Wall clock time and date at job start Sat Apr 11 2020 06:10:59 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 1.45205 * 1 3 3 C 1.34229 * 116.99608 * 2 1 4 4 O 1.20820 * 120.00468 * 0.02562 * 3 2 1 5 5 C 1.50705 * 119.99561 * 179.97438 * 3 2 1 6 6 C 1.52998 * 109.46981 * 179.97438 * 5 3 2 7 7 N 1.46499 * 109.47145 * 180.02562 * 6 5 3 8 8 C 1.36945 * 120.00332 * 265.89033 * 7 6 5 9 9 H 1.07993 * 120.00359 * 146.22157 * 8 7 6 10 10 C 1.38816 * 119.99542 * 326.21878 * 8 7 6 11 11 N 1.31618 * 120.00096 * 337.67896 * 10 8 7 12 12 Si 1.86795 * 119.99674 * 157.67444 * 10 8 7 13 13 H 1.48500 * 109.47131 * 90.00174 * 12 10 8 14 14 H 1.48503 * 109.47060 * 210.00115 * 12 10 8 15 15 H 1.48498 * 109.47172 * 329.99994 * 12 10 8 16 16 C 1.46496 * 120.00064 * 85.88626 * 7 6 5 17 17 H 1.09005 * 109.40236 * 359.82644 * 16 7 6 18 18 C 1.53070 * 109.40453 * 119.57500 * 16 7 6 19 19 C 1.53345 * 108.42959 * 169.03221 * 18 16 7 20 20 C 1.53103 * 108.52604 * 292.30767 * 19 18 16 21 21 N 1.45750 * 110.38524 * 51.11463 * 20 19 18 22 22 C 1.46508 * 117.94857 * 160.74413 * 21 20 19 23 23 C 1.52999 * 109.47073 * 269.73857 * 22 21 20 24 24 C 1.53007 * 109.47006 * 59.99523 * 23 22 21 25 25 C 1.52999 * 109.47299 * 299.99640 * 23 22 21 26 26 C 1.53002 * 109.47114 * 179.97438 * 23 22 21 27 27 C 1.33350 * 124.11101 * 340.46284 * 21 20 19 28 28 O 1.21281 * 118.25412 * 182.48041 * 27 21 20 29 29 H 1.08997 * 109.47113 * 180.02562 * 1 2 3 30 30 H 1.09000 * 109.46942 * 300.00255 * 1 2 3 31 31 H 1.09000 * 109.46969 * 60.00133 * 1 2 3 32 32 H 1.09007 * 109.46806 * 60.00731 * 5 3 2 33 33 H 1.08993 * 109.47480 * 300.00691 * 5 3 2 34 34 H 1.08999 * 109.47259 * 60.00757 * 6 5 3 35 35 H 1.09002 * 109.47568 * 300.00463 * 6 5 3 36 36 H 0.97000 * 120.00347 * 180.02562 * 11 10 8 37 37 H 1.09004 * 109.66897 * 288.76247 * 18 16 7 38 38 H 1.08997 * 109.67337 * 49.25631 * 18 16 7 39 39 H 1.08997 * 109.60309 * 52.22213 * 19 18 16 40 40 H 1.08996 * 109.60202 * 172.70990 * 19 18 16 41 41 H 1.08996 * 109.49718 * 290.74190 * 20 19 18 42 42 H 1.09006 * 109.20517 * 171.30161 * 20 19 18 43 43 H 1.08998 * 109.47009 * 149.73258 * 22 21 20 44 44 H 1.09003 * 109.46668 * 29.73514 * 22 21 20 45 45 H 1.09001 * 109.47343 * 299.99864 * 24 23 22 46 46 H 1.09000 * 109.47002 * 179.97438 * 24 23 22 47 47 H 1.08998 * 109.46964 * 60.00626 * 24 23 22 48 48 H 1.09000 * 109.47234 * 180.02562 * 25 23 22 49 49 H 1.08998 * 109.46895 * 300.00667 * 25 23 22 50 50 H 1.09000 * 109.47068 * 59.99538 * 25 23 22 51 51 H 1.08994 * 109.47311 * 300.00022 * 26 23 22 52 52 H 1.09004 * 109.46432 * 60.00124 * 26 23 22 53 53 H 1.09000 * 109.47182 * 180.02562 * 26 23 22 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 1.4521 0.0000 0.0000 3 6 2.0614 1.1960 0.0000 4 8 1.4033 2.2093 0.0005 5 6 3.5663 1.2749 0.0006 6 6 4.0001 2.7421 -0.0002 7 7 5.4631 2.8188 -0.0002 8 6 6.1425 2.9401 1.1826 9 1 7.1113 2.4773 1.2988 10 6 5.5859 3.6582 2.2321 11 7 4.6637 4.5661 1.9923 12 14 6.1456 3.3356 3.9848 13 1 7.2895 4.2246 4.3107 14 1 5.0249 3.6079 4.9204 15 1 6.5672 1.9178 4.1168 16 6 6.1993 2.7656 -1.2656 17 1 5.4943 2.6656 -2.0909 18 6 7.0043 4.0558 -1.4403 19 6 7.9705 3.8689 -2.6163 20 6 9.0221 2.8286 -2.2212 21 7 8.3785 1.6255 -1.7088 22 6 9.1592 0.3859 -1.6855 23 6 8.9615 -0.3662 -3.0031 24 6 9.4307 0.5105 -4.1661 25 6 7.4792 -0.7004 -3.1822 26 6 9.7773 -1.6603 -2.9790 27 6 7.1254 1.5832 -1.2548 28 8 6.7110 0.5339 -0.8097 29 1 -0.3633 -1.0276 0.0005 30 1 -0.3633 0.5139 0.8900 31 1 -0.3633 0.5138 -0.8900 32 1 3.9564 0.7807 -0.8893 33 1 3.9558 0.7809 0.8907 34 1 3.6101 3.2368 0.8894 35 1 3.6107 3.2357 -0.8906 36 1 4.2750 5.0681 2.7256 37 1 6.3280 4.8847 -1.6492 38 1 7.5680 4.2626 -0.5306 39 1 7.4195 3.5234 -3.4909 40 1 8.4610 4.8161 -2.8406 41 1 9.6738 3.2438 -1.4526 42 1 9.6197 2.5727 -3.0962 43 1 8.8249 -0.2384 -0.8569 44 1 10.2152 0.6241 -1.5580 45 1 8.8498 1.4326 -4.1834 46 1 9.2903 -0.0255 -5.1047 47 1 10.4867 0.7485 -4.0386 48 1 7.3384 -1.2366 -4.1207 49 1 7.1449 -1.3248 -2.3537 50 1 6.8983 0.2218 -3.1994 51 1 10.8332 -1.4219 -2.8517 52 1 9.4432 -2.2849 -2.1505 53 1 9.6368 -2.1959 -3.9179 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 ZINC000879473962.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 06:10:59 Heat of formation + Delta-G solvation = -105.736304 kcal Electronic energy + Delta-G solvation = -32715.713268 eV Core-core repulsion = 28588.165939 eV Total energy + Delta-G solvation = -4127.547329 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.98 seconds Orbital eigenvalues (eV) -40.31341 -39.83602 -37.23806 -36.13551 -35.78455 -35.16133 -32.37740 -31.50305 -30.17086 -28.09537 -27.33512 -27.16301 -26.85911 -26.21985 -24.65967 -23.44964 -21.64870 -21.22118 -19.78390 -18.97048 -18.11960 -17.10818 -16.63859 -16.06408 -16.00038 -15.94563 -15.82128 -15.40148 -14.75598 -14.25062 -14.04873 -13.92952 -13.88141 -13.53248 -13.20065 -13.04891 -13.00114 -12.83417 -12.43099 -12.20357 -12.10960 -11.93672 -11.91884 -11.64601 -11.57345 -11.48326 -11.14300 -11.03490 -10.99112 -10.79226 -10.75252 -10.68403 -10.55262 -10.47811 -10.41458 -10.39902 -10.03576 -9.94436 -9.77978 -9.68545 -8.87075 -8.45816 -8.10135 -6.71315 -5.84464 -3.37840 2.84026 3.24022 3.36063 3.43933 3.45283 3.50656 3.56998 4.45932 4.86622 4.88486 5.01344 5.07084 5.16774 5.20974 5.32294 5.37883 5.38693 5.40042 5.48788 5.55935 5.57514 5.61399 5.67574 5.77432 5.78940 5.80228 5.83299 5.99014 6.02629 6.05857 6.06802 6.11487 6.13937 6.15502 6.19653 6.22845 6.29704 6.44363 6.46163 6.60050 6.63463 6.70964 6.86027 7.00296 7.08581 7.09602 7.73590 7.80766 8.10479 8.33661 8.44788 9.01551 9.10091 9.72314 10.26446 11.17015 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.008967 B = 0.004574 C = 0.003606 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3121.876523 B = 6120.414385 C = 7763.301251 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.034 3.966 2 O -0.369 6.369 3 C 0.461 3.539 4 O -0.511 6.511 5 C -0.127 4.127 6 C 0.159 3.841 7 N -0.553 5.553 8 C -0.255 4.255 9 H 0.060 0.940 10 C 0.015 3.985 11 N -0.879 5.879 12 Si 0.894 3.106 13 H -0.286 1.286 14 H -0.288 1.288 15 H -0.277 1.277 16 C 0.163 3.837 17 H 0.077 0.923 18 C -0.126 4.126 19 C -0.134 4.134 20 C 0.113 3.887 21 N -0.607 5.607 22 C 0.118 3.882 23 C -0.083 4.083 24 C -0.143 4.143 25 C -0.129 4.129 26 C -0.137 4.137 27 C 0.509 3.491 28 O -0.536 6.536 29 H 0.093 0.907 30 H 0.058 0.942 31 H 0.057 0.943 32 H 0.089 0.911 33 H 0.101 0.899 34 H 0.114 0.886 35 H 0.032 0.968 36 H 0.257 0.743 37 H 0.067 0.933 38 H 0.081 0.919 39 H 0.063 0.937 40 H 0.074 0.926 41 H 0.056 0.944 42 H 0.070 0.930 43 H 0.084 0.916 44 H 0.065 0.935 45 H 0.062 0.938 46 H 0.049 0.951 47 H 0.050 0.950 48 H 0.040 0.960 49 H 0.063 0.937 50 H 0.053 0.947 51 H 0.051 0.949 52 H 0.056 0.944 53 H 0.053 0.947 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 5.790 -6.829 -11.584 14.641 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 -0.060 4.060 2 O -0.286 6.286 3 C 0.304 3.696 4 O -0.398 6.398 5 C -0.168 4.168 6 C 0.033 3.967 7 N -0.270 5.270 8 C -0.384 4.384 9 H 0.078 0.922 10 C -0.186 4.186 11 N -0.521 5.521 12 Si 0.723 3.277 13 H -0.213 1.213 14 H -0.214 1.214 15 H -0.203 1.203 16 C 0.052 3.948 17 H 0.095 0.905 18 C -0.166 4.166 19 C -0.172 4.172 20 C -0.010 4.010 21 N -0.342 5.342 22 C -0.005 4.005 23 C -0.084 4.084 24 C -0.200 4.200 25 C -0.186 4.186 26 C -0.195 4.195 27 C 0.296 3.704 28 O -0.412 6.412 29 H 0.111 0.889 30 H 0.077 0.923 31 H 0.076 0.924 32 H 0.108 0.892 33 H 0.119 0.881 34 H 0.131 0.869 35 H 0.051 0.949 36 H 0.067 0.933 37 H 0.085 0.915 38 H 0.099 0.901 39 H 0.081 0.919 40 H 0.093 0.907 41 H 0.074 0.926 42 H 0.088 0.912 43 H 0.103 0.897 44 H 0.083 0.917 45 H 0.081 0.919 46 H 0.068 0.932 47 H 0.069 0.931 48 H 0.059 0.941 49 H 0.082 0.918 50 H 0.072 0.928 51 H 0.071 0.929 52 H 0.075 0.925 53 H 0.072 0.928 Dipole moment (debyes) X Y Z Total from point charges 5.189 -6.913 -11.191 14.140 hybrid contribution 0.145 -0.137 0.931 0.952 sum 5.334 -7.050 -10.260 13.543 Atomic orbital electron populations 1.23125 0.77968 1.02775 1.02117 1.86594 1.22338 1.34992 1.84680 1.24645 0.92955 0.80641 0.71376 1.90623 1.67441 1.36250 1.45473 1.22400 0.83969 1.05372 1.05032 1.20910 0.83028 0.89068 1.03719 1.43572 1.00897 1.82419 1.00159 1.18859 1.03567 1.26691 0.89311 0.92247 1.25047 0.99239 0.95270 0.99033 1.69976 1.29820 1.21297 1.31006 0.86442 0.77850 0.78439 0.84968 1.21256 1.21408 1.20261 1.20265 0.92576 0.90610 0.91352 0.90504 1.22072 0.97976 0.98815 0.97705 1.21931 0.97568 0.98328 0.99420 1.21488 0.95574 0.85526 0.98419 1.47468 1.13480 1.09189 1.64059 1.21441 0.94885 0.86859 0.97341 1.20929 0.96516 0.95226 0.95738 1.22013 1.00496 1.00077 0.97434 1.21806 0.94463 1.01636 1.00711 1.21798 0.99268 0.96732 1.01731 1.21594 0.81516 0.91668 0.75628 1.90591 1.74278 1.31534 1.44771 0.88884 0.92310 0.92410 0.89241 0.88058 0.86871 0.94935 0.93324 0.91470 0.90058 0.91873 0.90732 0.92554 0.91164 0.89748 0.91704 0.91869 0.93205 0.93075 0.94090 0.91838 0.92810 0.92942 0.92502 0.92802 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 0.46 10.56 101.05 1.07 1.53 16 2 O -0.37 -6.52 10.57 -39.25 -0.41 -6.93 16 3 C 0.46 9.32 7.96 36.01 0.29 9.61 16 4 O -0.51 -11.47 15.73 -18.75 -0.29 -11.76 16 5 C -0.13 -2.68 6.14 -27.88 -0.17 -2.85 16 6 C 0.16 3.76 4.49 -4.04 -0.02 3.74 16 7 N -0.55 -13.05 2.15 -167.23 -0.36 -13.41 16 8 C -0.25 -6.66 8.08 -15.05 -0.12 -6.78 16 9 H 0.06 1.62 7.57 -52.49 -0.40 1.22 16 10 C 0.01 0.40 4.93 -17.43 -0.09 0.31 16 11 N -0.88 -24.58 11.31 55.49 0.63 -23.95 16 12 Si 0.89 21.50 29.61 -169.99 -5.03 16.47 16 13 H -0.29 -6.81 7.11 56.52 0.40 -6.41 16 14 H -0.29 -7.00 7.11 56.52 0.40 -6.60 16 15 H -0.28 -6.73 7.11 56.52 0.40 -6.33 16 16 C 0.16 3.23 2.83 -69.30 -0.20 3.04 16 17 H 0.08 1.45 7.85 -51.93 -0.41 1.05 16 18 C -0.13 -2.22 5.44 -26.52 -0.14 -2.36 16 19 C -0.13 -1.72 6.03 -26.50 -0.16 -1.88 16 20 C 0.11 1.42 5.52 -4.39 -0.02 1.39 16 21 N -0.61 -9.32 2.38 -174.84 -0.42 -9.74 16 22 C 0.12 1.63 4.52 -4.04 -0.02 1.61 16 23 C -0.08 -0.98 0.84 -154.50 -0.13 -1.11 16 24 C -0.14 -1.46 7.17 37.16 0.27 -1.19 16 25 C -0.13 -1.79 7.11 37.16 0.26 -1.52 16 26 C -0.14 -1.39 8.47 37.16 0.31 -1.08 16 27 C 0.51 9.68 4.69 -11.87 -0.06 9.63 16 28 O -0.54 -11.67 13.96 5.56 0.08 -11.59 16 29 H 0.09 0.93 8.14 -51.93 -0.42 0.50 16 30 H 0.06 0.79 8.13 -51.93 -0.42 0.37 16 31 H 0.06 0.74 8.13 -51.93 -0.42 0.32 16 32 H 0.09 1.81 8.14 -51.93 -0.42 1.39 16 33 H 0.10 2.26 8.14 -51.93 -0.42 1.84 16 34 H 0.11 3.08 5.27 -51.93 -0.27 2.81 16 35 H 0.03 0.75 7.97 -51.93 -0.41 0.34 16 36 H 0.26 7.02 8.31 -40.82 -0.34 6.68 16 37 H 0.07 1.22 8.14 -51.93 -0.42 0.80 16 38 H 0.08 1.64 7.33 -51.93 -0.38 1.26 16 39 H 0.06 0.76 8.12 -51.93 -0.42 0.34 16 40 H 0.07 0.81 8.14 -51.93 -0.42 0.38 16 41 H 0.06 0.71 8.14 -51.93 -0.42 0.29 16 42 H 0.07 0.72 5.44 -51.93 -0.28 0.43 16 43 H 0.08 1.38 7.13 -51.93 -0.37 1.01 16 44 H 0.06 0.77 8.01 -51.93 -0.42 0.35 16 45 H 0.06 0.68 5.83 -51.93 -0.30 0.38 16 46 H 0.05 0.47 8.14 -51.93 -0.42 0.05 16 47 H 0.05 0.46 8.07 -51.93 -0.42 0.04 16 48 H 0.04 0.50 8.14 -51.93 -0.42 0.08 16 49 H 0.06 1.00 7.59 -51.93 -0.39 0.61 16 50 H 0.05 0.84 6.17 -51.93 -0.32 0.52 16 51 H 0.05 0.47 8.14 -51.93 -0.42 0.05 16 52 H 0.06 0.60 8.14 -51.93 -0.42 0.18 16 53 H 0.05 0.50 8.14 -51.93 -0.42 0.08 16 LS Contribution 408.31 15.07 6.15 6.15 Total: -1.00 -30.65 408.31 -8.02 -38.67 By element: Atomic # 1 Polarization: 13.45 SS G_CDS: -9.43 Total: 4.02 kcal Atomic # 6 Polarization: 11.01 SS G_CDS: 1.07 Total: 12.08 kcal Atomic # 7 Polarization: -46.96 SS G_CDS: -0.15 Total: -47.11 kcal Atomic # 8 Polarization: -29.65 SS G_CDS: -0.63 Total: -30.28 kcal Atomic # 14 Polarization: 21.50 SS G_CDS: -5.03 Total: 16.47 kcal Total LS contribution 6.15 Total: 6.15 kcal Total: -30.65 -8.02 -38.67 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. ZINC000879473962.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 -67.069 kcal (2) G-P(sol) polarization free energy of solvation -30.650 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -97.720 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.016 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.667 kcal (6) G-S(sol) free energy of system = (1) + (5) -105.736 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.98 seconds