Wall clock time and date at job start Sat Apr 11 2020 06:10:11 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 1.45201 * 1 3 3 C 1.34230 * 117.00314 * 2 1 4 4 O 1.20814 * 119.99804 * 0.02562 * 3 2 1 5 5 C 1.50700 * 119.99573 * 179.97438 * 3 2 1 6 6 C 1.52997 * 109.46806 * 174.21210 * 5 3 2 7 7 H 1.09006 * 109.47177 * 55.57333 * 6 5 3 8 8 C 1.53003 * 109.47255 * 175.57264 * 6 5 3 9 9 N 1.46902 * 109.47464 * 295.57323 * 6 5 3 10 10 C 1.46896 * 110.99755 * 298.60762 * 9 6 5 11 11 C 1.53240 * 109.33879 * 172.74782 * 10 9 6 12 12 N 1.47070 * 108.52506 * 53.82531 * 11 10 9 13 13 C 1.34776 * 120.88504 * 128.84121 * 12 11 10 14 14 O 1.21289 * 119.99888 * 359.97438 * 13 12 11 15 15 C 1.50701 * 120.00501 * 180.02562 * 13 12 11 16 16 C 1.53001 * 109.47284 * 179.97438 * 15 13 12 17 17 C 1.52995 * 109.47130 * 179.97438 * 16 15 13 18 18 C 1.53001 * 109.47130 * 179.97438 * 17 16 15 19 19 C 1.50704 * 109.47018 * 179.97438 * 18 17 16 20 20 H 1.08004 * 120.00082 * 0.02562 * 19 18 17 21 21 C 1.37874 * 119.99710 * 179.97438 * 19 18 17 22 22 N 1.31511 * 120.00225 * 0.02562 * 21 19 18 23 23 Si 1.86804 * 119.99760 * 180.02562 * 21 19 18 24 24 H 1.48498 * 109.47239 * 0.02562 * 23 21 19 25 25 H 1.48503 * 109.47034 * 120.00539 * 23 21 19 26 26 H 1.48504 * 109.46933 * 240.00342 * 23 21 19 27 27 C 1.47078 * 118.23978 * 308.81609 * 12 11 10 28 28 C 1.46898 * 111.00121 * 174.30509 * 9 6 5 29 29 H 1.09003 * 109.46798 * 59.98983 * 1 2 3 30 30 H 1.08994 * 109.47859 * 179.97438 * 1 2 3 31 31 H 1.09002 * 109.46681 * 300.00265 * 1 2 3 32 32 H 1.09004 * 109.47326 * 54.21755 * 5 3 2 33 33 H 1.09001 * 109.47543 * 294.21358 * 5 3 2 34 34 H 1.09004 * 109.47113 * 180.02562 * 8 6 5 35 35 H 1.09004 * 109.46695 * 299.99969 * 8 6 5 36 36 H 1.08996 * 109.46951 * 59.99998 * 8 6 5 37 37 H 1.08991 * 109.49792 * 52.78515 * 10 9 6 38 38 H 1.09002 * 109.49214 * 292.70300 * 10 9 6 39 39 H 1.09004 * 109.62848 * 173.53824 * 11 10 9 40 40 H 1.09008 * 109.62377 * 294.11698 * 11 10 9 41 41 H 1.09003 * 109.46834 * 299.99576 * 15 13 12 42 42 H 1.09000 * 109.47334 * 59.99363 * 15 13 12 43 43 H 1.09003 * 109.47137 * 299.99755 * 16 15 13 44 44 H 1.09000 * 109.47156 * 59.99620 * 16 15 13 45 45 H 1.09003 * 109.47211 * 300.00078 * 17 16 15 46 46 H 1.09000 * 109.47111 * 59.99960 * 17 16 15 47 47 H 1.08996 * 109.46931 * 299.99793 * 18 17 16 48 48 H 1.08995 * 109.46900 * 60.00410 * 18 17 16 49 49 H 0.97004 * 119.99945 * 179.97438 * 22 21 19 50 50 H 1.09002 * 109.63246 * 170.88979 * 27 12 11 51 51 H 1.08996 * 109.63506 * 291.47752 * 27 12 11 52 52 H 1.08999 * 109.49744 * 67.29498 * 28 9 6 53 53 H 1.09002 * 109.51490 * 307.22318 * 28 9 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 8 1.4520 0.0000 0.0000 3 6 2.0615 1.1960 0.0000 4 8 1.4035 2.2092 0.0005 5 6 3.5664 1.2746 0.0006 6 6 4.0008 2.7344 -0.1450 7 1 3.5420 3.3304 0.6440 8 6 5.5239 2.8269 -0.0338 9 7 3.5736 3.2442 -1.4549 10 6 4.1996 2.4843 -2.5451 11 6 3.5940 2.9232 -3.8825 12 7 3.7157 4.3847 -3.9934 13 6 4.2540 4.9528 -5.0906 14 8 4.6464 4.2570 -6.0033 15 6 4.3696 6.4525 -5.1830 16 6 5.0108 6.8333 -6.5190 17 6 5.1275 8.3559 -6.6130 18 6 5.7692 8.7367 -7.9487 19 6 5.8836 10.2365 -8.0416 20 1 5.5340 10.8561 -7.2290 21 6 6.4356 10.8176 -9.1635 22 7 6.8618 10.0631 -10.1527 23 14 6.5780 12.6766 -9.2783 24 1 6.0308 13.2923 -8.0428 25 1 8.0061 13.0553 -9.4290 26 1 5.8110 13.1601 -10.4544 27 6 3.2338 5.2099 -2.8753 28 6 3.8538 4.6810 -1.5775 29 1 -0.3633 0.5140 -0.8899 30 1 -0.3634 -1.0276 -0.0005 31 1 -0.3633 0.5139 0.8900 32 1 3.9610 0.6934 -0.8328 33 1 3.9510 0.8729 0.9381 34 1 5.8333 3.8670 -0.1371 35 1 5.8408 2.4487 0.9382 36 1 5.9826 2.2309 -0.8227 37 1 4.0199 1.4196 -2.3963 38 1 5.2728 2.6749 -2.5518 39 1 4.1329 2.4477 -4.7021 40 1 2.5421 2.6395 -3.9188 41 1 3.3771 6.8982 -5.1158 42 1 4.9892 6.8203 -4.3651 43 1 6.0033 6.3877 -6.5858 44 1 4.3915 6.4655 -7.3371 45 1 4.1348 8.8013 -6.5464 46 1 5.7465 8.7241 -5.7949 47 1 6.7619 8.2915 -8.0149 48 1 5.1505 8.3686 -8.7670 49 1 7.2498 10.4719 -10.9422 50 1 3.5346 6.2463 -3.0289 51 1 2.1474 5.1461 -2.8147 52 1 4.9317 4.8410 -1.5977 53 1 3.4234 5.2097 -0.7270 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 ZINC000588630018.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 06:10:11 Heat of formation + Delta-G solvation = -128.749807 kcal Electronic energy + Delta-G solvation = -30037.738053 eV Core-core repulsion = 25909.192784 eV Total energy + Delta-G solvation = -4128.545269 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.77 seconds Orbital eigenvalues (eV) -40.99715 -40.26679 -38.79554 -36.79104 -35.64075 -34.88716 -32.70786 -32.22636 -31.61527 -29.63039 -29.39279 -27.44603 -27.02625 -25.58669 -24.02393 -22.95751 -22.17862 -21.29251 -20.17446 -19.89056 -18.68131 -17.91539 -17.40395 -17.00519 -16.75109 -16.19973 -15.96259 -15.93742 -15.74866 -15.27984 -15.02214 -14.44136 -14.38206 -14.30620 -13.89383 -13.70129 -13.50343 -13.22759 -12.86722 -12.68173 -12.57926 -12.43880 -12.43230 -12.23151 -12.11627 -11.96329 -11.62443 -11.52445 -11.39115 -11.29848 -11.14872 -11.10887 -10.97769 -10.70608 -10.51149 -10.46282 -10.37212 -9.71414 -9.58686 -9.19386 -8.96553 -8.94625 -8.51475 -8.28925 -5.93470 -3.95861 1.96047 2.35125 2.72807 2.86732 3.34332 3.39967 3.41452 3.45507 4.11046 4.29721 4.40704 4.50539 4.59475 4.64039 4.70485 4.73408 4.78158 4.80637 4.86274 4.91882 4.92119 5.02836 5.06388 5.13266 5.20793 5.25023 5.33436 5.36537 5.38835 5.42056 5.47056 5.54937 5.59916 5.64740 5.79610 5.89695 6.07400 6.16782 6.29294 6.38025 6.57633 6.60559 6.63670 6.87075 7.04597 7.22518 7.36649 7.48621 7.76632 7.92648 8.08211 8.25196 8.50088 9.12103 9.67754 11.17859 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.026253 B = 0.001676 C = 0.001659 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1066.290252 B =16703.590469 C =16875.719658 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.038 3.962 2 O -0.368 6.368 3 C 0.460 3.540 4 O -0.483 6.483 5 C -0.110 4.110 6 C 0.092 3.908 7 H 0.096 0.904 8 C -0.189 4.189 9 N -0.523 5.523 10 C 0.032 3.968 11 C 0.118 3.882 12 N -0.621 5.621 13 C 0.515 3.485 14 O -0.537 6.537 15 C -0.137 4.137 16 C -0.103 4.103 17 C -0.110 4.110 18 C 0.019 3.981 19 C -0.519 4.519 20 H 0.055 0.945 21 C 0.055 3.945 22 N -0.895 5.895 23 Si 0.891 3.109 24 H -0.273 1.273 25 H -0.285 1.285 26 H -0.284 1.284 27 C 0.112 3.888 28 C 0.043 3.957 29 H 0.063 0.937 30 H 0.098 0.902 31 H 0.061 0.939 32 H 0.105 0.895 33 H 0.110 0.890 34 H 0.065 0.935 35 H 0.065 0.935 36 H 0.062 0.938 37 H 0.084 0.916 38 H 0.045 0.955 39 H 0.095 0.905 40 H 0.069 0.931 41 H 0.090 0.910 42 H 0.089 0.911 43 H 0.062 0.938 44 H 0.063 0.937 45 H 0.047 0.953 46 H 0.046 0.954 47 H 0.016 0.984 48 H 0.016 0.984 49 H 0.259 0.741 50 H 0.093 0.907 51 H 0.076 0.924 52 H 0.043 0.957 53 H 0.088 0.912 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.651 -22.365 27.341 36.618 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 -0.056 4.056 2 O -0.286 6.286 3 C 0.302 3.698 4 O -0.368 6.368 5 C -0.148 4.148 6 C -0.017 4.017 7 H 0.114 0.886 8 C -0.247 4.247 9 N -0.247 5.247 10 C -0.096 4.096 11 C -0.005 4.005 12 N -0.357 5.357 13 C 0.305 3.695 14 O -0.413 6.413 15 C -0.177 4.177 16 C -0.141 4.141 17 C -0.148 4.148 18 C -0.018 4.018 19 C -0.558 4.558 20 H 0.073 0.927 21 C -0.146 4.146 22 N -0.534 5.534 23 Si 0.719 3.281 24 H -0.198 1.198 25 H -0.211 1.211 26 H -0.211 1.211 27 C -0.011 4.011 28 C -0.085 4.085 29 H 0.082 0.918 30 H 0.117 0.883 31 H 0.079 0.921 32 H 0.124 0.876 33 H 0.128 0.872 34 H 0.084 0.916 35 H 0.084 0.916 36 H 0.081 0.919 37 H 0.102 0.898 38 H 0.063 0.937 39 H 0.113 0.887 40 H 0.087 0.913 41 H 0.108 0.892 42 H 0.107 0.893 43 H 0.081 0.919 44 H 0.082 0.918 45 H 0.065 0.935 46 H 0.065 0.935 47 H 0.034 0.966 48 H 0.034 0.966 49 H 0.069 0.931 50 H 0.111 0.889 51 H 0.095 0.905 52 H 0.061 0.939 53 H 0.107 0.893 Dipole moment (debyes) X Y Z Total from point charges -10.108 -22.471 26.617 36.271 hybrid contribution 0.728 1.115 0.042 1.332 sum -9.380 -21.356 26.659 35.423 Atomic orbital electron populations 1.23218 0.76350 1.03488 1.02561 1.86491 1.23457 1.33986 1.84630 1.23501 0.91892 0.81353 0.73066 1.90692 1.66736 1.36000 1.43376 1.21566 0.88519 0.98949 1.05741 1.21551 0.93617 0.93721 0.92773 0.88590 1.22483 0.96367 1.03042 1.02857 1.62137 1.58235 1.03108 1.01224 1.22623 0.97202 0.98501 0.91286 1.21588 1.01399 0.80797 0.96758 1.48243 1.62333 1.06782 1.18317 1.21113 0.75961 0.91541 0.80920 1.90691 1.48136 1.64770 1.37681 1.21811 1.03291 0.90636 1.01949 1.21456 1.00786 0.97896 0.93956 1.21646 1.00191 0.91988 1.00926 1.19104 0.95812 0.95919 0.90962 1.21329 1.39672 0.92303 1.02472 0.92696 1.25044 0.95662 0.97996 0.95899 1.69988 1.41608 1.34798 1.07052 0.86559 0.77643 0.85981 0.77934 1.19789 1.21075 1.21056 1.21837 0.99673 0.95001 0.84581 1.22469 0.99140 0.88396 0.98515 0.91827 0.88322 0.92060 0.87645 0.87183 0.91581 0.91554 0.91884 0.89825 0.93669 0.88718 0.91255 0.89160 0.89299 0.91882 0.91816 0.93468 0.93532 0.96596 0.96571 0.93126 0.88861 0.90528 0.93887 0.89331 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 0.04 0.21 10.56 101.05 1.07 1.27 16 2 O -0.37 -2.75 10.56 -39.26 -0.41 -3.17 16 3 C 0.46 3.65 7.77 36.01 0.28 3.93 16 4 O -0.48 -5.23 15.20 -18.74 -0.28 -5.52 16 5 C -0.11 -0.54 5.11 -27.88 -0.14 -0.69 16 6 C 0.09 0.54 1.91 -67.71 -0.13 0.41 16 7 H 0.10 0.63 7.80 -51.93 -0.41 0.22 16 8 C -0.19 -0.91 8.50 37.16 0.32 -0.60 16 9 N -0.52 -4.04 3.86 -226.34 -0.87 -4.91 16 10 C 0.03 0.26 4.75 -3.70 -0.02 0.24 16 11 C 0.12 1.22 6.60 -3.61 -0.02 1.20 16 12 N -0.62 -7.16 3.01 -172.46 -0.52 -7.68 16 13 C 0.52 7.63 7.71 -10.98 -0.08 7.54 16 14 O -0.54 -10.09 15.44 5.55 0.09 -10.01 16 15 C -0.14 -1.91 4.07 -27.88 -0.11 -2.02 16 16 C -0.10 -1.90 4.50 -26.73 -0.12 -2.02 16 17 C -0.11 -2.30 5.15 -26.73 -0.14 -2.44 16 18 C 0.02 0.51 4.97 -27.88 -0.14 0.38 16 19 C -0.52 -15.13 9.11 -34.44 -0.31 -15.45 16 20 H 0.05 1.54 7.74 -52.48 -0.41 1.14 16 21 C 0.05 1.62 5.46 -17.82 -0.10 1.52 16 22 N -0.89 -27.73 13.29 55.43 0.74 -26.99 16 23 Si 0.89 22.07 29.54 -169.99 -5.02 17.05 16 24 H -0.27 -6.58 7.11 56.52 0.40 -6.18 16 25 H -0.28 -6.96 7.11 56.52 0.40 -6.56 16 26 H -0.28 -6.97 7.11 56.52 0.40 -6.56 16 27 C 0.11 0.99 6.50 -3.60 -0.02 0.96 16 28 C 0.04 0.33 5.15 -3.70 -0.02 0.31 16 29 H 0.06 0.38 8.13 -51.93 -0.42 -0.04 16 30 H 0.10 0.29 8.14 -51.93 -0.42 -0.13 16 31 H 0.06 0.33 8.13 -51.93 -0.42 -0.09 16 32 H 0.11 0.44 6.07 -51.93 -0.32 0.12 16 33 H 0.11 0.30 8.14 -51.93 -0.42 -0.12 16 34 H 0.07 0.37 6.71 -51.93 -0.35 0.02 16 35 H 0.07 0.24 8.14 -51.93 -0.42 -0.19 16 36 H 0.06 0.33 6.55 -51.93 -0.34 -0.01 16 37 H 0.08 0.54 5.91 -51.93 -0.31 0.23 16 38 H 0.05 0.38 6.70 -51.93 -0.35 0.03 16 39 H 0.09 1.11 7.06 -51.93 -0.37 0.75 16 40 H 0.07 0.72 8.14 -51.92 -0.42 0.29 16 41 H 0.09 1.11 8.00 -51.93 -0.42 0.69 16 42 H 0.09 1.07 7.66 -51.93 -0.40 0.67 16 43 H 0.06 1.24 8.10 -51.93 -0.42 0.81 16 44 H 0.06 1.26 8.10 -51.93 -0.42 0.84 16 45 H 0.05 0.95 8.14 -51.93 -0.42 0.53 16 46 H 0.05 0.93 8.14 -51.93 -0.42 0.51 16 47 H 0.02 0.45 8.14 -51.93 -0.42 0.03 16 48 H 0.02 0.46 8.14 -51.93 -0.42 0.04 16 49 H 0.26 7.53 8.31 -40.82 -0.34 7.19 16 50 H 0.09 0.72 6.02 -51.93 -0.31 0.41 16 51 H 0.08 0.68 8.14 -51.93 -0.42 0.26 16 52 H 0.04 0.34 6.83 -51.93 -0.35 -0.02 16 53 H 0.09 0.59 8.05 -51.93 -0.42 0.17 16 LS Contribution 415.19 15.07 6.26 6.26 Total: -1.00 -36.28 415.19 -9.09 -45.37 By element: Atomic # 1 Polarization: 4.40 SS G_CDS: -9.36 Total: -4.96 kcal Atomic # 6 Polarization: -5.75 SS G_CDS: 0.30 Total: -5.45 kcal Atomic # 7 Polarization: -38.92 SS G_CDS: -0.66 Total: -39.58 kcal Atomic # 8 Polarization: -18.08 SS G_CDS: -0.61 Total: -18.69 kcal Atomic # 14 Polarization: 22.07 SS G_CDS: -5.02 Total: 17.05 kcal Total LS contribution 6.26 Total: 6.26 kcal Total: -36.28 -9.09 -45.37 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. ZINC000588630018.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 -83.377 kcal (2) G-P(sol) polarization free energy of solvation -36.279 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -119.656 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.094 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.373 kcal (6) G-S(sol) free energy of system = (1) + (5) -128.750 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.77 seconds