Wall clock time and date at job start Sat Apr 11 2020 06:10:52 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 1.52998 * 1 3 3 C 1.52999 * 109.47336 * 2 1 4 4 C 1.53003 * 109.47168 * 239.99719 * 2 1 3 5 5 O 1.45207 * 109.46935 * 119.99937 * 2 1 3 6 6 C 1.34636 * 117.00067 * 59.99764 * 5 2 1 7 7 O 1.21511 * 120.00047 * 0.02562 * 6 5 2 8 8 N 1.34777 * 120.00234 * 179.97438 * 6 5 2 9 9 C 1.47022 * 125.64671 * 359.96682 * 8 6 5 10 10 C 1.54322 * 107.27080 * 181.08985 * 9 8 6 11 11 C 1.55150 * 102.94415 * 22.19049 * 10 9 8 12 12 C 1.53001 * 111.03702 * 82.58515 * 11 10 9 13 13 C 1.53000 * 111.00518 * 206.42371 * 11 10 9 14 14 N 1.46899 * 109.47137 * 173.64943 * 13 11 10 15 15 C 1.47954 * 111.00191 * 189.99979 * 14 13 11 16 16 C 1.53938 * 86.18382 * 222.41607 * 15 14 13 17 17 O 1.42898 * 113.73164 * 269.25701 * 16 15 14 18 18 C 1.50694 * 113.73156 * 138.07587 * 16 15 14 19 19 H 1.07996 * 120.00374 * 5.38335 * 18 16 15 20 20 C 1.37880 * 119.99694 * 185.38180 * 18 16 15 21 21 N 1.31510 * 120.00210 * 5.20852 * 20 18 16 22 22 Si 1.86803 * 119.99769 * 185.21202 * 20 18 16 23 23 H 1.48498 * 109.47205 * 84.99729 * 22 20 18 24 24 H 1.48502 * 109.47101 * 324.99619 * 22 20 18 25 25 H 1.48506 * 109.46999 * 204.99814 * 22 20 18 26 26 C 1.47959 * 111.00120 * 90.64024 * 14 13 11 27 27 C 1.47416 * 125.65044 * 179.97438 * 8 6 5 28 28 H 1.08999 * 109.46814 * 300.00171 * 1 2 3 29 29 H 1.09001 * 109.46945 * 59.99762 * 1 2 3 30 30 H 1.08994 * 109.47444 * 180.02562 * 1 2 3 31 31 H 1.09001 * 109.47016 * 179.97438 * 3 2 1 32 32 H 1.08996 * 109.46890 * 299.99433 * 3 2 1 33 33 H 1.08999 * 109.47309 * 60.00132 * 3 2 1 34 34 H 1.09001 * 109.46700 * 300.00579 * 4 2 1 35 35 H 1.09001 * 109.46706 * 59.99853 * 4 2 1 36 36 H 1.09001 * 109.47242 * 180.02562 * 4 2 1 37 37 H 1.09002 * 109.87844 * 300.50793 * 9 8 6 38 38 H 1.09002 * 109.88668 * 61.67013 * 9 8 6 39 39 H 1.09000 * 110.71702 * 263.82313 * 10 9 8 40 40 H 1.09002 * 110.71699 * 140.55358 * 10 9 8 41 41 H 1.08999 * 109.47308 * 183.90691 * 12 11 10 42 42 H 1.08995 * 109.47413 * 303.90389 * 12 11 10 43 43 H 1.08997 * 109.47103 * 63.90937 * 12 11 10 44 44 H 1.09004 * 109.47118 * 53.65146 * 13 11 10 45 45 H 1.08994 * 109.46948 * 293.64673 * 13 11 10 46 46 H 1.09006 * 113.75835 * 108.09843 * 15 14 13 47 47 H 1.09005 * 113.86012 * 336.75044 * 15 14 13 48 48 H 0.96701 * 113.99850 * 173.02414 * 17 16 15 49 49 H 0.97001 * 120.00308 * 180.02562 * 21 20 18 50 50 H 1.09001 * 113.75799 * 23.26633 * 26 14 13 51 51 H 1.09005 * 113.76119 * 251.89795 * 26 14 13 52 52 H 1.09007 * 110.37025 * 37.00226 * 27 8 6 53 53 H 1.09002 * 110.37057 * 274.68077 * 27 8 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 1.5300 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 2.0400 -0.7213 -1.2492 5 8 2.0140 -0.6845 1.1856 6 6 1.6521 -1.9723 1.3384 7 8 0.9515 -2.5097 0.5037 8 7 2.0679 -2.6657 2.4168 9 6 2.9163 -2.1421 3.4973 10 6 3.1531 -3.2962 4.4940 11 6 2.8934 -4.5593 3.6313 12 6 4.1337 -4.9326 2.8168 13 6 2.4381 -5.7331 4.5006 14 7 2.0569 -6.8609 3.6400 15 6 1.3894 -7.9238 4.4234 16 6 2.2351 -8.9158 3.6045 17 8 1.5957 -9.3661 2.4085 18 6 2.8100 -10.0427 4.4233 19 1 2.5417 -10.1454 5.4644 20 6 3.6785 -10.9429 3.8433 21 7 4.0855 -10.7603 2.6061 22 14 4.2770 -12.4219 4.8147 23 1 3.2863 -13.5223 4.7018 24 1 4.4374 -12.0447 6.2421 25 1 5.5834 -12.8745 4.2726 26 6 3.2135 -7.7478 3.3849 27 6 1.7474 -4.0748 2.7081 28 1 -0.3633 0.5139 0.8900 29 1 -0.3633 0.5139 -0.8900 30 1 -0.3634 -1.0276 0.0005 31 1 3.1300 1.4424 0.0005 32 1 1.6768 1.9562 -0.8900 33 1 1.6768 1.9563 0.8900 34 1 1.6765 -1.7490 -1.2492 35 1 1.6766 -0.2075 -2.1392 36 1 3.1300 -0.7217 -1.2490 37 1 3.8687 -1.8031 3.0895 38 1 2.4107 -1.3169 3.9989 39 1 2.4458 -3.2422 5.3216 40 1 4.1794 -3.2842 4.8611 41 1 3.9024 -5.7788 2.1699 42 1 4.4377 -4.0818 2.2072 43 1 4.9445 -5.2033 3.4931 44 1 1.5811 -5.4291 5.1018 45 1 3.2533 -6.0366 5.1573 46 1 0.3184 -8.0007 4.2359 47 1 1.6352 -7.9093 5.4853 48 1 2.1620 -9.9040 1.8384 49 1 4.6962 -11.3938 2.1979 50 1 3.9941 -7.6804 4.1427 51 1 3.5999 -7.6841 2.3677 52 1 1.7297 -4.6581 1.7874 53 1 0.7892 -4.1475 3.2225 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 ZINC000192640833.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 06:10:52 Heat of formation + Delta-G solvation = -94.002728 kcal Electronic energy + Delta-G solvation = -31554.553317 eV Core-core repulsion = 27427.514794 eV Total energy + Delta-G solvation = -4127.038523 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.61 seconds Orbital eigenvalues (eV) -40.87882 -39.66416 -38.44076 -36.63856 -34.62082 -34.07159 -32.68316 -32.12908 -29.78608 -28.09430 -27.60974 -27.53261 -26.96510 -25.74626 -24.90128 -23.72335 -21.86240 -21.62786 -19.42736 -19.02633 -18.59996 -17.71326 -17.12130 -16.66623 -16.44905 -15.45858 -15.24448 -15.05080 -15.02885 -14.62606 -14.28087 -14.09066 -13.93764 -13.64541 -13.48194 -13.19942 -12.75327 -12.69515 -12.43061 -12.39140 -12.14939 -12.07034 -12.05880 -12.01018 -11.88548 -11.72702 -11.53478 -11.47795 -11.39348 -11.31368 -11.03013 -10.80777 -10.55675 -10.49268 -10.46283 -10.43987 -10.11305 -10.01376 -9.97764 -9.20848 -8.67086 -8.65914 -8.22799 -7.76215 -6.24395 -4.33228 2.08682 2.87724 3.20581 3.27844 3.29711 3.83870 4.26392 4.43317 4.51896 4.54556 4.57364 4.72186 4.78718 4.96298 5.04185 5.17941 5.24816 5.25874 5.33650 5.35586 5.43651 5.48469 5.55075 5.57420 5.67947 5.68641 5.75417 5.77669 5.86395 5.92826 5.95104 6.00956 6.08877 6.09467 6.13268 6.14302 6.22181 6.28890 6.33485 6.36558 6.45176 6.46740 6.55660 6.71607 7.08912 7.19917 7.35339 7.52451 7.75215 7.98393 8.04860 8.36863 8.67976 9.36448 9.50757 10.81708 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.023398 B = 0.002357 C = 0.002289 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1196.396317 B =11876.565702 C =12231.525041 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.183 4.183 2 C 0.135 3.865 3 C -0.139 4.139 4 C -0.184 4.184 5 O -0.365 6.365 6 C 0.665 3.335 7 O -0.565 6.565 8 N -0.603 5.603 9 C 0.109 3.891 10 C -0.126 4.126 11 C -0.059 4.059 12 C -0.136 4.136 13 C 0.035 3.965 14 N -0.478 5.478 15 C 0.010 3.990 16 C 0.242 3.758 17 O -0.569 6.569 18 C -0.539 4.539 19 H 0.063 0.937 20 C 0.073 3.927 21 N -0.893 5.893 22 Si 0.898 3.102 23 H -0.277 1.277 24 H -0.274 1.274 25 H -0.286 1.286 26 C -0.004 4.004 27 C 0.148 3.852 28 H 0.058 0.942 29 H 0.069 0.931 30 H 0.089 0.911 31 H 0.065 0.935 32 H 0.079 0.921 33 H 0.065 0.935 34 H 0.089 0.911 35 H 0.068 0.932 36 H 0.058 0.942 37 H 0.067 0.933 38 H 0.066 0.934 39 H 0.078 0.922 40 H 0.083 0.917 41 H 0.075 0.925 42 H 0.047 0.953 43 H 0.055 0.945 44 H 0.065 0.935 45 H 0.046 0.954 46 H 0.074 0.926 47 H 0.064 0.936 48 H 0.383 0.617 49 H 0.268 0.732 50 H 0.059 0.941 51 H 0.073 0.927 52 H 0.089 0.911 53 H 0.070 0.930 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -0.561 21.962 -0.616 21.978 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 -0.240 4.240 2 C 0.099 3.901 3 C -0.196 4.196 4 C -0.241 4.241 5 O -0.280 6.280 6 C 0.420 3.580 7 O -0.455 6.455 8 N -0.345 5.345 9 C -0.014 4.014 10 C -0.164 4.164 11 C -0.061 4.061 12 C -0.194 4.194 13 C -0.094 4.094 14 N -0.201 5.201 15 C -0.118 4.118 16 C 0.201 3.799 17 O -0.377 6.377 18 C -0.578 4.578 19 H 0.081 0.919 20 C -0.130 4.130 21 N -0.532 5.532 22 Si 0.726 3.274 23 H -0.203 1.203 24 H -0.199 1.199 25 H -0.211 1.211 26 C -0.132 4.132 27 C 0.028 3.972 28 H 0.077 0.923 29 H 0.087 0.913 30 H 0.107 0.893 31 H 0.084 0.916 32 H 0.098 0.902 33 H 0.084 0.916 34 H 0.108 0.892 35 H 0.087 0.913 36 H 0.078 0.922 37 H 0.085 0.915 38 H 0.084 0.916 39 H 0.096 0.904 40 H 0.102 0.898 41 H 0.093 0.907 42 H 0.066 0.934 43 H 0.074 0.926 44 H 0.084 0.916 45 H 0.064 0.936 46 H 0.092 0.908 47 H 0.082 0.918 48 H 0.234 0.766 49 H 0.078 0.922 50 H 0.077 0.923 51 H 0.091 0.909 52 H 0.108 0.892 53 H 0.088 0.912 Dipole moment (debyes) X Y Z Total from point charges -1.542 22.499 -1.436 22.598 hybrid contribution 1.391 -1.244 1.017 2.125 sum -0.151 21.255 -0.420 21.260 Atomic orbital electron populations 1.22512 0.94072 1.05194 1.02244 1.22038 0.94346 0.91419 0.82345 1.21843 1.02177 0.92659 1.02948 1.22519 1.01512 1.03708 0.96347 1.86294 1.71671 1.23801 1.46218 1.17501 0.78987 0.80259 0.81255 1.90915 1.41430 1.70350 1.42756 1.47271 1.52884 1.13340 1.20956 1.21974 0.94571 0.96876 0.87968 1.22785 1.02860 0.93492 0.97286 1.21657 0.95506 0.93764 0.95145 1.21819 0.95789 1.01847 0.99899 1.22570 0.99392 0.92989 0.94492 1.68498 1.16361 1.03374 1.31847 1.24071 0.99927 0.91727 0.96106 1.19779 0.87094 0.89579 0.83482 1.86081 1.43823 1.72971 1.34834 1.21590 1.26871 1.12047 0.97259 0.91869 1.25036 0.95010 0.97806 0.95164 1.69659 1.33604 1.36676 1.13276 0.86512 0.78022 0.82756 0.80126 1.20300 1.19891 1.21125 1.24700 0.93544 0.94442 1.00559 1.22218 0.97316 0.77272 1.00435 0.92330 0.91254 0.89252 0.91554 0.90234 0.91604 0.89207 0.91259 0.92243 0.91469 0.91562 0.90377 0.89801 0.90651 0.93399 0.92606 0.91642 0.93552 0.90775 0.91784 0.76628 0.92159 0.92277 0.90870 0.89216 0.91208 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 -0.18 -1.90 8.37 37.16 0.31 -1.59 16 2 C 0.14 1.44 1.13 -90.62 -0.10 1.34 16 3 C -0.14 -1.04 8.85 37.16 0.33 -0.71 16 4 C -0.18 -1.97 8.37 37.16 0.31 -1.66 16 5 O -0.36 -4.75 9.49 -40.31 -0.38 -5.13 16 6 C 0.66 10.03 7.93 54.06 0.43 10.45 16 7 O -0.57 -9.86 12.14 -19.28 -0.23 -10.10 16 8 N -0.60 -8.33 3.31 -176.29 -0.58 -8.91 16 9 C 0.11 1.17 6.53 -3.07 -0.02 1.15 16 10 C -0.13 -1.28 5.92 -24.90 -0.15 -1.43 16 11 C -0.06 -0.80 0.73 -152.35 -0.11 -0.91 16 12 C -0.14 -1.94 7.83 37.16 0.29 -1.65 16 13 C 0.04 0.54 3.96 -3.82 -0.02 0.52 16 14 N -0.48 -9.21 5.71 -238.23 -1.36 -10.57 16 15 C 0.01 0.21 7.33 -2.77 -0.02 0.19 16 16 C 0.24 5.91 1.29 -90.84 -0.12 5.79 16 17 O -0.57 -14.95 13.46 -35.23 -0.47 -15.42 16 18 C -0.54 -14.08 8.59 -34.44 -0.30 -14.38 16 19 H 0.06 1.63 7.82 -52.49 -0.41 1.22 16 20 C 0.07 1.89 5.36 -17.82 -0.10 1.79 16 21 N -0.89 -23.58 11.61 55.43 0.64 -22.94 16 22 Si 0.90 20.22 29.54 -169.99 -5.02 15.20 16 23 H -0.28 -6.27 7.11 56.52 0.40 -5.87 16 24 H -0.27 -6.10 7.11 56.52 0.40 -5.70 16 25 H -0.29 -6.39 7.11 56.52 0.40 -5.99 16 26 C 0.00 -0.08 5.63 -2.77 -0.02 -0.09 16 27 C 0.15 2.20 5.55 -2.52 -0.01 2.18 16 28 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 29 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 30 H 0.09 1.18 5.88 -51.93 -0.31 0.88 16 31 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 32 H 0.08 0.45 8.14 -51.93 -0.42 0.03 16 33 H 0.06 0.47 8.14 -51.93 -0.42 0.04 16 34 H 0.09 1.23 5.88 -51.93 -0.31 0.92 16 35 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 36 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 37 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 38 H 0.07 0.63 8.14 -51.93 -0.42 0.21 16 39 H 0.08 0.72 8.01 -51.93 -0.42 0.31 16 40 H 0.08 0.75 8.05 -51.93 -0.42 0.33 16 41 H 0.07 1.27 5.82 -51.93 -0.30 0.97 16 42 H 0.05 0.64 7.85 -51.93 -0.41 0.24 16 43 H 0.05 0.75 8.14 -51.93 -0.42 0.33 16 44 H 0.07 0.92 8.05 -51.93 -0.42 0.50 16 45 H 0.05 0.72 7.38 -51.93 -0.38 0.33 16 46 H 0.07 1.55 8.14 -51.93 -0.42 1.12 16 47 H 0.06 1.25 7.88 -51.93 -0.41 0.84 16 48 H 0.38 10.17 7.15 45.56 0.33 10.50 16 49 H 0.27 6.78 8.31 -40.82 -0.34 6.44 16 50 H 0.06 1.30 7.43 -51.93 -0.39 0.91 16 51 H 0.07 1.69 7.10 -51.93 -0.37 1.33 16 52 H 0.09 1.58 7.95 -51.92 -0.41 1.17 16 53 H 0.07 1.05 8.04 -51.93 -0.42 0.63 16 LS Contribution 408.10 15.07 6.15 6.15 Total: -1.00 -28.69 408.10 -9.36 -38.06 By element: Atomic # 1 Polarization: 21.50 SS G_CDS: -8.82 Total: 12.68 kcal Atomic # 6 Polarization: 0.27 SS G_CDS: 0.72 Total: 0.99 kcal Atomic # 7 Polarization: -41.12 SS G_CDS: -1.30 Total: -42.42 kcal Atomic # 8 Polarization: -29.56 SS G_CDS: -1.09 Total: -30.65 kcal Atomic # 14 Polarization: 20.22 SS G_CDS: -5.02 Total: 15.20 kcal Total LS contribution 6.15 Total: 6.15 kcal Total: -28.69 -9.36 -38.06 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. ZINC000192640833.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 -55.943 kcal (2) G-P(sol) polarization free energy of solvation -28.694 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -84.638 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.365 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.059 kcal (6) G-S(sol) free energy of system = (1) + (5) -94.003 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.61 seconds