Wall clock time and date at job start Sat Apr 11 2020 06:11:38 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 1.52993 * 1 3 3 H 1.09001 * 109.58886 * 2 1 4 4 C 1.53193 * 109.59067 * 239.71235 * 2 1 3 5 5 C 1.53042 * 109.30898 * 294.85099 * 4 2 1 6 6 H 1.08994 * 109.46447 * 58.63832 * 5 4 2 7 7 N 1.46498 * 109.45878 * 178.61403 * 5 4 2 8 8 C 1.36943 * 119.99727 * 204.99923 * 7 5 4 9 9 H 1.07998 * 120.00392 * 359.97438 * 8 7 5 10 10 C 1.38811 * 119.99586 * 179.97438 * 8 7 5 11 11 N 1.31618 * 120.00460 * 0.02562 * 10 8 7 12 12 Si 1.86798 * 119.99694 * 179.97438 * 10 8 7 13 13 H 1.48506 * 109.47297 * 179.97438 * 12 10 8 14 14 H 1.48503 * 109.47261 * 60.00129 * 12 10 8 15 15 H 1.48500 * 109.47454 * 300.00122 * 12 10 8 16 16 C 1.53046 * 109.53802 * 298.63130 * 5 4 2 17 17 C 1.53191 * 109.30965 * 61.36563 * 16 5 4 18 18 N 1.46926 * 109.58699 * 120.41911 * 2 1 3 19 19 C 1.34772 * 120.63595 * 246.15823 * 18 2 1 20 20 O 1.21288 * 119.99648 * 359.97438 * 19 18 2 21 21 C 1.50698 * 120.00140 * 179.97438 * 19 18 2 22 22 C 1.53003 * 109.47056 * 180.02562 * 21 19 18 23 23 O 1.42903 * 109.47139 * 180.02562 * 22 21 19 24 24 C 1.42900 * 114.00007 * 179.97438 * 23 22 21 25 25 C 1.53178 * 109.54313 * 269.82099 * 24 23 22 26 26 C 1.53110 * 109.15449 * 183.24031 * 25 24 23 27 27 O 1.42898 * 109.48800 * 57.47677 * 26 25 24 28 28 C 1.42908 * 114.09739 * 298.88658 * 27 26 25 29 29 C 1.53096 * 109.41373 * 61.15516 * 28 27 26 30 30 H 1.08993 * 109.47343 * 180.28833 * 1 2 3 31 31 H 1.09002 * 109.47176 * 300.29258 * 1 2 3 32 32 H 1.09009 * 109.46917 * 60.28628 * 1 2 3 33 33 H 1.09000 * 109.50171 * 174.89707 * 4 2 1 34 34 H 1.08997 * 109.49421 * 54.79659 * 4 2 1 35 35 H 0.96998 * 120.00095 * 24.99383 * 7 5 4 36 36 H 0.97001 * 119.99952 * 359.97438 * 11 10 8 37 37 H 1.08993 * 109.49844 * 181.32020 * 16 5 4 38 38 H 1.08998 * 109.49516 * 301.41935 * 16 5 4 39 39 H 1.09009 * 109.58444 * 185.57615 * 17 16 5 40 40 H 1.09000 * 109.70675 * 65.23015 * 17 16 5 41 41 H 1.08998 * 109.47212 * 299.99337 * 21 19 18 42 42 H 1.09000 * 109.47229 * 60.00290 * 21 19 18 43 43 H 1.08999 * 109.47119 * 300.00192 * 22 21 19 44 44 H 1.09004 * 109.47140 * 59.99615 * 22 21 19 45 45 H 1.09003 * 109.54292 * 30.00115 * 24 23 22 46 46 H 1.08998 * 109.52199 * 303.05865 * 25 24 23 47 47 H 1.09003 * 109.51854 * 63.24830 * 25 24 23 48 48 H 1.09005 * 109.40625 * 297.49201 * 26 25 24 49 49 H 1.08999 * 109.48894 * 177.50875 * 26 25 24 50 50 H 1.09006 * 109.47931 * 301.17783 * 28 27 26 51 51 H 1.09002 * 109.49138 * 181.14823 * 28 27 26 52 52 H 1.09002 * 109.52064 * 182.48483 * 29 28 27 53 53 H 1.09000 * 109.52175 * 62.30234 * 29 28 27 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 1 1.8954 1.0269 0.0000 4 6 2.0436 -0.7279 -1.2463 5 6 1.6414 -2.2027 -1.1727 6 1 0.5565 -2.2802 -1.1017 7 7 2.1023 -2.8950 -2.3787 8 6 1.4649 -4.0307 -2.8021 9 1 0.6227 -4.4162 -2.2467 10 6 1.9014 -4.6863 -3.9451 11 7 2.9281 -4.2168 -4.6217 12 14 1.0324 -6.2358 -4.5223 13 1 1.6860 -6.7393 -5.7571 14 1 -0.3921 -5.9276 -4.8073 15 1 1.1119 -7.2723 -3.4617 16 6 2.2800 -2.8465 0.0602 17 6 1.7691 -2.1425 1.3212 18 7 2.0225 -0.7009 1.1937 19 6 2.6943 -0.0343 2.1532 20 8 2.8979 1.1556 2.0357 21 6 3.1926 -0.7673 3.3719 22 6 3.9157 0.2138 4.2970 23 8 4.3887 -0.4814 5.4524 24 6 5.0832 0.3481 6.3861 25 6 6.5767 0.3629 6.0463 26 6 7.3231 1.1876 7.0984 27 8 7.0822 0.6369 8.3948 28 6 5.7074 0.6423 8.7847 29 6 4.8964 -0.2061 7.8017 30 1 -0.3634 -1.0276 0.0052 31 1 -0.3634 0.5184 0.8874 32 1 -0.3633 0.5094 -0.8926 33 1 3.1297 -0.6488 -1.2921 34 1 1.6075 -0.2759 -2.1371 35 1 2.8590 -2.5489 -2.8773 36 1 3.3796 -3.4124 -4.3218 37 1 2.0122 -3.9023 0.0992 38 1 3.3639 -2.7474 0.0021 39 1 2.2943 -2.5300 2.1943 40 1 0.6988 -2.3171 1.4316 41 1 2.3481 -1.2093 3.9006 42 1 3.8821 -1.5541 3.0661 43 1 4.7601 0.6563 3.7686 44 1 3.2259 1.0005 4.6028 45 1 4.6879 1.3627 6.3367 46 1 6.9602 -0.6574 6.0457 47 1 6.7219 0.8082 5.0621 48 1 6.9684 2.2180 7.0694 49 1 8.3922 1.1651 6.8868 50 1 5.3315 1.6655 8.7778 51 1 5.6123 0.2269 9.7880 52 1 3.8410 -0.1674 8.0718 53 1 5.2448 -1.2383 7.8377 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 ZINC001716770787.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 06:11:38 Heat of formation + Delta-G solvation = -129.341041 kcal Electronic energy + Delta-G solvation = -30287.892548 eV Core-core repulsion = 26159.321641 eV Total energy + Delta-G solvation = -4128.570907 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.92 seconds Orbital eigenvalues (eV) -40.44656 -39.95888 -38.11356 -37.49677 -34.81697 -33.52343 -32.68724 -31.97700 -31.59075 -30.81873 -29.14500 -27.28545 -25.23102 -24.27605 -24.02239 -23.59199 -23.11016 -21.71891 -20.86683 -20.21698 -18.35894 -17.77053 -17.31029 -16.98693 -16.59679 -16.33009 -16.07237 -15.75247 -15.28981 -15.09218 -14.78702 -14.47785 -14.32288 -14.18384 -13.76656 -13.66814 -13.56856 -13.41052 -13.20640 -12.89984 -12.83741 -12.61387 -12.21406 -11.98910 -11.89054 -11.79680 -11.75525 -11.44059 -11.31260 -11.16392 -10.95491 -10.86485 -10.80822 -10.59197 -10.47755 -10.14139 -10.03262 -9.92916 -9.81447 -9.77885 -9.19778 -8.94516 -8.58708 -7.08773 -6.13718 -3.14309 2.56639 2.75012 3.34158 3.47425 3.48627 3.51833 3.69542 4.28680 4.32467 4.47062 4.49819 4.60470 4.62703 4.73487 4.75835 4.78297 4.92571 4.96758 5.05153 5.09951 5.13206 5.18657 5.21221 5.22576 5.27844 5.36945 5.39509 5.50369 5.53341 5.56075 5.56292 5.58010 5.66741 5.69587 5.72056 5.78782 5.80371 5.96783 6.06531 6.18067 6.24969 6.34662 6.39339 6.52932 6.71313 6.78953 6.87542 6.93084 7.42361 7.75928 8.11567 8.71646 9.18304 10.04815 10.19845 11.34397 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018552 B = 0.001908 C = 0.001825 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1508.907970 B =14667.946210 C =15341.489241 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.160 4.160 2 C 0.142 3.858 3 H 0.095 0.905 4 C -0.135 4.135 5 C 0.184 3.816 6 H 0.053 0.947 7 N -0.736 5.736 8 C -0.331 4.331 9 H 0.064 0.936 10 C -0.045 4.045 11 N -0.943 5.943 12 Si 1.079 2.921 13 H -0.285 1.285 14 H -0.295 1.295 15 H -0.295 1.295 16 C -0.151 4.151 17 C 0.105 3.895 18 N -0.599 5.599 19 C 0.520 3.480 20 O -0.553 6.553 21 C -0.139 4.139 22 C 0.079 3.921 23 O -0.381 6.381 24 C 0.091 3.909 25 C -0.181 4.181 26 C 0.063 3.937 27 O -0.382 6.382 28 C 0.064 3.936 29 C -0.154 4.154 30 H 0.065 0.935 31 H 0.053 0.947 32 H 0.068 0.932 33 H 0.061 0.939 34 H 0.075 0.925 35 H 0.366 0.634 36 H 0.255 0.745 37 H 0.076 0.924 38 H 0.058 0.942 39 H 0.079 0.921 40 H 0.069 0.931 41 H 0.101 0.899 42 H 0.103 0.897 43 H 0.057 0.943 44 H 0.057 0.943 45 H 0.062 0.938 46 H 0.082 0.918 47 H 0.077 0.923 48 H 0.051 0.949 49 H 0.098 0.902 50 H 0.052 0.948 51 H 0.100 0.900 52 H 0.080 0.920 53 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.980 11.049 24.979 27.385 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 -0.218 4.218 2 C 0.038 3.962 3 H 0.114 0.886 4 C -0.174 4.174 5 C 0.074 3.926 6 H 0.070 0.930 7 N -0.377 5.377 8 C -0.462 4.462 9 H 0.082 0.918 10 C -0.243 4.243 11 N -0.588 5.588 12 Si 0.910 3.090 13 H -0.210 1.210 14 H -0.223 1.223 15 H -0.223 1.223 16 C -0.192 4.192 17 C -0.019 4.019 18 N -0.332 5.332 19 C 0.308 3.692 20 O -0.432 6.432 21 C -0.179 4.179 22 C 0.002 3.998 23 O -0.301 6.301 24 C 0.033 3.967 25 C -0.219 4.219 26 C -0.013 4.013 27 O -0.301 6.301 28 C -0.013 4.013 29 C -0.191 4.191 30 H 0.084 0.916 31 H 0.072 0.928 32 H 0.087 0.913 33 H 0.080 0.920 34 H 0.094 0.906 35 H 0.199 0.801 36 H 0.066 0.934 37 H 0.095 0.905 38 H 0.077 0.923 39 H 0.098 0.902 40 H 0.087 0.913 41 H 0.119 0.881 42 H 0.121 0.879 43 H 0.075 0.925 44 H 0.075 0.925 45 H 0.080 0.920 46 H 0.101 0.899 47 H 0.096 0.904 48 H 0.070 0.930 49 H 0.116 0.884 50 H 0.070 0.930 51 H 0.118 0.882 52 H 0.099 0.901 53 H 0.101 0.899 Dipole moment (debyes) X Y Z Total from point charges 1.987 10.102 23.954 26.073 hybrid contribution 0.012 1.424 0.711 1.592 sum 1.999 11.526 24.665 27.298 Atomic orbital electron populations 1.22137 0.94947 1.02796 1.01953 1.21170 0.94084 0.97059 0.83843 0.88650 1.22232 1.01205 0.97347 0.96579 1.20134 0.96898 0.88878 0.86710 0.92951 1.42449 1.37808 1.30110 1.27351 1.20012 1.12855 1.03186 1.10189 0.91774 1.25770 0.99433 1.04423 0.94657 1.70883 1.22149 1.24337 1.41420 0.83255 0.74704 0.74912 0.76146 1.21050 1.22276 1.22267 1.22655 1.01074 1.00657 0.94804 1.21895 1.01113 0.79112 0.99736 1.48232 1.54894 1.09684 1.20348 1.20315 0.77655 0.87254 0.83967 1.90677 1.58049 1.15367 1.79118 1.21499 1.02332 0.99800 0.94250 1.22172 0.97848 0.93815 0.85964 1.87865 1.74214 1.36235 1.31765 1.22055 0.91303 0.94172 0.89124 1.22754 0.96152 1.02875 1.00078 1.22568 1.00859 0.95710 0.82204 1.87950 1.25265 1.83318 1.33566 1.22589 0.81591 0.98977 0.98174 1.22304 1.01664 1.01809 0.93365 0.91639 0.92833 0.91316 0.92011 0.90638 0.80057 0.93375 0.90525 0.92332 0.90227 0.91278 0.88097 0.87905 0.92460 0.92485 0.91992 0.89935 0.90443 0.93047 0.88384 0.93001 0.88207 0.90100 0.89936 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -2.01 9.02 37.15 0.34 -1.68 16 2 C 0.14 2.01 3.20 -67.60 -0.22 1.79 16 3 H 0.10 1.43 7.01 -51.93 -0.36 1.07 16 4 C -0.13 -2.20 5.02 -26.61 -0.13 -2.33 16 5 C 0.18 3.45 2.52 -67.89 -0.17 3.28 16 6 H 0.05 1.01 6.44 -51.93 -0.33 0.67 16 7 N -0.74 -17.77 5.12 -53.38 -0.27 -18.05 16 8 C -0.33 -9.01 9.93 -15.06 -0.15 -9.16 16 9 H 0.06 1.71 7.83 -52.49 -0.41 1.30 16 10 C -0.05 -1.29 5.50 -17.43 -0.10 -1.38 16 11 N -0.94 -28.83 13.70 55.49 0.76 -28.07 16 12 Si 1.08 25.47 29.92 -169.99 -5.09 20.38 16 13 H -0.29 -6.88 7.11 56.52 0.40 -6.48 16 14 H -0.30 -6.66 7.11 56.52 0.40 -6.26 16 15 H -0.30 -6.64 7.11 56.52 0.40 -6.24 16 16 C -0.15 -2.47 5.66 -26.61 -0.15 -2.62 16 17 C 0.10 1.31 5.92 -3.71 -0.02 1.28 16 18 N -0.60 -8.06 2.68 -165.22 -0.44 -8.50 16 19 C 0.52 7.07 7.70 -10.99 -0.08 6.98 16 20 O -0.55 -9.13 15.40 5.55 0.09 -9.04 16 21 C -0.14 -1.46 4.42 -27.88 -0.12 -1.59 16 22 C 0.08 0.83 5.04 37.16 0.19 1.02 16 23 O -0.38 -3.97 10.00 -35.23 -0.35 -4.32 16 24 C 0.09 0.77 2.69 -26.55 -0.07 0.70 16 25 C -0.18 -1.43 5.77 -26.58 -0.15 -1.59 16 26 C 0.06 0.45 6.84 37.21 0.25 0.70 16 27 O -0.38 -3.29 10.77 -35.23 -0.38 -3.67 16 28 C 0.06 0.41 6.84 37.21 0.25 0.66 16 29 C -0.15 -1.10 5.79 -26.59 -0.15 -1.26 16 30 H 0.06 0.85 5.72 -51.93 -0.30 0.55 16 31 H 0.05 0.63 8.14 -51.93 -0.42 0.21 16 32 H 0.07 0.81 8.14 -51.92 -0.42 0.39 16 33 H 0.06 1.06 8.14 -51.93 -0.42 0.64 16 34 H 0.08 1.25 8.14 -51.93 -0.42 0.83 16 35 H 0.37 9.29 6.63 -40.82 -0.27 9.02 16 36 H 0.26 7.69 6.77 -40.82 -0.28 7.42 16 37 H 0.08 1.35 8.14 -51.93 -0.42 0.93 16 38 H 0.06 1.02 8.14 -51.93 -0.42 0.59 16 39 H 0.08 0.82 5.93 -51.92 -0.31 0.51 16 40 H 0.07 0.80 7.49 -51.93 -0.39 0.41 16 41 H 0.10 0.91 7.94 -51.93 -0.41 0.50 16 42 H 0.10 1.03 7.69 -51.93 -0.40 0.64 16 43 H 0.06 0.64 7.93 -51.93 -0.41 0.23 16 44 H 0.06 0.61 8.05 -51.93 -0.42 0.19 16 45 H 0.06 0.48 7.79 -51.93 -0.40 0.08 16 46 H 0.08 0.73 8.14 -51.93 -0.42 0.31 16 47 H 0.08 0.60 7.97 -51.93 -0.41 0.18 16 48 H 0.05 0.31 8.14 -51.93 -0.42 -0.11 16 49 H 0.10 0.58 8.14 -51.93 -0.42 0.15 16 50 H 0.05 0.28 8.14 -51.93 -0.42 -0.14 16 51 H 0.10 0.49 8.14 -51.93 -0.42 0.07 16 52 H 0.08 0.51 8.14 -51.93 -0.42 0.09 16 53 H 0.08 0.66 8.14 -51.93 -0.42 0.24 16 LS Contribution 407.82 15.07 6.15 6.15 Total: -1.00 -32.91 407.82 -9.44 -42.35 By element: Atomic # 1 Polarization: 17.37 SS G_CDS: -9.40 Total: 7.97 kcal Atomic # 6 Polarization: -4.70 SS G_CDS: -0.49 Total: -5.19 kcal Atomic # 7 Polarization: -54.66 SS G_CDS: 0.04 Total: -54.62 kcal Atomic # 8 Polarization: -16.39 SS G_CDS: -0.65 Total: -17.04 kcal Atomic # 14 Polarization: 25.47 SS G_CDS: -5.09 Total: 20.38 kcal Total LS contribution 6.15 Total: 6.15 kcal Total: -32.91 -9.44 -42.35 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. ZINC001716770787.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 -86.989 kcal (2) G-P(sol) polarization free energy of solvation -32.913 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -119.902 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.439 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.352 kcal (6) G-S(sol) free energy of system = (1) + (5) -129.341 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.93 seconds