Wall clock time and date at job start Sat Apr 11 2020 06:09:47 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 1.45202 * 1 3 3 C 1.34235 * 117.00182 * 2 1 4 4 O 1.20831 * 119.99437 * 359.97438 * 3 2 1 5 5 C 1.50696 * 120.00108 * 179.97438 * 3 2 1 6 6 H 1.08996 * 109.47159 * 59.99573 * 5 3 2 7 7 C 1.53002 * 109.46867 * 299.99927 * 5 3 2 8 8 C 1.52997 * 109.47274 * 66.88642 * 7 5 3 9 9 C 1.52998 * 109.47341 * 64.75662 * 8 7 5 10 10 C 1.52997 * 109.47335 * 184.76217 * 8 7 5 11 11 N 1.46494 * 109.47113 * 180.02562 * 5 3 2 12 12 C 1.34776 * 119.99820 * 206.30492 * 11 5 3 13 13 O 1.21287 * 120.00242 * 354.75975 * 12 11 5 14 14 C 1.50706 * 119.99940 * 174.75201 * 12 11 5 15 15 N 1.46904 * 109.47194 * 180.02562 * 14 12 11 16 16 C 1.46848 * 110.99973 * 293.96001 * 15 14 12 17 17 C 1.53043 * 109.52014 * 185.83974 * 16 15 14 18 18 C 1.53120 * 109.27527 * 300.81386 * 17 16 15 19 19 C 1.53120 * 109.15872 * 57.65883 * 18 17 16 20 20 H 1.09002 * 109.50514 * 62.32625 * 19 18 17 21 21 C 1.50699 * 109.50327 * 182.40007 * 19 18 17 22 22 H 1.08003 * 120.00169 * 120.27539 * 21 19 18 23 23 C 1.37877 * 120.00069 * 300.00190 * 21 19 18 24 24 N 1.31516 * 120.00020 * 359.97438 * 23 21 19 25 25 Si 1.86802 * 120.00170 * 180.02562 * 23 21 19 26 26 H 1.48496 * 109.47133 * 59.99783 * 25 23 21 27 27 H 1.48497 * 109.47268 * 179.97438 * 25 23 21 28 28 H 1.48506 * 109.47045 * 299.99913 * 25 23 21 29 29 C 1.46849 * 110.99801 * 58.16611 * 15 14 12 30 30 H 1.09000 * 109.46828 * 300.00677 * 1 2 3 31 31 H 1.09007 * 109.47014 * 60.00080 * 1 2 3 32 32 H 1.09001 * 109.47068 * 179.97438 * 1 2 3 33 33 H 1.09000 * 109.46862 * 186.88395 * 7 5 3 34 34 H 1.09002 * 109.47464 * 306.88212 * 7 5 3 35 35 H 1.09007 * 109.47206 * 304.75781 * 8 7 5 36 36 H 1.09001 * 109.47000 * 182.10201 * 9 8 7 37 37 H 1.08996 * 109.47108 * 302.10363 * 9 8 7 38 38 H 1.08998 * 109.47188 * 62.11024 * 9 8 7 39 39 H 1.09002 * 109.47508 * 59.99583 * 10 8 7 40 40 H 1.09003 * 109.47187 * 179.97438 * 10 8 7 41 41 H 1.08997 * 109.47185 * 299.99461 * 10 8 7 42 42 H 0.96999 * 120.00277 * 26.30116 * 11 5 3 43 43 H 1.08996 * 109.46494 * 60.00659 * 14 12 11 44 44 H 1.08992 * 109.47263 * 300.00454 * 14 12 11 45 45 H 1.09004 * 109.46323 * 65.82049 * 16 15 14 46 46 H 1.08998 * 109.44998 * 305.84696 * 16 15 14 47 47 H 1.09001 * 109.49742 * 180.88386 * 17 16 15 48 48 H 1.08990 * 109.53699 * 60.77821 * 17 16 15 49 49 H 1.08997 * 109.52739 * 297.75042 * 18 17 16 50 50 H 1.08996 * 109.57187 * 177.59191 * 18 17 16 51 51 H 0.96995 * 119.99958 * 179.97438 * 24 23 21 52 52 H 1.09007 * 109.46116 * 54.14344 * 29 15 14 53 53 H 1.09000 * 109.46402 * 294.17845 * 29 15 14 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 1.4033 2.2094 -0.0005 5 6 3.5664 1.2749 0.0006 6 1 3.9564 0.7805 -0.8891 7 6 4.1129 0.5815 1.2502 8 6 3.8271 -0.9192 1.1670 9 6 4.6010 -1.5214 -0.0075 10 6 4.2665 -1.5950 2.4674 11 7 3.9817 2.6797 0.0011 12 6 5.1764 3.0293 -0.5156 13 8 5.9475 2.1730 -0.8941 14 6 5.5541 4.4843 -0.6234 15 7 6.8938 4.6000 -1.2149 16 6 7.9143 4.0394 -0.3202 17 6 9.3053 4.3068 -0.8998 18 6 9.4071 3.6649 -2.2862 19 6 8.3031 4.2303 -3.1841 20 1 8.4464 5.3041 -3.3048 21 6 8.3592 3.5605 -4.5329 22 1 7.5059 3.0078 -4.8973 23 6 9.4979 3.6582 -5.3042 24 7 10.5348 4.3362 -4.8631 25 14 9.5672 2.8286 -6.9765 26 1 8.4964 3.3780 -7.8464 27 1 10.8905 3.0827 -7.6007 28 1 9.3696 1.3660 -6.8121 29 6 6.9413 3.9652 -2.5383 30 1 -0.3633 0.5139 0.8899 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3633 -1.0277 -0.0005 33 1 5.1888 0.7435 1.3144 34 1 3.6298 0.9948 2.1357 35 1 2.7591 -1.0780 1.0179 36 1 4.3685 -2.5831 -0.0896 37 1 4.3152 -1.0144 -0.9290 38 1 5.6708 -1.3958 0.1597 39 1 3.7151 -1.1660 3.3042 40 1 4.0625 -2.6641 2.4083 41 1 5.3345 -1.4363 2.6165 42 1 3.3970 3.3583 0.3732 43 1 5.5549 4.9338 0.3696 44 1 4.8322 5.0012 -1.2556 45 1 7.7616 2.9644 -0.2234 46 1 7.8336 4.5074 0.6609 47 1 10.0618 3.8769 -0.2434 48 1 9.4646 5.3817 -0.9839 49 1 9.2872 2.5852 -2.1975 50 1 10.3809 3.8887 -2.7216 51 1 11.3360 4.4046 -5.4055 52 1 6.1538 4.3791 -3.1681 53 1 6.7931 2.8906 -2.4312 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 ZINC000595609922.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 06:09:47 Heat of formation + Delta-G solvation = -126.974056 kcal Electronic energy + Delta-G solvation = -31675.924606 eV Core-core repulsion = 27547.456339 eV Total energy + Delta-G solvation = -4128.468267 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) -41.23431 -39.99139 -37.79789 -36.94717 -36.69488 -34.30495 -33.56403 -31.75207 -30.32314 -29.72217 -28.01122 -27.32292 -26.72622 -24.83262 -24.72509 -22.35508 -21.43582 -21.15671 -20.57870 -20.12017 -18.76731 -17.93549 -17.55316 -16.98633 -16.46983 -16.16645 -15.72992 -15.34797 -15.00257 -14.78347 -14.47222 -14.24160 -14.13611 -13.96776 -13.81553 -13.65367 -13.05162 -12.83839 -12.78434 -12.44951 -12.30623 -12.24090 -12.15334 -11.98326 -11.94994 -11.61939 -11.32319 -11.27659 -11.19398 -11.03255 -10.83627 -10.68984 -10.60666 -10.59348 -10.51190 -10.20411 -9.94311 -9.71722 -9.38103 -9.12497 -8.93019 -8.59452 -8.19848 -7.45620 -5.87398 -3.92483 1.76599 2.08161 2.69909 3.15779 3.38847 3.42742 3.45903 4.24080 4.43749 4.48484 4.59716 4.65488 4.69060 4.74828 4.81349 4.86210 5.04981 5.13961 5.20641 5.36799 5.42424 5.43038 5.52109 5.56341 5.60840 5.67675 5.75601 5.78070 5.79946 5.91048 5.97371 6.03672 6.12318 6.18657 6.25878 6.30139 6.46048 6.63942 6.70049 6.87583 6.97213 7.16002 7.28315 7.32172 7.36547 7.51337 7.71775 7.83300 7.88468 8.21365 8.25509 8.32222 8.61107 9.11188 9.70781 11.18680 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012708 B = 0.002849 C = 0.002754 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2202.881404 B = 9826.077249 C =10166.206884 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 -0.346 6.346 3 C 0.461 3.539 4 O -0.503 6.503 5 C 0.151 3.849 6 H 0.129 0.871 7 C -0.118 4.118 8 C -0.105 4.105 9 C -0.147 4.147 10 C -0.144 4.144 11 N -0.726 5.726 12 C 0.482 3.518 13 O -0.513 6.513 14 C 0.038 3.962 15 N -0.512 5.512 16 C 0.051 3.949 17 C -0.115 4.115 18 C -0.109 4.109 19 C 0.058 3.942 20 H 0.029 0.971 21 C -0.510 4.510 22 H 0.051 0.949 23 C 0.062 3.938 24 N -0.890 5.890 25 Si 0.889 3.111 26 H -0.278 1.278 27 H -0.288 1.288 28 H -0.278 1.278 29 C 0.046 3.954 30 H 0.063 0.937 31 H 0.064 0.936 32 H 0.103 0.897 33 H 0.088 0.912 34 H 0.067 0.933 35 H 0.091 0.909 36 H 0.054 0.946 37 H 0.056 0.944 38 H 0.058 0.942 39 H 0.051 0.949 40 H 0.056 0.944 41 H 0.055 0.945 42 H 0.406 0.594 43 H 0.097 0.903 44 H 0.103 0.897 45 H 0.051 0.949 46 H 0.050 0.950 47 H 0.045 0.955 48 H 0.057 0.943 49 H 0.031 0.969 50 H 0.088 0.912 51 H 0.259 0.741 52 H 0.049 0.951 53 H 0.063 0.937 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.945 -8.535 16.149 25.606 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 -0.062 4.062 2 O -0.262 6.262 3 C 0.304 3.696 4 O -0.390 6.390 5 C 0.044 3.956 6 H 0.146 0.854 7 C -0.157 4.157 8 C -0.124 4.124 9 C -0.205 4.205 10 C -0.202 4.202 11 N -0.383 5.383 12 C 0.269 3.731 13 O -0.387 6.387 14 C -0.094 4.094 15 N -0.234 5.234 16 C -0.077 4.077 17 C -0.153 4.153 18 C -0.147 4.147 19 C 0.039 3.961 20 H 0.047 0.953 21 C -0.549 4.549 22 H 0.070 0.930 23 C -0.139 4.139 24 N -0.529 5.529 25 Si 0.717 3.283 26 H -0.204 1.204 27 H -0.214 1.214 28 H -0.204 1.204 29 C -0.080 4.080 30 H 0.082 0.918 31 H 0.083 0.917 32 H 0.122 0.878 33 H 0.107 0.893 34 H 0.085 0.915 35 H 0.109 0.891 36 H 0.073 0.927 37 H 0.075 0.925 38 H 0.077 0.923 39 H 0.070 0.930 40 H 0.075 0.925 41 H 0.074 0.926 42 H 0.243 0.757 43 H 0.115 0.885 44 H 0.121 0.879 45 H 0.069 0.931 46 H 0.069 0.931 47 H 0.063 0.937 48 H 0.076 0.924 49 H 0.050 0.950 50 H 0.107 0.893 51 H 0.069 0.931 52 H 0.068 0.932 53 H 0.080 0.920 Dipole moment (debyes) X Y Z Total from point charges -17.290 -8.281 15.706 24.783 hybrid contribution -0.773 -0.886 -0.663 1.350 sum -18.063 -9.167 15.043 25.231 Atomic orbital electron populations 1.23339 0.76283 1.03923 1.02702 1.86575 1.23416 1.32516 1.83691 1.23870 0.91908 0.81757 0.72110 1.90668 1.66873 1.36311 1.45176 1.20549 0.86117 0.85682 1.03213 0.85410 1.21992 1.03030 0.95327 0.95353 1.21321 1.01886 0.93258 0.95948 1.21866 1.00549 1.00398 0.97645 1.21802 1.01463 1.00333 0.96563 1.46225 1.20939 1.07131 1.64038 1.22844 0.80327 0.93951 0.76002 1.90710 1.49141 1.52364 1.46479 1.22418 0.94735 0.89948 1.02341 1.62504 1.00114 1.56334 1.04459 1.22197 0.92867 0.98473 0.94149 1.21640 0.93746 1.01012 0.98871 1.21617 1.03870 0.97356 0.91832 1.18614 0.88130 0.96867 0.92467 0.95299 1.21118 0.99614 1.32611 1.01511 0.93028 1.24923 0.95795 0.95350 0.97806 1.69887 1.04266 1.41401 1.37368 0.86712 0.76998 0.80022 0.84556 1.20397 1.21377 1.20396 1.22666 1.00964 0.98308 0.86066 0.91789 0.91716 0.87849 0.89336 0.91461 0.89100 0.92683 0.92537 0.92316 0.92987 0.92526 0.92588 0.75731 0.88457 0.87910 0.93133 0.93143 0.93680 0.92445 0.94969 0.89342 0.93132 0.93245 0.91951 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 0.20 10.56 101.05 1.07 1.26 16 2 O -0.35 -3.10 7.74 -39.27 -0.30 -3.40 16 3 C 0.46 4.94 7.30 36.00 0.26 5.21 16 4 O -0.50 -6.32 15.61 -18.75 -0.29 -6.61 16 5 C 0.15 1.67 2.44 -69.09 -0.17 1.50 16 6 H 0.13 1.60 5.69 -51.93 -0.30 1.31 16 7 C -0.12 -1.14 4.43 -26.73 -0.12 -1.26 16 8 C -0.11 -0.91 2.74 -90.62 -0.25 -1.16 16 9 C -0.15 -1.44 9.00 37.16 0.33 -1.10 16 10 C -0.14 -1.10 9.19 37.16 0.34 -0.76 16 11 N -0.73 -8.36 4.93 -54.94 -0.27 -8.64 16 12 C 0.48 7.02 7.21 -10.98 -0.08 6.94 16 13 O -0.51 -9.40 11.32 5.55 0.06 -9.34 16 14 C 0.04 0.54 5.86 -4.97 -0.03 0.51 16 15 N -0.51 -9.59 4.86 -236.10 -1.15 -10.74 16 16 C 0.05 0.94 5.09 -3.83 -0.02 0.92 16 17 C -0.11 -2.36 6.09 -26.65 -0.16 -2.52 16 18 C -0.11 -2.71 5.02 -26.61 -0.13 -2.85 16 19 C 0.06 1.52 2.26 -91.69 -0.21 1.31 16 20 H 0.03 0.83 8.14 -51.93 -0.42 0.41 16 21 C -0.51 -14.57 8.56 -34.44 -0.29 -14.87 16 22 H 0.05 1.47 7.74 -52.48 -0.41 1.06 16 23 C 0.06 1.77 5.30 -17.82 -0.09 1.68 16 24 N -0.89 -26.13 11.35 55.43 0.63 -25.50 16 25 Si 0.89 21.95 29.54 -169.99 -5.02 16.93 16 26 H -0.28 -6.78 7.11 56.52 0.40 -6.38 16 27 H -0.29 -7.03 7.11 56.52 0.40 -6.62 16 28 H -0.28 -6.82 7.11 56.52 0.40 -6.42 16 29 C 0.05 1.04 4.20 -3.84 -0.02 1.02 16 30 H 0.06 0.38 8.13 -51.93 -0.42 -0.04 16 31 H 0.06 0.43 8.13 -51.93 -0.42 0.01 16 32 H 0.10 0.38 8.14 -51.93 -0.42 -0.05 16 33 H 0.09 1.00 8.14 -51.93 -0.42 0.58 16 34 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 35 H 0.09 0.76 5.28 -51.92 -0.27 0.49 16 36 H 0.05 0.47 8.14 -51.93 -0.42 0.05 16 37 H 0.06 0.60 6.32 -51.93 -0.33 0.27 16 38 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 39 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 40 H 0.06 0.39 8.14 -51.93 -0.42 -0.03 16 41 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 42 H 0.41 4.00 7.83 -40.82 -0.32 3.68 16 43 H 0.10 1.09 8.06 -51.93 -0.42 0.67 16 44 H 0.10 1.31 8.14 -51.93 -0.42 0.89 16 45 H 0.05 1.00 6.00 -51.93 -0.31 0.69 16 46 H 0.05 0.80 8.06 -51.93 -0.42 0.38 16 47 H 0.04 0.84 8.14 -51.93 -0.42 0.41 16 48 H 0.06 1.20 8.14 -51.93 -0.42 0.78 16 49 H 0.03 0.82 8.14 -51.93 -0.42 0.40 16 50 H 0.09 2.44 6.15 -51.93 -0.32 2.12 16 51 H 0.26 7.26 8.31 -40.82 -0.34 6.92 16 52 H 0.05 1.10 8.12 -51.92 -0.42 0.68 16 53 H 0.06 1.49 5.36 -51.93 -0.28 1.22 16 LS Contribution 406.99 15.07 6.13 6.13 Total: -1.00 -32.51 406.99 -9.05 -41.55 By element: Atomic # 1 Polarization: 13.05 SS G_CDS: -9.27 Total: 3.78 kcal Atomic # 6 Polarization: -4.60 SS G_CDS: 0.43 Total: -4.17 kcal Atomic # 7 Polarization: -44.09 SS G_CDS: -0.79 Total: -44.87 kcal Atomic # 8 Polarization: -18.83 SS G_CDS: -0.53 Total: -19.36 kcal Atomic # 14 Polarization: 21.95 SS G_CDS: -5.02 Total: 16.93 kcal Total LS contribution 6.13 Total: 6.13 kcal Total: -32.51 -9.05 -41.55 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. ZINC000595609922.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 -85.420 kcal (2) G-P(sol) polarization free energy of solvation -32.509 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -117.929 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.045 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.554 kcal (6) G-S(sol) free energy of system = (1) + (5) -126.974 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds