Wall clock time and date at job start Sat Apr 11 2020 06:09:57 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 1.52995 * 1 3 3 C 1.53000 * 109.47095 * 2 1 4 4 H 1.09000 * 109.48076 * 305.02941 * 3 2 1 5 5 C 1.53090 * 109.48383 * 185.00159 * 3 2 1 6 6 C 1.53175 * 109.16500 * 182.40155 * 5 3 2 7 7 H 1.09001 * 109.54332 * 297.02110 * 6 5 3 8 8 C 1.50703 * 109.54437 * 176.84672 * 6 5 3 9 9 O 1.21286 * 119.99993 * 337.99126 * 8 6 5 10 10 N 1.34777 * 120.00068 * 157.98430 * 8 6 5 11 11 C 1.46927 * 120.62989 * 175.62424 * 10 8 6 12 12 C 1.53194 * 108.77195 * 126.37327 * 11 10 8 13 13 C 1.53042 * 109.31377 * 54.63589 * 12 11 10 14 14 O 1.42902 * 109.45826 * 58.65150 * 13 12 11 15 15 C 1.52994 * 109.46012 * 178.62634 * 13 12 11 16 16 N 1.46503 * 109.47208 * 180.02562 * 15 13 12 17 17 C 1.36934 * 119.99926 * 180.02562 * 16 15 13 18 18 H 1.08000 * 120.00018 * 359.97438 * 17 16 15 19 19 C 1.38815 * 119.99831 * 179.97438 * 17 16 15 20 20 N 1.31619 * 119.99963 * 0.02562 * 19 17 16 21 21 Si 1.86799 * 119.99893 * 179.97438 * 19 17 16 22 22 H 1.48496 * 109.47009 * 89.99966 * 21 19 17 23 23 H 1.48497 * 109.47192 * 210.00021 * 21 19 17 24 24 H 1.48498 * 109.47306 * 330.00002 * 21 19 17 25 25 C 1.53035 * 109.53582 * 298.63358 * 13 12 11 26 26 C 1.46926 * 120.63085 * 355.60980 * 10 8 6 27 27 C 1.53172 * 109.03629 * 56.97782 * 6 5 3 28 28 C 1.53089 * 109.16761 * 303.02157 * 27 6 5 29 29 O 1.42897 * 109.41588 * 57.60771 * 28 27 6 30 30 H 1.08997 * 109.47023 * 299.99368 * 1 2 3 31 31 H 1.09002 * 109.47590 * 60.00006 * 1 2 3 32 32 H 1.09007 * 109.46941 * 179.97438 * 1 2 3 33 33 H 1.09001 * 109.47243 * 240.00179 * 2 1 3 34 34 H 1.08996 * 109.47600 * 120.00416 * 2 1 3 35 35 H 1.09003 * 109.52475 * 62.48910 * 5 3 2 36 36 H 1.09009 * 109.52293 * 302.30483 * 5 3 2 37 37 H 1.09001 * 109.58350 * 6.58576 * 11 10 8 38 38 H 1.08997 * 109.58467 * 246.15724 * 11 10 8 39 39 H 1.09000 * 109.49664 * 294.68124 * 12 11 10 40 40 H 1.08999 * 109.49296 * 174.58587 * 12 11 10 41 41 H 0.96697 * 113.99799 * 179.97438 * 14 13 12 42 42 H 1.09007 * 109.47213 * 300.02552 * 15 13 12 43 43 H 1.08997 * 109.47407 * 60.02380 * 15 13 12 44 44 H 0.97001 * 119.99579 * 359.97438 * 16 15 13 45 45 H 0.96999 * 119.99819 * 179.97438 * 20 19 17 46 46 H 1.09007 * 109.49573 * 181.31501 * 25 13 12 47 47 H 1.08998 * 109.50089 * 301.41451 * 25 13 12 48 48 H 1.09001 * 109.58383 * 353.40697 * 26 10 8 49 49 H 1.08997 * 109.59135 * 113.83645 * 26 10 8 50 50 H 1.08998 * 109.52400 * 62.92683 * 27 6 5 51 51 H 1.09008 * 109.52006 * 183.11445 * 27 6 5 52 52 H 1.09007 * 109.48076 * 297.62585 * 28 27 6 53 53 H 1.08992 * 109.49320 * 177.60007 * 28 27 6 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 1.5299 0.0000 0.0000 3 6 2.0399 1.4425 0.0000 4 1 1.6050 1.9818 -0.8415 5 6 3.5657 1.4447 -0.1258 6 6 4.0732 2.8886 -0.0647 7 1 3.6803 3.4494 -0.9128 8 6 5.5795 2.8959 -0.1100 9 8 6.2007 1.9055 0.2131 10 7 6.2364 4.0028 -0.5096 11 6 7.7040 4.0582 -0.4683 12 6 8.2214 4.4581 -1.8537 13 6 7.5549 5.7666 -2.2847 14 8 7.8428 6.7860 -1.3256 15 6 8.0948 6.1870 -3.6531 16 7 7.4573 7.4399 -4.0657 17 6 7.7853 8.0122 -5.2657 18 1 8.5142 7.5402 -5.9078 19 6 7.1809 9.1990 -5.6568 20 7 6.2929 9.7745 -4.8741 21 14 7.6289 9.9802 -7.2935 22 1 6.7270 9.4612 -8.3529 23 1 7.4804 11.4544 -7.1955 24 1 9.0353 9.6458 -7.6331 25 6 6.0406 5.5641 -2.3746 26 6 5.4985 5.1769 -0.9951 27 6 3.5967 3.5308 1.2417 28 6 2.0698 3.4481 1.3148 29 8 1.6631 2.0814 1.2215 30 1 -0.3633 0.5137 0.8900 31 1 -0.3634 0.5138 -0.8900 32 1 -0.3633 -1.0277 -0.0005 33 1 1.8933 -0.5138 -0.8900 34 1 1.8934 -0.5139 0.8899 35 1 3.8534 0.9973 -1.0773 36 1 3.9996 0.8711 0.6934 37 1 8.0992 3.0787 -0.1993 38 1 8.0212 4.7972 0.2674 39 1 7.9818 3.6739 -2.5718 40 1 9.3018 4.5965 -1.8125 41 1 7.4514 7.6450 -1.5352 42 1 9.1733 6.3319 -3.5894 43 1 7.8753 5.4095 -4.3849 44 1 6.8023 7.8636 -3.4891 45 1 5.8709 10.6040 -5.1473 46 1 5.5688 6.4899 -2.7042 47 1 5.8215 4.7695 -3.0878 48 1 4.4385 4.9353 -1.0738 49 1 5.6358 6.0070 -0.3023 50 1 4.0312 2.9994 2.0884 51 1 3.9066 4.5755 1.2682 52 1 1.6353 4.0137 0.4904 53 1 1.7279 3.8653 2.2618 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 ZINC001484962608.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 06:09:57 Heat of formation + Delta-G solvation = -136.267934 kcal Electronic energy + Delta-G solvation = -31409.521752 eV Core-core repulsion = 27280.650472 eV Total energy + Delta-G solvation = -4128.871280 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.16 seconds Orbital eigenvalues (eV) -40.85164 -39.50407 -38.33612 -35.56658 -34.39660 -34.06672 -33.95009 -31.93820 -31.16001 -30.37656 -30.10724 -27.15308 -25.96335 -24.15668 -23.76744 -23.36705 -22.39597 -21.52533 -20.87671 -19.99989 -18.84577 -17.61362 -17.36624 -16.74750 -16.40124 -15.90200 -15.73753 -15.23664 -15.00046 -14.80488 -14.63303 -14.24969 -14.11830 -14.02505 -13.93370 -13.63935 -13.42247 -13.32555 -13.00034 -12.91638 -12.60774 -12.37528 -12.11052 -12.06533 -11.90379 -11.70760 -11.53713 -11.37332 -11.17524 -11.13036 -11.10869 -11.05715 -10.92247 -10.88007 -10.60344 -10.33111 -10.18595 -10.02750 -9.73676 -9.55591 -9.41955 -8.99553 -8.58531 -7.06354 -5.88880 -3.17838 2.53903 2.92403 3.36955 3.42953 3.44095 3.48557 4.22208 4.32191 4.44497 4.48701 4.52226 4.60339 4.67983 4.82338 4.82483 4.91654 5.02171 5.03079 5.07507 5.09747 5.16056 5.17351 5.33533 5.37440 5.40874 5.44216 5.46505 5.51852 5.55745 5.59699 5.68701 5.71574 5.75279 5.82799 5.83539 5.85427 5.93776 5.99469 6.01513 6.07065 6.07740 6.28106 6.34084 6.53442 6.63104 6.65925 6.96614 7.38014 7.60590 8.03207 8.11727 8.30290 9.41035 9.94222 10.28508 11.33934 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015073 B = 0.002450 C = 0.002271 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1857.221511 B =11423.790931 C =12326.708157 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 -0.116 4.116 3 C 0.091 3.909 4 H 0.059 0.941 5 C -0.131 4.131 6 C -0.111 4.111 7 H 0.095 0.905 8 C 0.521 3.479 9 O -0.546 6.546 10 N -0.605 5.605 11 C 0.118 3.882 12 C -0.116 4.116 13 C 0.131 3.869 14 O -0.560 6.560 15 C 0.128 3.872 16 N -0.729 5.729 17 C -0.241 4.241 18 H 0.071 0.929 19 C -0.012 4.012 20 N -0.934 5.934 21 Si 0.908 3.092 22 H -0.289 1.289 23 H -0.291 1.291 24 H -0.282 1.282 25 C -0.158 4.158 26 C 0.109 3.891 27 C -0.144 4.144 28 C 0.065 3.935 29 O -0.377 6.377 30 H 0.062 0.938 31 H 0.052 0.948 32 H 0.053 0.947 33 H 0.076 0.924 34 H 0.071 0.929 35 H 0.076 0.924 36 H 0.084 0.916 37 H 0.087 0.913 38 H 0.075 0.925 39 H 0.076 0.924 40 H 0.082 0.918 41 H 0.383 0.617 42 H 0.029 0.971 43 H 0.025 0.975 44 H 0.380 0.620 45 H 0.256 0.744 46 H 0.092 0.908 47 H 0.073 0.927 48 H 0.081 0.919 49 H 0.076 0.924 50 H 0.078 0.922 51 H 0.080 0.920 52 H 0.053 0.947 53 H 0.098 0.902 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.152 -15.280 12.491 21.755 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 -0.153 4.153 3 C 0.033 3.967 4 H 0.077 0.923 5 C -0.169 4.169 6 C -0.132 4.132 7 H 0.113 0.887 8 C 0.309 3.691 9 O -0.424 6.424 10 N -0.337 5.337 11 C -0.005 4.005 12 C -0.155 4.155 13 C 0.090 3.910 14 O -0.368 6.368 15 C 0.000 4.000 16 N -0.375 5.375 17 C -0.372 4.372 18 H 0.089 0.911 19 C -0.208 4.208 20 N -0.583 5.583 21 Si 0.739 3.261 22 H -0.217 1.217 23 H -0.217 1.217 24 H -0.207 1.207 25 C -0.196 4.196 26 C -0.013 4.013 27 C -0.182 4.182 28 C -0.012 4.012 29 O -0.296 6.296 30 H 0.081 0.919 31 H 0.071 0.929 32 H 0.072 0.928 33 H 0.095 0.905 34 H 0.090 0.910 35 H 0.094 0.906 36 H 0.103 0.897 37 H 0.106 0.894 38 H 0.094 0.906 39 H 0.095 0.905 40 H 0.100 0.900 41 H 0.232 0.768 42 H 0.047 0.953 43 H 0.043 0.957 44 H 0.214 0.786 45 H 0.066 0.934 46 H 0.110 0.890 47 H 0.091 0.909 48 H 0.100 0.900 49 H 0.095 0.905 50 H 0.097 0.903 51 H 0.099 0.901 52 H 0.071 0.929 53 H 0.116 0.884 Dipole moment (debyes) X Y Z Total from point charges -8.504 -16.346 12.933 22.511 hybrid contribution -0.043 1.502 -1.489 2.115 sum -8.547 -14.844 11.444 20.600 Atomic orbital electron populations 1.21721 0.95210 1.01508 1.02273 1.21535 0.96649 0.94220 1.02932 1.22182 0.93170 0.94263 0.87098 0.92292 1.22083 0.95605 0.95060 1.04187 1.21408 0.92623 0.99022 1.00179 0.88668 1.20485 0.89757 0.82307 0.76578 1.90665 1.69315 1.33092 1.49353 1.48153 1.07338 1.14610 1.63643 1.21527 0.78844 1.02541 0.97539 1.21844 1.01089 0.95563 0.97003 1.21274 0.92686 0.87984 0.89105 1.86374 1.78454 1.22469 1.49472 1.21317 0.96312 0.89988 0.92336 1.42278 1.49744 1.23536 1.21934 1.19201 1.19127 1.03652 0.95175 0.91144 1.24727 0.99287 0.98005 0.98757 1.69625 1.30974 1.20300 1.37393 0.86168 0.77916 0.78514 0.83457 1.21684 1.21695 1.20738 1.22553 0.97217 1.03670 0.96193 1.21816 0.95593 0.87780 0.96129 1.22150 0.97446 1.01799 0.96828 1.22543 0.92862 0.83320 1.02484 1.87928 1.78482 1.24564 1.38613 0.91934 0.92920 0.92806 0.90546 0.91000 0.90576 0.89719 0.89431 0.90643 0.90524 0.89988 0.76825 0.95331 0.95699 0.78560 0.93403 0.88985 0.90877 0.90034 0.90549 0.90330 0.90135 0.92855 0.88423 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 -1.08 9.81 37.15 0.36 -0.71 16 2 C -0.12 -0.90 5.64 -26.73 -0.15 -1.05 16 3 C 0.09 0.80 2.64 -26.68 -0.07 0.73 16 4 H 0.06 0.49 8.14 -51.93 -0.42 0.06 16 5 C -0.13 -1.31 4.26 -26.59 -0.11 -1.43 16 6 C -0.11 -1.12 1.78 -91.59 -0.16 -1.28 16 7 H 0.10 0.86 6.22 -51.93 -0.32 0.53 16 8 C 0.52 6.82 6.84 -10.98 -0.08 6.74 16 9 O -0.55 -8.92 15.41 5.55 0.09 -8.83 16 10 N -0.60 -7.59 2.97 -172.76 -0.51 -8.10 16 11 C 0.12 1.54 6.20 -3.71 -0.02 1.52 16 12 C -0.12 -1.58 5.11 -26.61 -0.14 -1.71 16 13 C 0.13 1.99 0.71 -90.58 -0.06 1.93 16 14 O -0.56 -8.88 11.70 -35.23 -0.41 -9.29 16 15 C 0.13 2.45 5.40 -4.04 -0.02 2.43 16 16 N -0.73 -17.00 5.07 -59.91 -0.30 -17.30 16 17 C -0.24 -6.44 9.99 -15.06 -0.15 -6.59 16 18 H 0.07 1.86 7.83 -52.49 -0.41 1.45 16 19 C -0.01 -0.32 5.50 -17.43 -0.10 -0.42 16 20 N -0.93 -26.70 13.06 55.49 0.72 -25.98 16 21 Si 0.91 21.76 29.55 -169.99 -5.02 16.73 16 22 H -0.29 -6.92 7.11 56.52 0.40 -6.52 16 23 H -0.29 -7.02 7.11 56.52 0.40 -6.62 16 24 H -0.28 -6.62 7.11 56.52 0.40 -6.22 16 25 C -0.16 -2.19 4.93 -26.61 -0.13 -2.33 16 26 C 0.11 1.25 5.76 -3.71 -0.02 1.23 16 27 C -0.14 -1.27 5.38 -26.60 -0.14 -1.41 16 28 C 0.06 0.51 6.84 37.20 0.25 0.77 16 29 O -0.38 -3.70 9.94 -35.23 -0.35 -4.05 16 30 H 0.06 0.50 7.82 -51.93 -0.41 0.09 16 31 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 32 H 0.05 0.34 8.14 -51.93 -0.42 -0.09 16 33 H 0.08 0.52 8.14 -51.93 -0.42 0.10 16 34 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 35 H 0.08 0.75 8.14 -51.93 -0.42 0.33 16 36 H 0.08 0.98 7.78 -51.92 -0.40 0.58 16 37 H 0.09 1.19 7.00 -51.93 -0.36 0.83 16 38 H 0.08 1.01 7.81 -51.93 -0.41 0.60 16 39 H 0.08 1.02 8.14 -51.93 -0.42 0.60 16 40 H 0.08 1.08 8.14 -51.93 -0.42 0.65 16 41 H 0.38 6.07 7.85 45.56 0.36 6.43 16 42 H 0.03 0.58 8.14 -51.93 -0.42 0.16 16 43 H 0.03 0.49 8.14 -51.93 -0.42 0.06 16 44 H 0.38 8.94 5.58 -40.82 -0.23 8.72 16 45 H 0.26 7.13 8.31 -40.82 -0.34 6.79 16 46 H 0.09 1.43 6.82 -51.93 -0.35 1.08 16 47 H 0.07 1.04 8.14 -51.93 -0.42 0.61 16 48 H 0.08 0.77 5.43 -51.93 -0.28 0.49 16 49 H 0.08 0.87 7.81 -51.93 -0.41 0.46 16 50 H 0.08 0.79 8.14 -51.93 -0.42 0.37 16 51 H 0.08 0.64 7.84 -51.92 -0.41 0.23 16 52 H 0.05 0.38 8.14 -51.92 -0.42 -0.05 16 53 H 0.10 0.64 8.14 -51.93 -0.42 0.22 16 LS Contribution 403.91 15.07 6.09 6.09 Total: -1.00 -31.12 403.91 -9.13 -40.25 By element: Atomic # 1 Polarization: 20.75 SS G_CDS: -8.69 Total: 12.07 kcal Atomic # 6 Polarization: -0.84 SS G_CDS: -0.74 Total: -1.58 kcal Atomic # 7 Polarization: -51.28 SS G_CDS: -0.09 Total: -51.38 kcal Atomic # 8 Polarization: -21.50 SS G_CDS: -0.68 Total: -22.18 kcal Atomic # 14 Polarization: 21.76 SS G_CDS: -5.02 Total: 16.73 kcal Total LS contribution 6.09 Total: 6.09 kcal Total: -31.12 -9.13 -40.25 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. ZINC001484962608.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 -96.018 kcal (2) G-P(sol) polarization free energy of solvation -31.118 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -127.136 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.132 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.250 kcal (6) G-S(sol) free energy of system = (1) + (5) -136.268 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.16 seconds