Wall clock time and date at job start Sat Apr 11 2020 06:11:46 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 1.42905 * 1 3 3 C 1.42897 * 114.00221 * 2 1 4 4 C 1.52998 * 109.47233 * 180.02562 * 3 2 1 5 5 O 1.42890 * 109.47275 * 65.00097 * 4 3 2 6 6 C 1.42904 * 114.00017 * 184.97555 * 5 4 3 7 7 N 1.46895 * 109.47003 * 283.09834 * 6 5 4 8 8 C 1.48044 * 110.99904 * 204.11038 * 7 6 5 9 9 C 1.53506 * 86.04651 * 137.29051 * 8 7 6 10 10 C 1.48051 * 111.00227 * 303.55205 * 7 6 5 11 11 C 1.52680 * 113.56611 * 90.91231 * 9 8 7 12 12 C 1.53336 * 109.10977 * 73.78290 * 11 9 8 13 13 N 1.46875 * 108.76410 * 52.41331 * 12 11 9 14 14 C 1.34779 * 120.46938 * 124.45133 * 13 12 11 15 15 O 1.21287 * 119.99678 * 359.97438 * 14 13 12 16 16 C 1.50703 * 120.00232 * 179.97438 * 14 13 12 17 17 C 1.52995 * 109.46904 * 179.97438 * 16 14 13 18 18 C 1.50697 * 109.47129 * 179.97438 * 17 16 14 19 19 H 1.08007 * 120.00035 * 0.02562 * 18 17 16 20 20 C 1.37872 * 120.00450 * 179.97438 * 18 17 16 21 21 N 1.31523 * 119.99694 * 0.02562 * 20 18 17 22 22 Si 1.86799 * 120.00268 * 180.02562 * 20 18 17 23 23 H 1.48499 * 109.47195 * 359.97438 * 22 20 18 24 24 H 1.48494 * 109.47501 * 120.00111 * 22 20 18 25 25 H 1.48513 * 109.46936 * 239.99966 * 22 20 18 26 26 C 1.46889 * 119.06658 * 304.72185 * 13 12 11 27 27 C 1.52677 * 113.56031 * 222.10376 * 9 8 7 28 28 H 1.09005 * 109.46966 * 60.00074 * 1 2 3 29 29 H 1.09001 * 109.47016 * 179.97438 * 1 2 3 30 30 H 1.08997 * 109.46874 * 299.99943 * 1 2 3 31 31 H 1.09003 * 109.46857 * 59.99675 * 3 2 1 32 32 H 1.09003 * 109.47241 * 300.00427 * 3 2 1 33 33 H 1.08999 * 109.46857 * 304.99616 * 4 3 2 34 34 H 1.09000 * 109.46697 * 185.00210 * 4 3 2 35 35 H 1.09000 * 109.47060 * 163.09574 * 6 5 4 36 36 H 1.08997 * 109.46777 * 43.10323 * 6 5 4 37 37 H 1.09000 * 113.78099 * 23.00792 * 8 7 6 38 38 H 1.08998 * 113.88521 * 251.58513 * 8 7 6 39 39 H 1.08997 * 113.77775 * 108.41941 * 10 7 6 40 40 H 1.09004 * 113.77721 * 336.98794 * 10 7 6 41 41 H 1.09000 * 109.53131 * 313.89279 * 11 9 8 42 42 H 1.09004 * 109.59058 * 193.70787 * 11 9 8 43 43 H 1.08995 * 109.58565 * 292.62490 * 12 11 9 44 44 H 1.09005 * 109.58369 * 172.19677 * 12 11 9 45 45 H 1.08998 * 109.46731 * 299.99960 * 16 14 13 46 46 H 1.08997 * 109.46643 * 60.00062 * 16 14 13 47 47 H 1.08998 * 109.47665 * 300.00109 * 17 16 14 48 48 H 1.09006 * 109.47384 * 60.00384 * 17 16 14 49 49 H 0.97005 * 119.99288 * 179.97438 * 21 20 18 50 50 H 1.08997 * 109.58888 * 175.06206 * 26 13 12 51 51 H 1.09000 * 109.59060 * 295.49794 * 26 13 12 52 52 H 1.08999 * 109.53115 * 46.11467 * 27 9 8 53 53 H 1.09001 * 109.52886 * 166.32778 * 27 9 8 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 1.4291 0.0000 0.0000 3 6 2.0103 1.3054 0.0000 4 6 3.5355 1.1846 -0.0006 5 8 3.9649 0.5796 -1.2219 6 6 5.3685 0.3170 -1.2784 7 7 6.0906 1.5687 -1.5421 8 6 7.4064 1.3009 -2.1654 9 6 7.0857 2.4781 -3.0969 10 6 5.6070 2.2083 -2.7866 11 6 7.5845 3.8232 -2.5747 12 6 9.1081 3.8900 -2.7345 13 7 9.4517 3.5685 -4.1258 14 6 10.1842 4.4256 -4.8644 15 8 10.5640 5.4711 -4.3810 16 6 10.5313 4.0848 -6.2908 17 6 11.3616 5.2173 -6.8981 18 6 11.7092 4.8763 -8.3242 19 1 11.3713 3.9451 -8.7546 20 6 12.4577 5.7534 -9.0800 21 7 12.8687 6.8876 -8.5562 22 14 12.8879 5.3310 -10.8480 23 1 12.3110 4.0075 -11.1952 24 1 12.3311 6.3673 -11.7542 25 1 14.3644 5.2822 -11.0000 26 6 8.9809 2.3025 -4.7029 27 6 7.4612 2.2227 -4.5546 28 1 -0.3633 0.5138 -0.8900 29 1 -0.3633 -1.0277 -0.0005 30 1 -0.3633 0.5138 0.8900 31 1 1.6886 1.8463 0.8900 32 1 1.6887 1.8464 -0.8900 33 1 3.8515 0.5682 0.8410 34 1 3.9785 2.1764 0.0890 35 1 5.5729 -0.3957 -2.0774 36 1 5.6987 -0.0996 -0.3268 37 1 7.4635 0.3394 -2.6758 38 1 8.2534 1.4822 -1.5037 39 1 5.0213 3.1119 -2.6175 40 1 5.1316 1.5152 -3.4808 41 1 7.3238 3.9246 -1.5212 42 1 7.1227 4.6302 -3.1437 43 1 9.5775 3.1685 -2.0659 44 1 9.4569 4.8945 -2.4946 45 1 11.1067 3.1594 -6.3135 46 1 9.6149 3.9572 -6.8670 47 1 10.7859 6.1426 -6.8753 48 1 12.2780 5.3454 -6.3218 49 1 13.3957 7.5046 -9.0879 50 1 9.2460 2.2614 -5.7593 51 1 9.4412 1.4669 -4.1757 52 1 7.1163 1.2324 -4.8517 53 1 6.9954 2.9773 -5.1884 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 ZINC001271252896.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 06:11:46 Heat of formation + Delta-G solvation = -95.396792 kcal Electronic energy + Delta-G solvation = -29944.969691 eV Core-core repulsion = 25817.870717 eV Total energy + Delta-G solvation = -4127.098974 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -41.24782 -39.34234 -38.62281 -37.46211 -35.90492 -33.51252 -32.21662 -31.57784 -30.71854 -30.42107 -27.64752 -26.73054 -26.35342 -25.73492 -24.05838 -23.37477 -23.01931 -21.85661 -21.13274 -19.19296 -18.01176 -17.39416 -17.24670 -16.87673 -16.49232 -16.25728 -15.86025 -15.79027 -15.50896 -15.39082 -15.11228 -14.47904 -14.41608 -14.31039 -14.19286 -13.76975 -13.42378 -13.30511 -12.92841 -12.81590 -12.48832 -12.34617 -12.25575 -12.09742 -12.05262 -11.93740 -11.56771 -11.48419 -11.29873 -11.14594 -10.94134 -10.81071 -10.65545 -10.61716 -10.52984 -10.15313 -10.02917 -9.94693 -9.58659 -9.14839 -9.10023 -8.94099 -8.37574 -8.29032 -5.94951 -3.99200 3.20576 3.24633 3.32820 3.33102 3.33354 3.40559 3.43700 3.57263 4.11603 4.34920 4.47996 4.56940 4.67854 4.71060 4.77947 4.84393 4.87844 4.90965 4.92278 5.01483 5.02945 5.11994 5.16668 5.17941 5.23728 5.26658 5.27984 5.31684 5.40097 5.42785 5.47590 5.51124 5.65732 5.72007 5.77050 5.80330 5.89399 6.01591 6.07717 6.17320 6.23587 6.24039 6.61444 6.67041 6.79160 6.83972 6.94037 7.76076 7.79536 7.88239 8.08822 8.40091 8.78480 9.09589 9.64321 11.16032 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.026567 B = 0.001698 C = 0.001657 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1053.673563 B =16485.746053 C =16899.010747 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.031 3.969 2 O -0.386 6.386 3 C 0.061 3.939 4 C 0.068 3.932 5 O -0.375 6.375 6 C 0.192 3.808 7 N -0.507 5.507 8 C 0.017 3.983 9 C -0.081 4.081 10 C 0.024 3.976 11 C -0.103 4.103 12 C 0.112 3.888 13 N -0.624 5.624 14 C 0.512 3.488 15 O -0.535 6.535 16 C -0.128 4.128 17 C 0.036 3.964 18 C -0.526 4.526 19 H 0.056 0.944 20 C 0.058 3.942 21 N -0.889 5.889 22 Si 0.892 3.108 23 H -0.273 1.273 24 H -0.284 1.284 25 H -0.284 1.284 26 C 0.111 3.889 27 C -0.124 4.124 28 H 0.042 0.958 29 H 0.086 0.914 30 H 0.040 0.960 31 H 0.064 0.936 32 H 0.058 0.942 33 H 0.056 0.944 34 H 0.073 0.927 35 H 0.073 0.927 36 H 0.069 0.931 37 H 0.072 0.928 38 H 0.091 0.909 39 H 0.085 0.915 40 H 0.073 0.927 41 H 0.081 0.919 42 H 0.069 0.931 43 H 0.060 0.940 44 H 0.092 0.908 45 H 0.078 0.922 46 H 0.078 0.922 47 H 0.023 0.977 48 H 0.023 0.977 49 H 0.260 0.740 50 H 0.093 0.907 51 H 0.063 0.937 52 H 0.073 0.927 53 H 0.074 0.926 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -22.169 -15.878 18.744 33.090 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 -0.066 4.066 2 O -0.305 6.305 3 C -0.015 4.015 4 C -0.008 4.008 5 O -0.291 6.291 6 C 0.026 3.974 7 N -0.236 5.236 8 C -0.111 4.111 9 C -0.082 4.082 10 C -0.104 4.104 11 C -0.141 4.141 12 C -0.011 4.011 13 N -0.360 5.360 14 C 0.303 3.697 15 O -0.410 6.410 16 C -0.168 4.168 17 C -0.001 4.001 18 C -0.564 4.564 19 H 0.074 0.926 20 C -0.144 4.144 21 N -0.528 5.528 22 Si 0.720 3.280 23 H -0.198 1.198 24 H -0.210 1.210 25 H -0.210 1.210 26 C -0.012 4.012 27 C -0.162 4.162 28 H 0.060 0.940 29 H 0.104 0.896 30 H 0.058 0.942 31 H 0.082 0.918 32 H 0.076 0.924 33 H 0.074 0.926 34 H 0.091 0.909 35 H 0.090 0.910 36 H 0.087 0.913 37 H 0.090 0.910 38 H 0.110 0.890 39 H 0.104 0.896 40 H 0.092 0.908 41 H 0.099 0.901 42 H 0.088 0.912 43 H 0.078 0.922 44 H 0.110 0.890 45 H 0.097 0.903 46 H 0.097 0.903 47 H 0.041 0.959 48 H 0.042 0.958 49 H 0.070 0.930 50 H 0.111 0.889 51 H 0.081 0.919 52 H 0.092 0.908 53 H 0.092 0.908 Dipole moment (debyes) X Y Z Total from point charges -21.961 -15.048 19.463 32.978 hybrid contribution 0.072 -0.563 -1.408 1.518 sum -21.889 -15.611 18.055 32.385 Atomic orbital electron populations 1.22750 0.81050 1.02846 0.99934 1.87950 1.19635 1.27514 1.95394 1.22615 0.92644 0.85370 1.00915 1.22522 0.92700 0.98415 0.87173 1.87995 1.22138 1.81101 1.37829 1.23791 0.80457 0.91736 1.01376 1.68690 1.03951 1.20283 1.30718 1.23936 0.93101 0.97867 0.96230 1.21973 0.95444 0.95889 0.94917 1.23784 0.95960 0.99947 0.90751 1.21613 0.95788 0.95016 1.01733 1.21468 0.94174 1.02566 0.82882 1.48246 1.54545 1.20458 1.12717 1.21576 0.76256 0.82793 0.89100 1.90655 1.52638 1.24570 1.73170 1.21872 1.01907 1.03316 0.89723 1.18912 0.94784 0.91935 0.94501 1.21256 1.33474 1.04454 0.97214 0.92590 1.25025 0.95987 0.95046 0.98330 1.70017 1.36745 1.09513 1.36534 0.86546 0.78117 0.78331 0.85018 1.19763 1.21039 1.21035 1.21548 0.93476 0.85973 1.00205 1.21848 0.96634 1.02319 0.95420 0.93984 0.89595 0.94156 0.91819 0.92409 0.92574 0.90852 0.90957 0.91308 0.90973 0.89023 0.89614 0.90844 0.90087 0.91229 0.92179 0.88972 0.90349 0.90349 0.95853 0.95844 0.93033 0.88901 0.91857 0.90808 0.90768 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 0.17 11.01 101.05 1.11 1.29 16 2 O -0.39 -3.47 10.67 -40.09 -0.43 -3.90 16 3 C 0.06 0.43 6.32 37.16 0.23 0.67 16 4 C 0.07 0.53 6.21 37.16 0.23 0.76 16 5 O -0.38 -3.59 9.90 -40.09 -0.40 -3.99 16 6 C 0.19 1.53 5.97 60.06 0.36 1.89 16 7 N -0.51 -4.20 6.20 -246.00 -1.53 -5.73 16 8 C 0.02 0.13 6.76 -2.94 -0.02 0.11 16 9 C -0.08 -0.71 0.77 -154.39 -0.12 -0.83 16 10 C 0.02 0.20 6.59 -2.95 -0.02 0.18 16 11 C -0.10 -1.06 5.22 -26.72 -0.14 -1.20 16 12 C 0.11 1.41 6.30 -3.66 -0.02 1.39 16 13 N -0.62 -9.04 2.95 -172.93 -0.51 -9.55 16 14 C 0.51 10.04 7.69 -10.98 -0.08 9.96 16 15 O -0.53 -12.78 15.37 5.55 0.09 -12.69 16 16 C -0.13 -2.62 3.97 -27.88 -0.11 -2.74 16 17 C 0.04 0.98 4.26 -27.89 -0.12 0.86 16 18 C -0.53 -14.93 9.11 -34.44 -0.31 -15.24 16 19 H 0.06 1.50 7.74 -52.48 -0.41 1.09 16 20 C 0.06 1.68 5.46 -17.82 -0.10 1.58 16 21 N -0.89 -27.51 13.29 55.43 0.74 -26.77 16 22 Si 0.89 21.68 29.54 -169.99 -5.02 16.65 16 23 H -0.27 -6.40 7.11 56.52 0.40 -6.00 16 24 H -0.28 -6.85 7.11 56.52 0.40 -6.45 16 25 H -0.28 -6.85 7.11 56.52 0.40 -6.45 16 26 C 0.11 1.21 6.20 -3.89 -0.02 1.19 16 27 C -0.12 -1.11 5.24 -26.95 -0.14 -1.26 16 28 H 0.04 0.21 8.14 -51.93 -0.42 -0.21 16 29 H 0.09 0.40 8.14 -51.93 -0.42 -0.03 16 30 H 0.04 0.17 8.14 -51.93 -0.42 -0.25 16 31 H 0.06 0.32 8.14 -51.93 -0.42 -0.10 16 32 H 0.06 0.41 8.14 -51.93 -0.42 -0.02 16 33 H 0.06 0.41 8.01 -51.93 -0.42 0.00 16 34 H 0.07 0.53 8.13 -51.93 -0.42 0.11 16 35 H 0.07 0.53 7.53 -51.93 -0.39 0.14 16 36 H 0.07 0.50 7.91 -51.93 -0.41 0.09 16 37 H 0.07 0.48 7.49 -51.93 -0.39 0.09 16 38 H 0.09 0.72 7.40 -51.93 -0.38 0.33 16 39 H 0.09 0.77 8.09 -51.93 -0.42 0.35 16 40 H 0.07 0.62 7.87 -51.93 -0.41 0.21 16 41 H 0.08 0.78 8.01 -51.93 -0.42 0.36 16 42 H 0.07 0.80 8.14 -51.93 -0.42 0.38 16 43 H 0.06 0.66 7.49 -51.93 -0.39 0.28 16 44 H 0.09 1.37 6.98 -51.93 -0.36 1.01 16 45 H 0.08 1.46 7.91 -51.93 -0.41 1.05 16 46 H 0.08 1.46 7.71 -51.93 -0.40 1.06 16 47 H 0.02 0.69 8.10 -51.93 -0.42 0.27 16 48 H 0.02 0.69 8.10 -51.93 -0.42 0.27 16 49 H 0.26 7.53 8.31 -40.82 -0.34 7.19 16 50 H 0.09 1.04 5.89 -51.93 -0.31 0.73 16 51 H 0.06 0.59 8.07 -51.93 -0.42 0.17 16 52 H 0.07 0.54 8.12 -51.93 -0.42 0.12 16 53 H 0.07 0.75 8.14 -51.93 -0.42 0.33 16 LS Contribution 418.17 15.07 6.30 6.30 Total: -1.00 -35.17 418.17 -9.74 -44.91 By element: Atomic # 1 Polarization: 5.86 SS G_CDS: -9.71 Total: -3.85 kcal Atomic # 6 Polarization: -2.10 SS G_CDS: 0.73 Total: -1.38 kcal Atomic # 7 Polarization: -40.76 SS G_CDS: -1.30 Total: -42.05 kcal Atomic # 8 Polarization: -19.85 SS G_CDS: -0.74 Total: -20.59 kcal Atomic # 14 Polarization: 21.68 SS G_CDS: -5.02 Total: 16.65 kcal Total LS contribution 6.30 Total: 6.30 kcal Total: -35.17 -9.74 -44.91 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. ZINC001271252896.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 -50.485 kcal (2) G-P(sol) polarization free energy of solvation -35.171 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -85.656 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.740 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.911 kcal (6) G-S(sol) free energy of system = (1) + (5) -95.397 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds