 14 6 4.3774 -1.3246 1.0766 15 6 5.3321 -2.5122 0.9389 16 7 6.7157 -2.0304 0.9507 17 6 7.7348 -2.9054 0.8408 18 8 7.5061 -4.0948 0.7324 19 6 9.1271 -2.4206 0.8532 20 6 9.5410 -1.1227 1.0766 21 7 10.8812 -1.1095 0.9999 22 1 11.4478 -0.3304 1.1137 23 7 11.3234 -2.4102 0.7338 24 6 10.2879 -3.1985 0.6446 25 6 10.3236 -4.6793 0.3670 26 6 11.7706 -5.1206 0.1383 27 6 9.7423 -5.4364 1.5628 28 6 9.4940 -4.9841 -0.8819 29 1 -0.3633 0.5961 0.8372 30 1 -0.3633 0.4270 -0.9348 31 1 -0.3634 -1.0230 0.0976 32 1 1.8933 -0.5139 -0.8899 33 1 3.1283 1.4430 -0.0611 34 1 1.6277 1.9736 -0.8578 35 1 1.7275 1.9383 0.9189 36 1 0.8419 -3.1041 3.7717 37 1 2.7360 -2.3443 0.1242 38 1 2.7798 -2.5155 1.8954 39 1 4.5739 -0.8080 2.0162 40 1 4.5301 -0.6368 0.2450 41 1 5.1358 -3.0291 -0.0004 42 1 5.1794 -3.1997 1.7708 43 1 6.8981 -1.0817 1.0375 44 1 8.9035 -0.2736 1.2745 45 1 12.3615 -4.9035 1.0282 46 1 11.7964 -6.1918 -0.0620 47 1 12.1847 -4.5812 -0.7134 48 1 8.6835 -5.1981 1.6639 49 1 9.8600 -6.5087 1.4059 50 1 10.2694 -5.1420 2.4703 51 1 9.9839 -4.5567 -1.7567 52 1 9.4067 -6.0636 -1.0055 53 1 8.5004 -4.5495 -0.7732 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001493875385.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 04:54:18 Heat of formation + Delta-G solvation = 38.426601 kcal Electronic energy + Delta-G solvation = -29896.830742 eV Core-core repulsion = 25998.283588 eV Total energy + Delta-G solvation = -3898.547154 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.227 amu Computer time = 0.85 seconds Orbital eigenvalues (eV) -41.72751 -39.06561 -36.96166 -36.62860 -34.83400 -32.50630 -31.77614 -31.15851 -30.41838 -28.63104 -27.12247 -27.07911 -26.18197 -25.37776 -23.62464 -22.90640 -22.31061 -20.86681 -20.02805 -19.51099 -18.57337 -18.30088 -16.41492 -16.29109 -15.59474 -15.35526 -15.09247 -15.05437 -14.81328 -14.24061 -14.20861 -14.14274 -13.78953 -13.63207 -13.25422 -12.90915 -12.78859 -12.42530 -12.11972 -12.10614 -11.76449 -11.52432 -11.47286 -11.45489 -11.30823 -11.23501 -11.14719 -10.97829 -10.90641 -10.77471 -10.60961 -10.53323 -10.37658 -10.17330 -9.95100 -9.70702 -9.57551 -9.54318 -9.42520 -9.01607 -8.66487 -8.47301 -6.50077 -5.76220 -3.38671 1.32479 2.05448 2.46788 3.33585 3.43176 3.44226 3.45506 3.49062 4.21717 4.41566 4.47293 4.79960 5.01887 5.05277 5.18993 5.26433 5.34194 5.37219 5.41264 5.66966 5.69578 5.75054 5.84577 5.90017 5.94652 5.95010 6.00333 6.06568 6.09979 6.13558 6.19733 6.32417 6.36579 6.38646 6.42577 6.44827 6.58438 6.63491 6.70598 6.73398 6.79051 6.81493 6.86178 6.91279 7.13342 7.21600 7.34158 7.36177 7.69166 7.74677 7.85580 8.48006 8.57143 9.22879 9.83729 10.44400 11.23133 Molecular weight = 336.23amu Principal moments of inertia in cm(-1) A = 0.014504 B = 0.002503 C = 0.002427 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1930.100434 B =11185.648667 C =11533.709222 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.145 4.145 2 C 0.162 3.838 3 C -0.154 4.154 4 N -0.579 5.579 5 C -0.253 4.253 6 H 0.058 0.942 7 C 0.015 3.985 8 N -0.886 5.886 9 Si 0.892 3.108 10 H -0.277 1.277 11 H -0.290 1.290 12 H -0.288 1.288 13 C 0.154 3.846 14 C -0.146 4.146 15 C 0.123 3.877 16 N -0.723 5.723 17 C 0.584 3.416 18 O -0.529 6.529 19 C -0.281 4.281 20 C 0.102 3.898 21 N -0.465 5.465 22 H 0.442 0.558 23 N -0.298 5.298 24 C 0.148 3.852 25 C 0.019 3.981 26 C -0.137 4.137 27 C -0.153 4.153 28 C -0.151 4.151 29 H 0.053 0.947 30 H 0.028 0.972 31 H 0.051 0.949 32 H 0.044 0.956 33 H 0.040 0.960 34 H 0.035 0.965 35 H 0.053 0.947 36 H 0.253 0.747 37 H 0.024 0.976 38 H 0.094 0.906 39 H 0.063 0.937 40 H 0.048 0.952 41 H 0.063 0.937 42 H 0.068 0.932 43 H 0.394 0.606 44 H 0.185 0.815 45 H 0.055 0.945 46 H 0.058 0.942 47 H 0.054 0.946 48 H 0.100 0.900 49 H 0.056 0.944 50 H 0.043 0.957 51 H 0.042 0.958 52 H 0.059 0.941 53 H 0.093 0.907 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 18.064 1.771 -6.348 19.229 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 -0.204 4.204 2 C 0.056 3.944 3 C -0.213 4.213 4 N -0.300 5.300 5 C -0.383 4.383 6 H 0.075 0.925 7 C -0.186 4.186 8 N -0.528 5.528 9 Si 0.721 3.279 10 H -0.202 1.202 11 H -0.217 1.217 12 H -0.215 1.215 13 C 0.026 3.974 14 C -0.186 4.186 15 C -0.001 4.001 16 N -0.373 5.373 17 C 0.372 3.628 18 O -0.408 6.408 19 C -0.297 4.297 20 C -0.051 4.051 21 N -0.169 5.169 22 H 0.287 0.713 23 N -0.119 5.119 24 C -0.020 4.020 25 C 0.017 3.983 26 C -0.194 4.194 27 C -0.211 4.211 28 C -0.208 4.208 29 H 0.072 0.928 30 H 0.047 0.953 31 H 0.071 0.929 32 H 0.062 0.938 33 H 0.059 0.941 34 H 0.054 0.946 35 H 0.072 0.928 36 H 0.064 0.936 37 H 0.043 0.957 38 H 0.111 0.889 39 H 0.082 0.918 40 H 0.067 0.933 41 H 0.081 0.919 42 H 0.086 0.914 43 H 0.227 0.773 44 H 0.202 0.798 45 H 0.074 0.926 46 H 0.077 0.923 47 H 0.074 0.926 48 H 0.119 0.881 49 H 0.075 0.925 50 H 0.062 0.938 51 H 0.061 0.939 52 H 0.078 0.922 53 H 0.112 0.888 Dipole moment (debyes) X Y Z Total from point charges 19.073 0.856 -6.388 20.133 hybrid contribution -0.411 1.388 1.261 1.919 sum 18.662 2.244 -5.127 19.483 Atomic orbital electron populations 1.22040 0.97823 1.01617 0.98872 1.20410 0.92488 0.91676 0.89874 1.22194 0.99811 0.99130 1.00195 1.43822 1.49672 1.35360 1.01104 1.18899 1.40500 0.91274 0.87623 0.92480 1.25248 0.98254 0.96342 0.98718 1.69976 1.47796 1.03025 1.31987 0.86415 0.77333 0.78187 0.85935 1.20214 1.21706 1.21496 1.20769 0.84722 0.91097 1.00777 1.22501 0.98480 0.96283 1.01348 1.21468 0.78608 0.98041 1.01935 1.46029 1.06817 1.09934 1.74488 1.17244 0.83331 0.85930 0.76289 1.90579 1.84683 1.15435 1.50142 1.20379 0.94998 0.92965 1.21310 1.23180 0.85941 0.98781 0.97219 1.46117 1.05481 1.09725 1.55581 0.71316 1.77162 1.22220 0.87550 1.25001 1.22459 0.88700 0.96395 0.94457 1.18986 0.96363 0.85357 0.97634 1.21835 0.94870 1.00820 1.01897 1.22162 1.04802 0.98908 0.95212 1.22132 1.02359 1.01890 0.94435 0.92805 0.95336 0.92946 0.93769 0.94065 0.94629 0.92757 0.93644 0.95726 0.88864 0.91784 0.93349 0.91913 0.91406 0.77292 0.79768 0.92556 0.92336 0.92642 0.88138 0.92482 0.93827 0.93871 0.92244 0.88824 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 -0.14 -2.88 9.00 37.16 0.33 -2.54 16 2 C 0.16 3.25 3.37 -67.93 -0.23 3.02 16 3 C -0.15 -2.71 9.27 37.16 0.34 -2.37 16 4 N -0.58 -13.29 2.35 -165.66 -0.39 -13.68 16 5 C -0.25 -6.43 8.17 -15.06 -0.12 -6.56 16 6 H 0.06 1.48 6.96 -52.48 -0.37 1.11 16 7 C 0.01 0.39 5.00 -17.43 -0.09 0.30 16 8 N -0.89 -24.47 11.50 55.49 0.64 -23.84 16 9 Si 0.89 20.85 29.59 -169.99 -5.03 15.82 16 10 H -0.28 -6.36 7.11 56.52 0.40 -5.96 16 11 H -0.29 -6.91 7.11 56.52 0.40 -6.51 16 12 H -0.29 -6.81 7.11 56.52 0.40 -6.41 16 13 C 0.15 3.30 5.27 -4.04 -0.02 3.28 16 14 C -0.15 -2.51 5.65 -26.73 -0.15 -2.66 16 15 C 0.12 1.91 5.67 -4.04 -0.02 1.89 16 16 N -0.72 -9.35 5.54 -61.38 -0.34 -9.69 16 17 C 0.58 8.18 7.35 -12.52 -0.09 8.09 16 18 O -0.53 -8.68 10.21 5.28 0.05 -8.62 16 19 C -0.28 -3.40 5.94 -105.06 -0.62 -4.02 16 20 C 0.10 0.86 11.52 -16.56 -0.19 0.67 16 21 N -0.46 -3.84 7.29 30.85 0.22 -3.62 16 22 H 0.44 2.01 8.96 -182.72 -1.64 0.37 16 23 N -0.30 -3.50 11.93 33.90 0.40 -3.10 16 24 C 0.15 1.88 5.64 -82.02 -0.46 1.41 16 25 C 0.02 0.23 0.75 -155.66 -0.12 0.11 16 26 C -0.14 -1.43 7.96 37.16 0.30 -1.13 16 27 C -0.15 -1.93 8.27 37.16 0.31 -1.62 16 28 C -0.15 -1.85 8.18 37.16 0.30 -1.55 16 29 H 0.05 1.13 7.77 -51.92 -0.40 0.73 16 30 H 0.03 0.47 8.14 -51.93 -0.42 0.05 16 31 H 0.05 1.14 8.14 -51.93 -0.42 0.72 16 32 H 0.04 0.84 7.77 -51.93 -0.40 0.44 16 33 H 0.04 0.69 8.14 -51.93 -0.42 0.27 16 34 H 0.03 0.54 8.14 -51.93 -0.42 0.12 16 35 H 0.05 1.03 7.04 -51.93 -0.37 0.66 16 36 H 0.25 6.83 8.31 -40.82 -0.34 6.49 16 37 H 0.02 0.51 7.89 -51.93 -0.41 0.10 16 38 H 0.09 2.32 5.62 -51.93 -0.29 2.03 16 39 H 0.06 1.18 8.14 -51.93 -0.42 0.76 16 40 H 0.05 0.78 8.14 -51.93 -0.42 0.36 16 41 H 0.06 1.00 8.14 -51.93 -0.42 0.58 16 42 H 0.07 1.18 8.14 -51.93 -0.42 0.76 16 43 H 0.39 4.02 7.42 -40.82 -0.30 3.72 16 44 H 0.19 0.84 7.49 -52.48 -0.39 0.45 16 45 H 0.06 0.59 8.14 -51.93 -0.42 0.17 16 46 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 47 H 0.05 0.58 8.14 -51.93 -0.42 0.15 16 48 H 0.10 1.49 4.76 -51.93 -0.25 1.25 16 49 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 50 H 0.04 0.53 8.14 -51.93 -0.42 0.11 16 51 H 0.04 0.49 8.13 -51.93 -0.42 0.07 16 52 H 0.06 0.67 8.13 -51.93 -0.42 0.25 16 53 H 0.09 1.35 4.50 -51.93 -0.23 1.11 16 LS Contribution 413.34 15.07 6.23 6.23 Total: -1.00 -30.63 413.34 -9.27 -39.90 By element: Atomic # 1 Polarization: 14.80 SS G_CDS: -10.53 Total: 4.27 kcal Atomic # 6 Polarization: -3.14 SS G_CDS: -0.53 Total: -3.67 kcal Atomic # 7 Polarization: -54.46 SS G_CDS: 0.54 Total: -53.92 kcal Atomic # 8 Polarization: -8.68 SS G_CDS: 0.05 Total: -8.62 kcal Atomic # 14 Polarization: 20.85 SS G_CDS: -5.03 Total: 15.82 kcal Total LS contribution 6.23 Total: 6.23 kcal Total: -30.63 -9.27 -39.90 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. ZINC001493875385.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 78.329 kcal (2) G-P(sol) polarization free energy of solvation -30.629 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 47.700 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.274 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.902 kcal (6) G-S(sol) free energy of system = (1) + (5) 38.427 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.85 seconds