Wall clock time and date at job start Sat Apr 11 2020 06:12:13 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 1.53003 * 1 3 3 H 1.08994 * 109.46898 * 2 1 4 4 C 1.50693 * 109.46880 * 120.00396 * 2 1 3 5 5 O 1.21286 * 120.00088 * 104.89331 * 4 2 1 6 6 N 1.34779 * 120.00129 * 284.89082 * 4 2 1 7 7 C 1.46921 * 120.62788 * 354.83281 * 6 4 2 8 8 C 1.53194 * 108.77502 * 126.38953 * 7 6 4 9 9 C 1.53043 * 109.31411 * 54.63468 * 8 7 6 10 10 C 1.53042 * 109.53614 * 298.63741 * 9 8 7 11 11 H 1.09003 * 109.49817 * 301.38044 * 10 9 8 12 12 C 1.50699 * 109.49869 * 181.31584 * 10 9 8 13 13 H 1.08004 * 119.99815 * 240.00231 * 12 10 9 14 14 C 1.37873 * 120.00031 * 59.72166 * 12 10 9 15 15 N 1.31518 * 119.99918 * 0.27582 * 14 12 10 16 16 Si 1.86800 * 119.99887 * 180.27789 * 14 12 10 17 17 H 1.48505 * 109.47318 * 90.00291 * 16 14 12 18 18 H 1.48505 * 109.47180 * 209.99830 * 16 14 12 19 19 H 1.48496 * 109.47311 * 329.99791 * 16 14 12 20 20 C 1.46921 * 120.63080 * 174.83084 * 6 4 2 21 21 N 1.46506 * 109.47033 * 240.00255 * 2 1 3 22 22 C 1.46500 * 119.99844 * 300.00227 * 21 2 1 23 23 C 1.34771 * 119.99675 * 119.99977 * 21 2 1 24 24 O 1.21506 * 120.00441 * 0.02562 * 23 21 2 25 25 O 1.34645 * 119.99860 * 180.02562 * 23 21 2 26 26 C 1.45202 * 116.99874 * 180.02562 * 25 23 21 27 27 C 1.52993 * 109.47313 * 59.99681 * 26 25 23 28 28 C 1.53000 * 109.46827 * 179.97438 * 26 25 23 29 29 C 1.52999 * 109.47031 * 299.99162 * 26 25 23 30 30 H 1.08999 * 109.47272 * 185.00844 * 1 2 3 31 31 H 1.09000 * 109.46901 * 305.01109 * 1 2 3 32 32 H 1.09009 * 109.46998 * 65.00618 * 1 2 3 33 33 H 1.08997 * 109.58879 * 6.60437 * 7 6 4 34 34 H 1.08997 * 109.58933 * 246.17555 * 7 6 4 35 35 H 1.09000 * 109.49654 * 294.68396 * 8 7 6 36 36 H 1.09002 * 109.49619 * 174.58429 * 8 7 6 37 37 H 1.08993 * 109.46290 * 178.61658 * 9 8 7 38 38 H 1.09000 * 109.45887 * 58.64987 * 9 8 7 39 39 H 0.97001 * 119.99854 * 179.97438 * 15 14 12 40 40 H 1.08998 * 109.58821 * 113.82188 * 20 6 4 41 41 H 1.09003 * 109.58798 * 353.39656 * 20 6 4 42 42 H 1.08998 * 109.47001 * 90.00058 * 22 21 2 43 43 H 1.09003 * 109.46937 * 209.99903 * 22 21 2 44 44 H 1.08997 * 109.47215 * 329.99989 * 22 21 2 45 45 H 1.09003 * 109.47072 * 59.99748 * 27 26 25 46 46 H 1.09004 * 109.47134 * 179.97438 * 27 26 25 47 47 H 1.08999 * 109.47429 * 299.99804 * 27 26 25 48 48 H 1.09012 * 109.47085 * 59.99748 * 28 26 25 49 49 H 1.09001 * 109.47092 * 179.97438 * 28 26 25 50 50 H 1.09003 * 109.47222 * 300.00046 * 28 26 25 51 51 H 1.09004 * 109.46385 * 60.00502 * 29 26 25 52 52 H 1.08995 * 109.46817 * 180.02562 * 29 26 25 53 53 H 1.08998 * 109.47460 * 300.00529 * 29 26 25 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 1.8933 1.0276 0.0000 4 6 2.0323 -0.7105 1.2304 5 8 2.4889 -1.8304 1.1400 6 7 1.9741 -0.1013 2.4313 7 6 1.5296 1.2946 2.5417 8 6 0.3887 1.3696 3.5614 9 6 0.8494 0.7502 4.8829 10 6 1.2039 -0.7221 4.6619 11 1 0.3336 -1.2516 4.2741 12 6 1.6266 -1.3395 5.9700 13 1 2.6149 -1.7626 6.0731 14 6 0.7536 -1.3591 7.0370 15 7 -0.4499 -0.8438 6.9115 16 14 1.2803 -2.1174 8.6609 17 1 1.9078 -1.0758 9.5133 18 1 0.0920 -2.6754 9.3552 19 1 2.2597 -3.2040 8.4053 20 6 2.3540 -0.8207 3.6547 21 7 2.0184 -0.6906 -1.1963 22 6 1.6644 -2.0931 -1.4281 23 6 2.7932 -0.0355 -2.0833 24 8 3.0871 1.1276 -1.8908 25 8 3.2416 -0.6700 -3.1830 26 6 4.0717 0.0973 -4.0943 27 6 5.3234 0.5809 -3.3596 28 6 4.4827 -0.7847 -5.2750 29 6 3.2839 1.3039 -4.6085 30 1 -0.3634 -1.0237 0.0897 31 1 -0.3633 0.5896 0.8417 32 1 -0.3633 0.4342 -0.9315 33 1 1.1759 1.6434 1.5715 34 1 2.3596 1.9171 2.8757 35 1 -0.4737 0.8205 3.1834 36 1 0.1143 2.4118 3.7242 37 1 0.0479 0.8244 5.6177 38 1 1.7269 1.2841 5.2477 39 1 -1.0642 -0.8579 7.6621 40 1 3.2513 -0.3708 4.0795 41 1 2.5443 -1.8678 3.4188 42 1 0.7375 -2.1442 -1.9995 43 1 2.4628 -2.5818 -1.9865 44 1 1.5294 -2.5968 -0.4710 45 1 5.8846 -0.2788 -2.9933 46 1 5.9468 1.1565 -4.0439 47 1 5.0310 1.2092 -2.5182 48 1 3.5909 -1.1297 -5.7986 49 1 5.1055 -0.2086 -5.9594 50 1 5.0440 -1.6442 -4.9084 51 1 2.9914 1.9321 -3.7671 52 1 3.9069 1.8796 -5.2930 53 1 2.3921 0.9593 -5.1320 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 ZINC000855257201.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 06:12:13 Heat of formation + Delta-G solvation = -116.272607 kcal Electronic energy + Delta-G solvation = -31913.898151 eV Core-core repulsion = 27785.893934 eV Total energy + Delta-G solvation = -4128.004217 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.65 seconds Orbital eigenvalues (eV) -41.06451 -39.92418 -37.78146 -36.76078 -35.50718 -34.20866 -33.61149 -31.69887 -31.13257 -29.90803 -27.64758 -27.56556 -26.94373 -25.41016 -25.07754 -23.92740 -22.02696 -21.64132 -20.02539 -19.34463 -18.22939 -18.14191 -16.94928 -16.83421 -16.36476 -16.03818 -15.78882 -15.02411 -14.82702 -14.59422 -14.51436 -14.14777 -13.82276 -13.69437 -13.52661 -13.32613 -12.86203 -12.82047 -12.73588 -12.57280 -12.37602 -12.29562 -12.13508 -12.09665 -12.09203 -11.94563 -11.76324 -11.65390 -11.49818 -11.41267 -11.00453 -10.86949 -10.76729 -10.52719 -10.34813 -10.08146 -9.98589 -9.86874 -9.63850 -9.45376 -8.90925 -8.57692 -8.41926 -7.96087 -6.05274 -4.12333 1.96274 2.73044 2.89061 3.27664 3.34689 3.37876 3.47570 3.77435 4.39914 4.50766 4.55018 4.62284 4.69496 4.92243 4.98394 5.21142 5.23630 5.23939 5.31465 5.31974 5.39509 5.46186 5.51575 5.55620 5.57235 5.59477 5.65567 5.66124 5.75665 5.76622 5.97574 6.01619 6.06344 6.09109 6.13495 6.29056 6.32810 6.33209 6.37789 6.43995 6.62641 6.76483 6.90416 7.12504 7.26659 7.30039 7.65554 7.85170 7.93351 8.03883 8.24665 8.33300 8.52127 8.91077 9.52798 11.00133 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.024779 B = 0.002472 C = 0.002416 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1129.725196 B =11324.658428 C =11586.663797 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.158 4.158 2 C 0.134 3.866 3 H 0.124 0.876 4 C 0.503 3.497 5 O -0.543 6.543 6 N -0.596 5.596 7 C 0.103 3.897 8 C -0.134 4.134 9 C -0.114 4.114 10 C 0.041 3.959 11 H 0.030 0.970 12 C -0.514 4.514 13 H 0.057 0.943 14 C 0.064 3.936 15 N -0.889 5.889 16 Si 0.893 3.107 17 H -0.281 1.281 18 H -0.287 1.287 19 H -0.274 1.274 20 C 0.118 3.882 21 N -0.576 5.576 22 C 0.079 3.921 23 C 0.656 3.344 24 O -0.573 6.573 25 O -0.358 6.358 26 C 0.134 3.866 27 C -0.184 4.184 28 C -0.140 4.140 29 C -0.182 4.182 30 H 0.068 0.932 31 H 0.083 0.917 32 H 0.070 0.930 33 H 0.072 0.928 34 H 0.066 0.934 35 H 0.059 0.941 36 H 0.058 0.942 37 H 0.097 0.903 38 H 0.036 0.964 39 H 0.261 0.739 40 H 0.056 0.944 41 H 0.078 0.922 42 H 0.050 0.950 43 H 0.073 0.927 44 H 0.098 0.902 45 H 0.059 0.941 46 H 0.069 0.931 47 H 0.088 0.912 48 H 0.066 0.934 49 H 0.079 0.921 50 H 0.066 0.934 51 H 0.088 0.912 52 H 0.069 0.931 53 H 0.058 0.942 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 3.756 4.603 -21.758 22.554 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 -0.216 4.216 2 C 0.028 3.972 3 H 0.142 0.858 4 C 0.288 3.712 5 O -0.421 6.421 6 N -0.328 5.328 7 C -0.020 4.020 8 C -0.173 4.173 9 C -0.152 4.152 10 C 0.022 3.978 11 H 0.048 0.952 12 C -0.553 4.553 13 H 0.075 0.925 14 C -0.138 4.138 15 N -0.527 5.527 16 Si 0.721 3.279 17 H -0.207 1.207 18 H -0.212 1.212 19 H -0.199 1.199 20 C -0.003 4.003 21 N -0.315 5.315 22 C -0.063 4.063 23 C 0.411 3.589 24 O -0.463 6.463 25 O -0.273 6.273 26 C 0.097 3.903 27 C -0.241 4.241 28 C -0.197 4.197 29 C -0.239 4.239 30 H 0.087 0.913 31 H 0.102 0.898 32 H 0.089 0.911 33 H 0.090 0.910 34 H 0.084 0.916 35 H 0.078 0.922 36 H 0.077 0.923 37 H 0.115 0.885 38 H 0.055 0.945 39 H 0.070 0.930 40 H 0.074 0.926 41 H 0.097 0.903 42 H 0.068 0.932 43 H 0.091 0.909 44 H 0.116 0.884 45 H 0.079 0.921 46 H 0.088 0.912 47 H 0.107 0.893 48 H 0.085 0.915 49 H 0.098 0.902 50 H 0.086 0.914 51 H 0.107 0.893 52 H 0.088 0.912 53 H 0.077 0.923 Dipole moment (debyes) X Y Z Total from point charges 3.977 4.382 -21.708 22.500 hybrid contribution 0.246 -0.281 0.963 1.033 sum 4.223 4.101 -20.745 21.564 Atomic orbital electron populations 1.22129 0.91909 1.03957 1.03600 1.20982 0.95890 0.98064 0.82262 0.85799 1.20662 0.79127 0.86744 0.84628 1.90615 1.46524 1.19514 1.85469 1.48288 1.64234 1.13336 1.06932 1.21881 0.98151 0.82027 0.99917 1.22019 0.96950 1.00436 0.97850 1.21644 1.01684 0.97015 0.94812 1.18972 0.92857 0.93252 0.92712 0.95228 1.21069 1.00181 1.38020 0.96002 0.92494 1.24927 0.94843 0.95233 0.98775 1.69866 1.06183 1.45266 1.31433 0.86581 0.78132 0.79547 0.83679 1.20680 1.21235 1.19868 1.22034 0.99150 0.96447 0.82648 1.46305 1.51230 1.13401 1.20585 1.21949 1.00219 0.80223 1.03937 1.17918 0.77940 0.83260 0.79817 1.90866 1.61706 1.16023 1.77697 1.86318 1.64328 1.44623 1.32034 1.22069 0.89371 0.91188 0.87629 1.22515 0.96455 1.02561 1.02555 1.21851 1.02139 1.00009 0.95697 1.22507 1.00363 0.98064 1.03000 0.91270 0.89795 0.91092 0.90958 0.91578 0.92240 0.92287 0.88516 0.94531 0.92957 0.92612 0.90312 0.93180 0.90856 0.88391 0.92147 0.91236 0.89331 0.91516 0.90219 0.91446 0.89311 0.91249 0.92255 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 -0.16 -1.86 8.85 37.16 0.33 -1.53 16 2 C 0.13 1.91 2.19 -69.08 -0.15 1.76 16 3 H 0.12 1.76 5.60 -51.93 -0.29 1.46 16 4 C 0.50 8.90 6.87 -10.99 -0.08 8.82 16 5 O -0.54 -11.08 13.39 5.55 0.07 -11.01 16 6 N -0.60 -10.76 2.97 -172.78 -0.51 -11.27 16 7 C 0.10 1.57 5.72 -3.71 -0.02 1.54 16 8 C -0.13 -2.26 6.08 -26.61 -0.16 -2.42 16 9 C -0.11 -2.46 4.96 -26.69 -0.13 -2.59 16 10 C 0.04 0.98 2.25 -91.65 -0.21 0.77 16 11 H 0.03 0.78 8.14 -51.93 -0.42 0.36 16 12 C -0.51 -13.65 8.57 -34.44 -0.30 -13.94 16 13 H 0.06 1.50 7.74 -52.48 -0.41 1.10 16 14 C 0.06 1.71 5.30 -17.82 -0.09 1.61 16 15 N -0.89 -24.43 11.30 55.43 0.63 -23.80 16 16 Si 0.89 20.85 29.54 -169.99 -5.02 15.83 16 17 H -0.28 -6.49 7.11 56.52 0.40 -6.09 16 18 H -0.29 -6.68 7.11 56.52 0.40 -6.28 16 19 H -0.27 -6.38 7.11 56.52 0.40 -5.98 16 20 C 0.12 2.50 5.64 -3.71 -0.02 2.48 16 21 N -0.58 -8.21 2.64 -181.07 -0.48 -8.69 16 22 C 0.08 1.00 9.19 59.85 0.55 1.55 16 23 C 0.66 9.58 7.70 54.05 0.42 10.00 16 24 O -0.57 -9.05 11.21 -19.28 -0.22 -9.27 16 25 O -0.36 -4.63 8.71 -40.34 -0.35 -4.98 16 26 C 0.13 1.38 1.13 -90.62 -0.10 1.28 16 27 C -0.18 -1.93 8.37 37.15 0.31 -1.62 16 28 C -0.14 -1.04 8.85 37.16 0.33 -0.71 16 29 C -0.18 -1.74 8.37 37.16 0.31 -1.43 16 30 H 0.07 0.84 7.84 -51.93 -0.41 0.43 16 31 H 0.08 0.96 6.54 -51.93 -0.34 0.62 16 32 H 0.07 0.72 8.14 -51.92 -0.42 0.30 16 33 H 0.07 0.90 4.73 -51.93 -0.25 0.65 16 34 H 0.07 0.96 8.14 -51.93 -0.42 0.54 16 35 H 0.06 1.02 7.97 -51.93 -0.41 0.61 16 36 H 0.06 0.86 8.14 -51.93 -0.42 0.44 16 37 H 0.10 2.39 6.03 -51.93 -0.31 2.07 16 38 H 0.04 0.78 8.14 -51.93 -0.42 0.36 16 39 H 0.26 6.87 8.31 -40.82 -0.34 6.53 16 40 H 0.06 1.17 8.14 -51.93 -0.42 0.74 16 41 H 0.08 1.79 7.04 -51.93 -0.37 1.42 16 42 H 0.05 0.52 8.14 -51.93 -0.42 0.10 16 43 H 0.07 0.90 7.38 -51.93 -0.38 0.51 16 44 H 0.10 1.43 5.79 -51.93 -0.30 1.13 16 45 H 0.06 0.64 8.14 -51.93 -0.42 0.21 16 46 H 0.07 0.57 8.14 -51.93 -0.42 0.14 16 47 H 0.09 1.16 5.88 -51.93 -0.31 0.85 16 48 H 0.07 0.47 8.14 -51.92 -0.42 0.04 16 49 H 0.08 0.44 8.14 -51.93 -0.42 0.01 16 50 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 51 H 0.09 1.06 5.88 -51.93 -0.31 0.75 16 52 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 53 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 LS Contribution 401.86 15.07 6.06 6.06 Total: -1.00 -30.24 401.86 -7.97 -38.20 By element: Atomic # 1 Polarization: 12.48 SS G_CDS: -9.13 Total: 3.35 kcal Atomic # 6 Polarization: 4.60 SS G_CDS: 0.98 Total: 5.58 kcal Atomic # 7 Polarization: -43.39 SS G_CDS: -0.37 Total: -43.76 kcal Atomic # 8 Polarization: -24.77 SS G_CDS: -0.49 Total: -25.26 kcal Atomic # 14 Polarization: 20.85 SS G_CDS: -5.02 Total: 15.83 kcal Total LS contribution 6.06 Total: 6.06 kcal Total: -30.24 -7.97 -38.20 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. ZINC000855257201.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 -78.068 kcal (2) G-P(sol) polarization free energy of solvation -30.235 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -108.303 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.970 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.205 kcal (6) G-S(sol) free energy of system = (1) + (5) -116.273 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.65 seconds