Wall clock time and date at job start Sat Apr 11 2020 06:11:27 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 O 1.42899 * 1 3 3 C 1.42899 * 114.00262 * 2 1 4 4 H 1.08997 * 109.46843 * 330.00658 * 3 2 1 5 5 C 1.53006 * 109.46727 * 89.99951 * 3 2 1 6 6 C 1.53002 * 109.46747 * 180.02562 * 5 3 2 7 7 C 1.53001 * 109.47237 * 300.00210 * 6 5 3 8 8 C 1.52993 * 109.47214 * 60.00118 * 7 6 5 9 9 H 1.08998 * 109.47316 * 180.02562 * 8 7 6 10 10 C 1.50693 * 109.47171 * 60.00230 * 8 7 6 11 11 O 1.21282 * 120.00138 * 355.18251 * 10 8 7 12 12 N 1.34781 * 120.00123 * 175.18533 * 10 8 7 13 13 C 1.46925 * 120.62896 * 174.56123 * 12 10 8 14 14 C 1.53195 * 108.77427 * 126.41602 * 13 12 10 15 15 C 1.53038 * 109.31463 * 54.63040 * 14 13 12 16 16 O 1.42902 * 109.45869 * 58.65663 * 15 14 13 17 17 C 1.53000 * 109.46068 * 178.62809 * 15 14 13 18 18 N 1.46501 * 109.47034 * 180.02562 * 17 15 14 19 19 C 1.36938 * 119.99643 * 180.02562 * 18 17 15 20 20 H 1.07996 * 120.00423 * 359.97438 * 19 18 17 21 21 C 1.38819 * 119.99772 * 180.02562 * 19 18 17 22 22 N 1.31616 * 119.99985 * 359.97438 * 21 19 18 23 23 Si 1.86801 * 119.99927 * 179.97438 * 21 19 18 24 24 H 1.48500 * 109.47138 * 59.99913 * 23 21 19 25 25 H 1.48499 * 109.46999 * 179.97438 * 23 21 19 26 26 H 1.48493 * 109.47077 * 299.99910 * 23 21 19 27 27 C 1.53035 * 109.54085 * 298.63866 * 15 14 13 28 28 C 1.46919 * 120.63006 * 354.58644 * 12 10 8 29 29 C 1.53001 * 109.47480 * 210.00298 * 3 2 1 30 30 H 1.08993 * 109.47151 * 299.99667 * 1 2 3 31 31 H 1.09003 * 109.47197 * 59.99587 * 1 2 3 32 32 H 1.08998 * 109.47235 * 179.97438 * 1 2 3 33 33 H 1.08997 * 109.46882 * 60.00731 * 5 3 2 34 34 H 1.08998 * 109.47526 * 300.00094 * 5 3 2 35 35 H 1.09000 * 109.46777 * 180.02562 * 6 5 3 36 36 H 1.08996 * 109.47582 * 60.00493 * 6 5 3 37 37 H 1.09006 * 109.47116 * 300.00051 * 7 6 5 38 38 H 1.09001 * 109.47271 * 180.02562 * 7 6 5 39 39 H 1.09001 * 109.58864 * 6.62861 * 13 12 10 40 40 H 1.09006 * 109.70766 * 246.26731 * 13 12 10 41 41 H 1.09008 * 109.49483 * 294.68432 * 14 13 12 42 42 H 1.09000 * 109.52880 * 174.60318 * 14 13 12 43 43 H 0.96694 * 113.99755 * 179.97438 * 16 15 14 44 44 H 1.08992 * 109.47365 * 300.02908 * 17 15 14 45 45 H 1.09008 * 109.47024 * 60.02953 * 17 15 14 46 46 H 0.96993 * 120.00105 * 0.02562 * 18 17 15 47 47 H 0.96993 * 120.00257 * 180.02562 * 22 21 19 48 48 H 1.09004 * 109.50320 * 181.31374 * 27 15 14 49 49 H 1.09006 * 109.49591 * 301.41336 * 27 15 14 50 50 H 1.09003 * 109.58592 * 353.36992 * 28 12 10 51 51 H 1.09001 * 109.58973 * 113.79928 * 28 12 10 52 52 H 1.08993 * 109.47118 * 59.99832 * 29 3 2 53 53 H 1.09001 * 109.46781 * 299.99601 * 29 3 2 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 8 1.4290 0.0000 0.0000 3 6 2.0103 1.3054 0.0000 4 1 1.3450 1.9993 -0.5137 5 6 2.2177 1.7713 1.4426 6 6 2.8395 3.1692 1.4426 7 6 4.1881 3.1276 0.7211 8 6 3.9806 2.6618 -0.7213 9 1 4.9414 2.6317 -1.2352 10 6 3.0605 3.6209 -1.4315 11 8 2.5452 4.5325 -0.8196 12 7 2.8100 3.4656 -2.7467 13 6 1.8251 4.3177 -3.4269 14 6 2.4904 4.9634 -4.6464 15 6 3.0940 3.8705 -5.5316 16 8 2.0656 2.9656 -5.9386 17 6 3.7296 4.5093 -6.7681 18 7 4.3069 3.4632 -7.6159 19 6 4.9345 3.7989 -8.7858 20 1 5.0035 4.8347 -9.0837 21 6 5.4810 2.8077 -9.5894 22 7 5.3965 1.5454 -9.2267 23 14 6.3365 3.2656 -11.1857 24 1 7.4829 4.1630 -10.8931 25 1 6.8301 2.0345 -11.8535 26 1 5.3772 3.9632 -12.0789 27 6 4.1627 3.1075 -4.7458 28 6 3.5164 2.4408 -3.5273 29 6 3.3589 1.2633 -0.7213 30 1 -0.3633 0.5137 0.8899 31 1 -0.3634 0.5139 -0.8900 32 1 -0.3633 -1.0276 -0.0005 33 1 2.8830 1.0773 1.9563 34 1 1.2569 1.8013 1.9564 35 1 2.9877 3.5009 2.4703 36 1 2.1739 3.8630 0.9290 37 1 4.8537 2.4339 1.2348 38 1 4.6312 4.1235 0.7215 39 1 1.4809 5.0947 -2.7443 40 1 0.9774 3.7136 -3.7503 41 1 3.2785 5.6398 -4.3154 42 1 1.7464 5.5219 -5.2143 43 1 2.3766 2.2454 -6.5039 44 1 2.9686 5.0523 -7.3284 45 1 4.5141 5.1996 -6.4578 46 1 4.2445 2.5329 -7.3486 47 1 5.7787 0.8528 -9.7880 48 1 4.6085 2.3446 -5.3841 49 1 4.9350 3.8015 -4.4138 50 1 4.2880 1.9794 -2.9111 51 1 2.8082 1.6815 -3.8591 52 1 3.2111 0.9314 -1.7489 53 1 4.0242 0.5694 -0.2074 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 ZINC001484959324.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 06:11:27 Heat of formation + Delta-G solvation = -128.543886 kcal Electronic energy + Delta-G solvation = -32140.843702 eV Core-core repulsion = 28012.307362 eV Total energy + Delta-G solvation = -4128.536340 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.68 seconds Orbital eigenvalues (eV) -41.07160 -39.26637 -38.20942 -36.21448 -35.54921 -34.03754 -32.39741 -31.52817 -30.64824 -30.28653 -30.16411 -26.85238 -26.60587 -24.45078 -23.50875 -23.19901 -22.45304 -21.79203 -20.86177 -19.96713 -18.63993 -17.57713 -17.26389 -16.89327 -16.01227 -15.78759 -15.62910 -15.31351 -15.10420 -14.95710 -14.63639 -14.38975 -14.15974 -13.91320 -13.81648 -13.62318 -13.28062 -13.06032 -12.91574 -12.76886 -12.60830 -12.28883 -12.22862 -12.14146 -11.93189 -11.84353 -11.50256 -11.22959 -11.12773 -11.07834 -11.01745 -10.88802 -10.84741 -10.72123 -10.61881 -10.32931 -10.17762 -9.71491 -9.66250 -9.53218 -9.35706 -8.97205 -8.54766 -7.04473 -5.86703 -3.15791 2.55560 2.96479 3.39124 3.43990 3.44547 3.47182 4.28080 4.42520 4.49683 4.53502 4.56010 4.77533 4.82829 4.93080 4.95539 4.99880 5.04600 5.10863 5.14324 5.16491 5.17371 5.23635 5.32390 5.38015 5.42484 5.45501 5.48200 5.55261 5.61112 5.65002 5.72875 5.78535 5.82519 5.87729 5.90251 5.94924 5.99954 6.02376 6.04320 6.09668 6.30745 6.34878 6.37002 6.57423 6.65299 6.68148 6.98124 7.41108 7.61830 8.05210 8.14586 8.32401 9.43006 9.96356 10.30623 11.35998 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018516 B = 0.002598 C = 0.002524 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1511.809392 B =10773.274748 C =11089.536660 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.032 3.968 2 O -0.385 6.385 3 C 0.089 3.911 4 H 0.059 0.941 5 C -0.138 4.138 6 C -0.134 4.134 7 C -0.098 4.098 8 C -0.107 4.107 9 H 0.102 0.898 10 C 0.519 3.481 11 O -0.543 6.543 12 N -0.604 5.604 13 C 0.118 3.882 14 C -0.116 4.116 15 C 0.131 3.869 16 O -0.561 6.561 17 C 0.128 3.872 18 N -0.729 5.729 19 C -0.242 4.242 20 H 0.070 0.930 21 C -0.011 4.011 22 N -0.934 5.934 23 Si 0.909 3.091 24 H -0.286 1.286 25 H -0.290 1.290 26 H -0.286 1.286 27 C -0.158 4.158 28 C 0.109 3.891 29 C -0.112 4.112 30 H 0.039 0.961 31 H 0.041 0.959 32 H 0.085 0.915 33 H 0.067 0.933 34 H 0.060 0.940 35 H 0.060 0.940 36 H 0.098 0.902 37 H 0.068 0.932 38 H 0.069 0.931 39 H 0.087 0.913 40 H 0.074 0.926 41 H 0.076 0.924 42 H 0.081 0.919 43 H 0.383 0.617 44 H 0.028 0.972 45 H 0.025 0.975 46 H 0.380 0.620 47 H 0.257 0.743 48 H 0.092 0.908 49 H 0.073 0.927 50 H 0.084 0.916 51 H 0.076 0.924 52 H 0.081 0.919 53 H 0.083 0.917 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.592 -0.522 21.264 22.269 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 -0.065 4.065 2 O -0.304 6.304 3 C 0.032 3.968 4 H 0.078 0.922 5 C -0.176 4.176 6 C -0.171 4.171 7 C -0.136 4.136 8 C -0.128 4.128 9 H 0.120 0.880 10 C 0.308 3.692 11 O -0.421 6.421 12 N -0.337 5.337 13 C -0.004 4.004 14 C -0.155 4.155 15 C 0.089 3.911 16 O -0.368 6.368 17 C 0.001 3.999 18 N -0.375 5.375 19 C -0.373 4.373 20 H 0.088 0.912 21 C -0.207 4.207 22 N -0.583 5.583 23 Si 0.740 3.260 24 H -0.213 1.213 25 H -0.216 1.216 26 H -0.212 1.212 27 C -0.196 4.196 28 C -0.014 4.014 29 C -0.150 4.150 30 H 0.058 0.942 31 H 0.060 0.940 32 H 0.103 0.897 33 H 0.086 0.914 34 H 0.078 0.922 35 H 0.079 0.921 36 H 0.116 0.884 37 H 0.087 0.913 38 H 0.088 0.912 39 H 0.105 0.895 40 H 0.092 0.908 41 H 0.095 0.905 42 H 0.099 0.901 43 H 0.232 0.768 44 H 0.046 0.954 45 H 0.043 0.957 46 H 0.215 0.785 47 H 0.067 0.933 48 H 0.110 0.890 49 H 0.092 0.908 50 H 0.102 0.898 51 H 0.094 0.906 52 H 0.099 0.901 53 H 0.102 0.898 Dipole moment (debyes) X Y Z Total from point charges -7.058 0.278 21.792 22.908 hybrid contribution 0.775 -0.311 -1.400 1.630 sum -6.283 -0.033 20.392 21.338 Atomic orbital electron populations 1.22769 0.81144 1.02603 0.99973 1.87879 1.19596 1.27828 1.95107 1.22131 0.94599 0.84337 0.95759 0.92248 1.22024 1.01223 0.97674 0.96635 1.21811 0.97663 0.96942 1.00671 1.21339 0.97989 1.01586 0.92638 1.21350 0.99270 0.94385 0.97819 0.87966 1.20588 0.81863 0.85199 0.81581 1.90571 1.52824 1.33466 1.65236 1.48151 1.41235 1.36033 1.08259 1.21507 0.90911 0.94482 0.93549 1.21837 1.01174 0.96936 0.95514 1.21276 0.86937 0.89524 0.93321 1.86369 1.36490 1.42485 1.71477 1.21316 0.95558 0.92583 0.90491 1.42270 1.67793 1.04334 1.23088 1.19154 1.28273 0.92850 0.96994 0.91216 1.24726 1.01558 0.95257 0.99176 1.69611 1.50710 0.98749 1.39186 0.86245 0.79431 0.76950 0.83421 1.21259 1.21630 1.21223 1.22562 0.98626 1.01642 0.96812 1.21868 0.96314 0.90302 0.92885 1.21690 0.95935 0.95193 1.02168 0.94234 0.93990 0.89655 0.91409 0.92175 0.92112 0.88430 0.91348 0.91187 0.89454 0.90789 0.90499 0.90069 0.76813 0.95386 0.95703 0.78538 0.93342 0.88990 0.90841 0.89792 0.90578 0.90068 0.89803 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 0.03 0.28 10.82 101.05 1.09 1.37 16 2 O -0.39 -4.31 10.35 -35.23 -0.36 -4.68 16 3 C 0.09 0.94 2.39 -26.73 -0.06 0.88 16 4 H 0.06 0.71 6.86 -51.93 -0.36 0.35 16 5 C -0.14 -1.32 5.54 -26.73 -0.15 -1.46 16 6 C -0.13 -1.32 5.63 -26.73 -0.15 -1.47 16 7 C -0.10 -0.91 5.12 -26.73 -0.14 -1.05 16 8 C -0.11 -1.05 2.16 -91.75 -0.20 -1.25 16 9 H 0.10 0.88 7.20 -51.93 -0.37 0.51 16 10 C 0.52 6.46 5.56 -10.99 -0.06 6.39 16 11 O -0.54 -8.04 12.92 5.56 0.07 -7.97 16 12 N -0.60 -7.41 2.97 -172.77 -0.51 -7.92 16 13 C 0.12 1.51 6.20 -3.71 -0.02 1.48 16 14 C -0.12 -1.56 5.11 -26.61 -0.14 -1.69 16 15 C 0.13 2.00 0.71 -90.58 -0.06 1.93 16 16 O -0.56 -8.97 11.70 -35.23 -0.41 -9.38 16 17 C 0.13 2.47 5.40 -4.04 -0.02 2.44 16 18 N -0.73 -17.10 5.07 -59.91 -0.30 -17.40 16 19 C -0.24 -6.50 9.99 -15.06 -0.15 -6.65 16 20 H 0.07 1.85 7.83 -52.49 -0.41 1.44 16 21 C -0.01 -0.31 5.50 -17.43 -0.10 -0.40 16 22 N -0.93 -26.83 13.06 55.49 0.72 -26.10 16 23 Si 0.91 21.84 29.55 -169.99 -5.02 16.82 16 24 H -0.29 -6.79 7.11 56.52 0.40 -6.39 16 25 H -0.29 -7.03 7.11 56.52 0.40 -6.63 16 26 H -0.29 -6.80 7.11 56.52 0.40 -6.40 16 27 C -0.16 -2.22 4.93 -26.61 -0.13 -2.35 16 28 C 0.11 1.27 4.66 -3.71 -0.02 1.25 16 29 C -0.11 -1.07 4.75 -26.71 -0.13 -1.20 16 30 H 0.04 0.31 7.87 -51.93 -0.41 -0.10 16 31 H 0.04 0.36 8.09 -51.93 -0.42 -0.06 16 32 H 0.08 0.61 8.14 -51.93 -0.42 0.19 16 33 H 0.07 0.62 8.14 -51.93 -0.42 0.20 16 34 H 0.06 0.56 7.87 -51.93 -0.41 0.15 16 35 H 0.06 0.54 8.14 -51.93 -0.42 0.11 16 36 H 0.10 1.20 5.34 -51.93 -0.28 0.92 16 37 H 0.07 0.53 8.14 -51.93 -0.42 0.11 16 38 H 0.07 0.69 8.14 -51.93 -0.42 0.27 16 39 H 0.09 1.14 7.00 -51.93 -0.36 0.77 16 40 H 0.07 0.97 7.81 -51.93 -0.41 0.57 16 41 H 0.08 1.01 8.14 -51.92 -0.42 0.59 16 42 H 0.08 1.06 8.14 -51.93 -0.42 0.64 16 43 H 0.38 6.16 7.85 45.56 0.36 6.52 16 44 H 0.03 0.57 8.14 -51.93 -0.42 0.15 16 45 H 0.03 0.49 8.14 -51.92 -0.42 0.07 16 46 H 0.38 9.02 5.58 -40.82 -0.23 8.79 16 47 H 0.26 7.21 8.31 -40.82 -0.34 6.87 16 48 H 0.09 1.45 6.83 -51.93 -0.35 1.10 16 49 H 0.07 1.04 8.14 -51.93 -0.42 0.62 16 50 H 0.08 0.82 5.00 -51.93 -0.26 0.56 16 51 H 0.08 0.91 7.79 -51.93 -0.40 0.50 16 52 H 0.08 0.80 5.79 -51.93 -0.30 0.50 16 53 H 0.08 0.73 8.14 -51.93 -0.42 0.31 16 LS Contribution 393.96 15.07 5.94 5.94 Total: -1.00 -30.55 393.96 -8.72 -39.26 By element: Atomic # 1 Polarization: 21.62 SS G_CDS: -8.40 Total: 13.22 kcal Atomic # 6 Polarization: -1.35 SS G_CDS: -0.43 Total: -1.78 kcal Atomic # 7 Polarization: -51.33 SS G_CDS: -0.09 Total: -51.43 kcal Atomic # 8 Polarization: -21.33 SS G_CDS: -0.71 Total: -22.03 kcal Atomic # 14 Polarization: 21.84 SS G_CDS: -5.02 Total: 16.82 kcal Total LS contribution 5.94 Total: 5.94 kcal Total: -30.55 -8.72 -39.26 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. ZINC001484959324.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 -89.280 kcal (2) G-P(sol) polarization free energy of solvation -30.548 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -119.828 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.715 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.264 kcal (6) G-S(sol) free energy of system = (1) + (5) -128.544 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds