Wall clock time and date at job start Tue Mar 31 2020 12:39:07 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 1.53005 * 109.46904 * 2 1 4 4 O 1.42895 * 109.47537 * 120.00105 * 2 1 3 5 5 C 1.42895 * 114.00318 * 89.99526 * 4 2 1 6 6 C 1.50698 * 109.47522 * 180.02562 * 5 4 2 7 7 C 1.38260 * 119.99559 * 359.97438 * 6 5 4 8 8 C 1.38212 * 119.99650 * 179.71963 * 7 6 5 9 9 C 1.38255 * 120.00300 * 0.28729 * 8 7 6 10 10 C 1.38216 * 119.99744 * 359.97134 * 9 8 7 11 11 C 1.38208 * 120.00333 * 180.19775 * 6 5 4 12 12 C 1.50698 * 120.00186 * 0.03695 * 11 6 5 13 13 N 1.46897 * 109.46930 * 80.17218 * 12 11 6 14 14 C 1.46908 * 111.00271 * 180.02562 * 13 12 11 15 15 C 1.52995 * 109.47551 * 180.02562 * 14 13 12 16 16 C 1.53000 * 109.47183 * 300.00165 * 15 14 13 17 17 C 1.53010 * 109.46995 * 59.99720 * 15 14 13 18 18 C 1.52995 * 109.47405 * 179.97438 * 15 14 13 19 19 C 1.50695 * 109.47085 * 179.97438 * 18 15 14 20 20 H 1.07997 * 120.00597 * 0.02562 * 19 18 15 21 21 C 1.37882 * 119.99794 * 179.97438 * 19 18 15 22 22 N 1.31516 * 120.00239 * 180.02562 * 21 19 18 23 23 Si 1.86797 * 119.99963 * 0.02562 * 21 19 18 24 24 H 1.48499 * 109.47703 * 89.99865 * 23 21 19 25 25 H 1.48505 * 109.46952 * 209.99521 * 23 21 19 26 26 H 1.48507 * 109.47236 * 329.99435 * 23 21 19 27 27 H 1.09000 * 109.46649 * 179.97438 * 1 2 3 28 28 H 1.08996 * 109.46980 * 300.00310 * 1 2 3 29 29 H 1.09009 * 109.46943 * 60.00202 * 1 2 3 30 30 H 1.09003 * 109.47107 * 240.00551 * 2 1 3 31 31 H 1.09000 * 109.46852 * 180.02562 * 3 2 1 32 32 H 1.09000 * 109.47420 * 299.99826 * 3 2 1 33 33 H 1.08991 * 109.47162 * 60.00304 * 3 2 1 34 34 H 1.09004 * 109.46897 * 60.00586 * 5 4 2 35 35 H 1.08997 * 109.47431 * 300.00843 * 5 4 2 36 36 H 1.08002 * 120.00476 * 0.02562 * 7 6 5 37 37 H 1.07999 * 119.99941 * 180.25946 * 8 7 6 38 38 H 1.08005 * 120.00230 * 179.97438 * 9 8 7 39 39 H 1.08002 * 119.99715 * 179.97438 * 10 9 8 40 40 H 1.09001 * 109.47640 * 200.17138 * 12 11 6 41 41 H 1.09000 * 109.47091 * 320.17597 * 12 11 6 42 42 H 1.00897 * 111.00432 * 303.95277 * 13 12 11 43 43 H 1.08997 * 109.46519 * 300.00264 * 14 13 12 44 44 H 1.09003 * 109.47086 * 59.99731 * 14 13 12 45 45 H 1.09002 * 109.47482 * 59.99432 * 16 15 14 46 46 H 1.09002 * 109.47322 * 180.02562 * 16 15 14 47 47 H 1.09007 * 109.47095 * 300.00068 * 16 15 14 48 48 H 1.08996 * 109.46799 * 60.00233 * 17 15 14 49 49 H 1.09002 * 109.46854 * 180.02562 * 17 15 14 50 50 H 1.09002 * 109.46905 * 300.00100 * 17 15 14 51 51 H 1.08996 * 109.47275 * 300.00310 * 18 15 14 52 52 H 1.09003 * 109.46987 * 59.99758 * 18 15 14 53 53 H 0.96991 * 120.00412 * 179.97438 * 22 21 19 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 1.4426 0.0000 4 8 2.0064 -0.6736 1.1667 5 6 2.2001 -2.0781 0.9886 6 6 2.7004 -2.6834 2.2748 7 6 2.8988 -1.8826 3.3843 8 6 3.3520 -2.4387 4.5657 9 6 3.6128 -3.7946 4.6363 10 6 3.4196 -4.5941 3.5255 11 6 2.9653 -4.0381 2.3441 12 6 2.7547 -4.9099 1.1330 13 7 3.9017 -4.7729 0.2256 14 6 3.7307 -5.6101 -0.9694 15 6 4.9425 -5.4416 -1.8880 16 6 5.0655 -3.9750 -2.3061 17 6 6.2097 -5.8676 -1.1438 18 6 4.7646 -6.3140 -3.1322 19 6 5.9580 -6.1474 -4.0372 20 1 6.7630 -5.4859 -3.7532 21 6 6.0226 -6.8405 -5.2274 22 7 7.0643 -6.6956 -6.0171 23 14 4.6306 -7.9853 -5.7183 24 1 3.6199 -7.2289 -6.5004 25 1 5.1698 -9.0933 -6.5471 26 1 3.9953 -8.5440 -4.4978 27 1 -0.3632 -1.0277 -0.0005 28 1 -0.3633 0.5139 0.8899 29 1 -0.3633 0.5138 -0.8901 30 1 1.8933 -0.5138 -0.8901 31 1 3.1300 1.4426 -0.0005 32 1 1.6767 1.9564 -0.8900 33 1 1.6767 1.9563 0.8899 34 1 2.9320 -2.2467 0.1986 35 1 1.2539 -2.5433 0.7124 36 1 2.6948 -0.8235 3.3294 37 1 3.5030 -1.8139 5.4336 38 1 3.9674 -4.2290 5.5593 39 1 3.6236 -5.6533 3.5805 40 1 2.6610 -5.9499 1.4458 41 1 1.8449 -4.6022 0.6176 42 1 4.0490 -3.8074 -0.0278 43 1 3.6435 -6.6549 -0.6714 44 1 2.8277 -5.3068 -1.4992 45 1 5.1924 -3.3537 -1.4195 46 1 5.9286 -3.8549 -2.9609 47 1 4.1627 -3.6713 -2.8362 48 1 6.1221 -6.9124 -0.8459 49 1 7.0731 -5.7471 -1.7981 50 1 6.3366 -5.2464 -0.2572 51 1 4.6773 -7.3587 -2.8339 52 1 3.8618 -6.0108 -3.6624 53 1 7.1099 -7.1834 -6.8541 RHF calculation, no. of doubly occupied orbitals= 62 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 ZINC000610270667.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 12:39:07 Heat of formation + Delta-G solvation = -45.963023 kcal Electronic energy + Delta-G solvation = -27470.414814 eV Core-core repulsion = 23920.023604 eV Total energy + Delta-G solvation = -3550.391210 eV No. of doubly occupied orbitals = 62 Molecular weight (most abundant/longest-lived isotopes) = 319.225 amu Computer time = 0.74 seconds Orbital eigenvalues (eV) -39.96961 -38.31705 -37.67927 -34.78254 -33.46680 -32.35139 -31.22261 -30.91329 -27.77761 -27.55956 -26.57763 -26.40070 -25.87102 -24.10689 -22.22410 -21.81848 -21.40955 -20.71531 -17.94575 -17.19924 -16.83634 -16.65890 -15.92672 -15.64344 -15.20603 -14.91761 -14.80679 -14.49241 -14.09876 -13.90336 -13.75861 -13.35732 -13.22666 -13.00329 -12.88029 -12.68810 -12.51953 -12.36258 -12.29002 -12.10150 -12.03947 -11.92275 -11.70558 -11.15290 -11.12021 -11.02484 -10.93179 -10.85462 -10.78569 -10.50203 -10.34671 -9.97711 -9.82060 -9.68710 -9.33891 -8.92292 -8.86328 -8.69798 -8.50088 -8.17570 -6.00244 -3.96448 1.21016 1.35075 3.31104 3.33209 3.39245 3.42562 3.62550 4.46559 4.47760 4.54727 4.70151 4.75235 4.76803 4.87496 4.93276 4.97462 5.09133 5.17349 5.23753 5.31199 5.32650 5.36391 5.46989 5.49783 5.50391 5.56879 5.61739 5.62586 5.72117 5.85543 5.87380 5.91715 5.93169 6.00690 6.10715 6.23077 6.36053 6.39340 6.44925 6.53686 6.58881 6.66802 6.79934 6.90791 7.01978 7.06805 7.12223 7.17430 7.26386 7.32404 7.45030 7.57597 7.84999 8.59613 9.05808 9.62772 11.12894 Molecular weight = 319.23amu Principal moments of inertia in cm(-1) A = 0.012207 B = 0.003113 C = 0.002689 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2293.147257 B = 8991.171737 C =10411.052190 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.175 4.175 2 C 0.079 3.921 3 C -0.149 4.149 4 O -0.378 6.378 5 C 0.103 3.897 6 C -0.085 4.085 7 C -0.097 4.097 8 C -0.126 4.126 9 C -0.122 4.122 10 C -0.100 4.100 11 C -0.070 4.070 12 C 0.092 3.908 13 N -0.678 5.678 14 C 0.066 3.934 15 C -0.049 4.049 16 C -0.131 4.131 17 C -0.117 4.117 18 C -0.004 4.004 19 C -0.507 4.507 20 H 0.078 0.922 21 C 0.065 3.935 22 N -0.905 5.905 23 Si 0.875 3.125 24 H -0.279 1.279 25 H -0.289 1.289 26 H -0.267 1.267 27 H 0.055 0.945 28 H 0.063 0.937 29 H 0.065 0.935 30 H 0.063 0.937 31 H 0.063 0.937 32 H 0.069 0.931 33 H 0.062 0.938 34 H 0.062 0.938 35 H 0.060 0.940 36 H 0.130 0.870 37 H 0.119 0.881 38 H 0.120 0.880 39 H 0.124 0.876 40 H 0.080 0.920 41 H 0.034 0.966 42 H 0.338 0.662 43 H 0.068 0.932 44 H 0.023 0.977 45 H 0.034 0.966 46 H 0.071 0.929 47 H 0.039 0.961 48 H 0.039 0.961 49 H 0.060 0.940 50 H 0.045 0.955 51 H 0.015 0.985 52 H 0.007 0.993 53 H 0.261 0.739 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.822 11.743 18.767 25.584 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 -0.232 4.232 2 C 0.022 3.978 3 C -0.206 4.206 4 O -0.297 6.297 5 C 0.027 3.973 6 C -0.085 4.085 7 C -0.114 4.114 8 C -0.144 4.144 9 C -0.140 4.140 10 C -0.119 4.119 11 C -0.071 4.071 12 C -0.037 4.037 13 N -0.311 5.311 14 C -0.062 4.062 15 C -0.049 4.049 16 C -0.188 4.188 17 C -0.175 4.175 18 C -0.041 4.041 19 C -0.545 4.545 20 H 0.096 0.904 21 C -0.136 4.136 22 N -0.545 5.545 23 Si 0.703 3.297 24 H -0.205 1.205 25 H -0.215 1.215 26 H -0.191 1.191 27 H 0.074 0.926 28 H 0.082 0.918 29 H 0.084 0.916 30 H 0.081 0.919 31 H 0.082 0.918 32 H 0.088 0.912 33 H 0.081 0.919 34 H 0.080 0.920 35 H 0.078 0.922 36 H 0.148 0.852 37 H 0.137 0.863 38 H 0.138 0.862 39 H 0.142 0.858 40 H 0.099 0.901 41 H 0.052 0.948 42 H 0.158 0.842 43 H 0.086 0.914 44 H 0.041 0.959 45 H 0.053 0.947 46 H 0.090 0.910 47 H 0.058 0.942 48 H 0.058 0.942 49 H 0.079 0.921 50 H 0.064 0.936 51 H 0.033 0.967 52 H 0.026 0.974 53 H 0.071 0.929 Dipole moment (debyes) X Y Z Total from point charges -12.337 11.303 19.083 25.379 hybrid contribution -1.481 -0.368 -1.177 1.927 sum -13.818 10.935 17.905 25.122 Atomic orbital electron populations 1.22301 0.96026 1.02346 1.02568 1.22105 0.93579 0.93941 0.88201 1.21855 1.02034 0.94310 1.02435 1.87869 1.86661 1.19504 1.35679 1.21260 0.99288 0.81672 0.95075 1.19503 1.00960 0.93037 0.95023 1.20938 0.98280 1.00243 0.91989 1.21141 1.00188 0.95203 0.97863 1.21149 1.00313 0.94016 0.98477 1.20968 0.98691 1.00038 0.92203 1.19546 0.99312 0.92716 0.95484 1.20915 0.92402 0.99160 0.91222 1.60637 1.39463 1.13772 1.17229 1.22185 0.97531 0.97211 0.89315 1.20421 0.93564 0.96052 0.94860 1.21793 1.02279 0.95296 0.99476 1.21610 0.97546 0.99593 0.98727 1.19623 0.97255 0.94588 0.92683 1.21136 1.04349 1.26412 1.02587 0.90415 1.25018 0.95497 0.96584 0.96490 1.69906 1.29420 1.43061 1.12121 0.86853 0.82973 0.81122 0.78731 1.20545 1.21544 1.19129 0.92559 0.91815 0.91571 0.91919 0.91790 0.91197 0.91884 0.92024 0.92210 0.85225 0.86274 0.86204 0.85800 0.90115 0.94785 0.84151 0.91356 0.95906 0.94709 0.91035 0.94226 0.94181 0.92129 0.93632 0.96676 0.97449 0.92888 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.17 -1.38 9.53 37.16 0.35 -1.03 16 2 C 0.08 0.72 3.34 -26.73 -0.09 0.63 16 3 C -0.15 -1.16 9.56 37.16 0.36 -0.80 16 4 O -0.38 -4.11 8.47 -35.23 -0.30 -4.41 16 5 C 0.10 1.13 4.92 36.00 0.18 1.30 16 6 C -0.08 -0.99 5.88 -104.63 -0.61 -1.60 16 7 C -0.10 -1.08 9.38 -39.58 -0.37 -1.45 16 8 C -0.13 -1.27 10.05 -39.58 -0.40 -1.66 16 9 C -0.12 -1.22 10.05 -39.58 -0.40 -1.62 16 10 C -0.10 -1.11 9.67 -39.58 -0.38 -1.49 16 11 C -0.07 -0.83 5.39 -104.63 -0.56 -1.39 16 12 C 0.09 1.10 5.27 -4.98 -0.03 1.07 16 13 N -0.68 -9.48 5.70 -115.06 -0.66 -10.14 16 14 C 0.07 1.06 4.65 -3.82 -0.02 1.04 16 15 C -0.05 -0.93 0.60 -154.51 -0.09 -1.02 16 16 C -0.13 -2.39 7.89 37.16 0.29 -2.10 16 17 C -0.12 -2.26 8.06 37.16 0.30 -1.96 16 18 C 0.00 -0.09 3.11 -27.89 -0.09 -0.17 16 19 C -0.51 -13.92 8.20 -34.44 -0.28 -14.20 16 20 H 0.08 2.28 5.92 -52.49 -0.31 1.97 16 21 C 0.06 1.86 5.47 -17.82 -0.10 1.76 16 22 N -0.91 -27.70 13.96 55.43 0.77 -26.93 16 23 Si 0.88 21.67 27.47 -169.99 -4.67 17.00 16 24 H -0.28 -6.82 7.11 56.52 0.40 -6.41 16 25 H -0.29 -7.15 7.11 56.52 0.40 -6.75 16 26 H -0.27 -6.36 6.54 56.52 0.37 -5.99 16 27 H 0.06 0.46 7.87 -51.93 -0.41 0.05 16 28 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 29 H 0.07 0.44 8.14 -51.92 -0.42 0.02 16 30 H 0.06 0.57 7.79 -51.93 -0.40 0.16 16 31 H 0.06 0.53 8.14 -51.93 -0.42 0.10 16 32 H 0.07 0.45 8.14 -51.93 -0.42 0.02 16 33 H 0.06 0.48 8.14 -51.93 -0.42 0.05 16 34 H 0.06 0.69 6.39 -51.93 -0.33 0.36 16 35 H 0.06 0.62 7.29 -51.93 -0.38 0.24 16 36 H 0.13 1.39 7.01 -52.49 -0.37 1.03 16 37 H 0.12 0.94 8.06 -52.49 -0.42 0.51 16 38 H 0.12 0.94 8.06 -52.48 -0.42 0.52 16 39 H 0.12 1.22 8.04 -52.49 -0.42 0.80 16 40 H 0.08 0.93 8.00 -51.93 -0.42 0.51 16 41 H 0.03 0.39 7.06 -51.93 -0.37 0.02 16 42 H 0.34 4.70 4.98 -39.29 -0.20 4.50 16 43 H 0.07 1.10 8.14 -51.93 -0.42 0.68 16 44 H 0.02 0.36 8.14 -51.93 -0.42 -0.07 16 45 H 0.03 0.55 6.57 -51.93 -0.34 0.21 16 46 H 0.07 1.48 6.62 -51.93 -0.34 1.14 16 47 H 0.04 0.69 8.14 -51.92 -0.42 0.27 16 48 H 0.04 0.76 8.14 -51.93 -0.42 0.34 16 49 H 0.06 1.30 6.62 -51.93 -0.34 0.95 16 50 H 0.04 0.80 7.60 -51.93 -0.39 0.41 16 51 H 0.01 0.36 7.20 -51.93 -0.37 -0.02 16 52 H 0.01 0.17 7.57 -51.93 -0.39 -0.22 16 53 H 0.26 7.54 8.31 -40.82 -0.34 7.20 16 LS Contribution 407.59 15.07 6.14 6.14 Total: -1.00 -30.09 407.59 -10.26 -40.35 By element: Atomic # 1 Polarization: 12.29 SS G_CDS: -9.61 Total: 2.68 kcal Atomic # 6 Polarization: -22.76 SS G_CDS: -1.94 Total: -24.70 kcal Atomic # 7 Polarization: -37.18 SS G_CDS: 0.12 Total: -37.06 kcal Atomic # 8 Polarization: -4.11 SS G_CDS: -0.30 Total: -4.41 kcal Atomic # 14 Polarization: 21.67 SS G_CDS: -4.67 Total: 17.00 kcal Total LS contribution 6.14 Total: 6.14 kcal Total: -30.09 -10.26 -40.35 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. ZINC000610270667.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 -5.614 kcal (2) G-P(sol) polarization free energy of solvation -30.090 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -35.704 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.259 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.349 kcal (6) G-S(sol) free energy of system = (1) + (5) -45.963 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.75 seconds