Wall clock time and date at job start Sat Apr 11 2020 04:54:52 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 1.53003 * 1 3 3 C 1.52996 * 109.46911 * 2 1 4 4 C 1.53000 * 109.46622 * 119.99811 * 2 1 3 5 5 N 1.46507 * 109.46964 * 173.79860 * 4 2 1 6 6 C 1.36732 * 127.13714 * 88.51789 * 5 4 2 7 7 C 1.50701 * 126.34920 * 0.23646 * 6 5 4 8 8 C 1.52998 * 109.47762 * 96.22466 * 7 6 5 9 9 H 1.09004 * 109.46656 * 55.51950 * 8 7 6 10 10 C 1.52992 * 109.47240 * 175.51993 * 8 7 6 11 11 O 1.42903 * 109.46856 * 295.52065 * 8 7 6 12 12 N 1.30291 * 107.30680 * 180.26336 * 6 5 4 13 13 N 1.28531 * 110.05282 * 0.02562 * 12 6 5 14 14 C 1.31216 * 109.85769 * 359.97438 * 13 12 6 15 15 N 1.38585 * 126.47015 * 179.97438 * 14 13 12 16 16 C 1.46847 * 110.99912 * 234.25836 * 15 14 13 17 17 C 1.53033 * 109.52491 * 174.15939 * 16 15 14 18 18 C 1.53124 * 109.27430 * 59.18062 * 17 16 15 19 19 C 1.53119 * 109.16233 * 302.34528 * 18 17 16 20 20 H 1.08998 * 109.50122 * 297.71242 * 19 18 17 21 21 C 1.50696 * 109.50332 * 177.63607 * 19 18 17 22 22 H 1.08003 * 120.00106 * 240.00519 * 21 19 18 23 23 C 1.37884 * 119.99989 * 59.99934 * 21 19 18 24 24 N 1.31507 * 119.99828 * 0.02562 * 23 21 19 25 25 Si 1.86801 * 119.99770 * 180.02562 * 23 21 19 26 26 H 1.48503 * 109.47389 * 359.97438 * 25 23 21 27 27 H 1.48500 * 109.47016 * 120.00086 * 25 23 21 28 28 H 1.48504 * 109.46829 * 240.00195 * 25 23 21 29 29 C 1.46844 * 110.99749 * 110.05081 * 15 14 13 30 30 H 1.08999 * 109.47336 * 300.00403 * 1 2 3 31 31 H 1.08999 * 109.47143 * 60.00489 * 1 2 3 32 32 H 1.09001 * 109.47338 * 179.97438 * 1 2 3 33 33 H 1.08999 * 109.47336 * 239.99597 * 2 1 3 34 34 H 1.08998 * 109.47335 * 302.41894 * 3 2 1 35 35 H 1.09000 * 109.47108 * 62.42185 * 3 2 1 36 36 H 1.09001 * 109.47024 * 182.41928 * 3 2 1 37 37 H 1.09001 * 109.47653 * 53.80014 * 4 2 1 38 38 H 1.09003 * 109.47063 * 293.79197 * 4 2 1 39 39 H 1.09001 * 109.47055 * 216.22728 * 7 6 5 40 40 H 1.09007 * 109.46851 * 336.22007 * 7 6 5 41 41 H 1.09004 * 109.47331 * 60.00371 * 10 8 7 42 42 H 1.09008 * 109.47300 * 179.97438 * 10 8 7 43 43 H 1.09000 * 109.47393 * 299.99763 * 10 8 7 44 44 H 0.96693 * 114.00055 * 304.36947 * 11 8 7 45 45 H 1.08993 * 109.46575 * 294.18045 * 16 15 14 46 46 H 1.09004 * 109.46099 * 54.15869 * 16 15 14 47 47 H 1.08996 * 109.50494 * 179.12234 * 17 16 15 48 48 H 1.09003 * 109.50269 * 299.24141 * 17 16 15 49 49 H 1.09002 * 109.52178 * 62.25401 * 18 17 16 50 50 H 1.09008 * 109.52136 * 182.44117 * 18 17 16 51 51 H 0.97002 * 119.99716 * 179.97438 * 24 23 21 52 52 H 1.08999 * 109.46694 * 305.84990 * 29 15 14 53 53 H 1.09004 * 109.46341 * 65.82383 * 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 6 1.5300 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 2.0399 -0.7212 1.2493 5 7 3.4974 -0.8518 1.1771 6 6 4.4295 0.0455 1.6192 7 6 4.1504 1.3686 2.2846 8 6 4.2203 1.2003 3.8037 9 1 5.1875 0.7793 4.0785 10 6 4.0479 2.5636 4.4763 11 8 3.1787 0.3217 4.2340 12 7 5.6037 -0.4549 1.3579 13 7 5.4779 -1.5984 0.7848 14 6 4.2061 -1.8914 0.6490 15 7 3.6817 -3.0395 0.0767 16 6 2.7323 -2.7076 -0.9933 17 6 2.2858 -3.9910 -1.6971 18 6 1.6280 -4.9243 -0.6769 19 6 2.6212 -5.2155 0.4515 20 1 3.4927 -5.7290 0.0456 21 6 1.9621 -6.0867 1.4895 22 1 1.8666 -5.7366 2.5067 23 6 1.4810 -7.3309 1.1406 24 7 1.5976 -7.7574 -0.0979 25 14 0.6633 -8.4105 2.4273 26 1 0.6576 -7.7053 3.7341 27 1 -0.7333 -8.7009 2.0147 28 1 1.4165 -9.6840 2.5558 29 6 3.0580 -3.8965 1.0930 30 1 -0.3634 0.5139 0.8899 31 1 -0.3633 0.5138 -0.8900 32 1 -0.3634 -1.0277 -0.0005 33 1 1.8934 -0.5139 -0.8899 34 1 1.6417 1.9687 -0.8675 35 1 1.7125 1.9436 0.9109 36 1 3.1291 1.4428 -0.0434 37 1 1.5888 -1.7119 1.3066 38 1 1.7701 -0.1472 2.1358 39 1 4.8933 2.0996 1.9655 40 1 3.1559 1.7144 2.0027 41 1 3.0807 2.9846 4.2015 42 1 4.0972 2.4437 5.5586 43 1 4.8424 3.2338 4.1481 44 1 2.2928 0.6000 3.9641 45 1 1.8637 -2.2068 -0.5658 46 1 3.2140 -2.0471 -1.7143 47 1 1.5693 -3.7458 -2.4810 48 1 3.1521 -4.4853 -2.1368 49 1 0.7392 -4.4458 -0.2655 50 1 1.3473 -5.8577 -1.1650 51 1 1.2595 -8.6328 -0.3432 52 1 3.7762 -4.0994 1.8874 53 1 2.1879 -3.3901 1.5108 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001646856513.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 04:54:52 Heat of formation + Delta-G solvation = 19.218812 kcal Electronic energy + Delta-G solvation = -31979.770544 eV Core-core repulsion = 28080.390478 eV Total energy + Delta-G solvation = -3899.380066 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.227 amu Computer time = 0.78 seconds Orbital eigenvalues (eV) -42.87021 -38.67522 -38.17281 -36.95442 -34.07874 -33.23284 -32.70107 -31.69058 -30.14279 -29.70784 -27.80827 -27.11270 -26.55483 -25.13190 -23.59303 -22.45368 -21.78581 -21.50001 -20.80862 -19.92934 -18.86840 -17.58774 -16.81664 -16.62215 -16.07082 -15.96208 -15.44829 -15.19131 -14.74467 -14.50124 -14.38626 -14.26567 -13.80001 -13.53043 -13.47952 -13.11707 -12.94961 -12.66597 -12.60961 -12.47863 -12.39393 -12.30634 -12.06103 -11.94119 -11.83197 -11.45322 -11.29421 -11.14195 -11.03128 -10.98587 -10.78466 -10.73260 -10.54386 -10.27939 -10.15876 -9.99320 -9.83796 -9.66672 -9.32177 -8.87962 -8.65394 -8.40613 -8.20153 -6.05207 -4.11858 1.93284 2.53519 3.11079 3.26237 3.35016 3.38409 3.82204 3.97881 4.22822 4.31103 4.39207 4.40714 4.47025 4.60391 4.73612 4.86573 4.90092 5.00847 5.11092 5.17228 5.24770 5.27234 5.30500 5.34098 5.35831 5.41100 5.49240 5.51809 5.61904 5.70405 5.72843 5.78633 5.82101 5.85908 5.88755 5.98618 6.12004 6.14423 6.23762 6.32163 6.49915 6.53910 6.71134 6.83831 6.97944 7.22405 7.31810 7.33599 7.66629 7.69744 7.95009 8.04806 8.34767 8.91242 9.09708 9.53145 11.00958 Molecular weight = 336.23amu Principal moments of inertia in cm(-1) A = 0.012999 B = 0.003656 C = 0.003435 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2153.412691 B = 7657.362725 C = 8148.339722 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.145 4.145 2 C -0.123 4.123 3 C -0.152 4.152 4 C 0.104 3.896 5 N -0.488 5.488 6 C 0.177 3.823 7 C -0.071 4.071 8 C 0.105 3.895 9 H 0.107 0.893 10 C -0.182 4.182 11 O -0.554 6.554 12 N -0.294 5.294 13 N -0.276 5.276 14 C 0.364 3.636 15 N -0.443 5.443 16 C 0.054 3.946 17 C -0.118 4.118 18 C -0.112 4.112 19 C 0.057 3.943 20 H 0.041 0.959 21 C -0.516 4.516 22 H 0.055 0.945 23 C 0.066 3.934 24 N -0.886 5.886 25 Si 0.891 3.109 26 H -0.274 1.274 27 H -0.284 1.284 28 H -0.283 1.283 29 C 0.071 3.929 30 H 0.058 0.942 31 H 0.063 0.937 32 H 0.064 0.936 33 H 0.088 0.912 34 H 0.062 0.938 35 H 0.057 0.943 36 H 0.058 0.942 37 H 0.102 0.898 38 H 0.090 0.910 39 H 0.105 0.895 40 H 0.089 0.911 41 H 0.058 0.942 42 H 0.067 0.933 43 H 0.069 0.931 44 H 0.367 0.633 45 H 0.044 0.956 46 H 0.063 0.937 47 H 0.055 0.945 48 H 0.067 0.933 49 H 0.032 0.968 50 H 0.097 0.903 51 H 0.260 0.740 52 H 0.068 0.932 53 H 0.027 0.973 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.455 22.124 1.654 22.453 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 -0.203 4.203 2 C -0.142 4.142 3 C -0.209 4.209 4 C -0.020 4.020 5 N -0.185 5.185 6 C -0.091 4.091 7 C -0.111 4.111 8 C 0.045 3.955 9 H 0.125 0.875 10 C -0.240 4.240 11 O -0.359 6.359 12 N -0.134 5.134 13 N -0.117 5.117 14 C 0.009 3.991 15 N -0.167 5.167 16 C -0.073 4.073 17 C -0.156 4.156 18 C -0.150 4.150 19 C 0.038 3.962 20 H 0.059 0.941 21 C -0.555 4.555 22 H 0.073 0.927 23 C -0.136 4.136 24 N -0.524 5.524 25 Si 0.719 3.281 26 H -0.198 1.198 27 H -0.210 1.210 28 H -0.209 1.209 29 C -0.054 4.054 30 H 0.077 0.923 31 H 0.082 0.918 32 H 0.083 0.917 33 H 0.106 0.894 34 H 0.081 0.919 35 H 0.076 0.924 36 H 0.077 0.923 37 H 0.120 0.880 38 H 0.109 0.891 39 H 0.123 0.877 40 H 0.107 0.893 41 H 0.077 0.923 42 H 0.086 0.914 43 H 0.088 0.912 44 H 0.213 0.787 45 H 0.062 0.938 46 H 0.082 0.918 47 H 0.073 0.927 48 H 0.086 0.914 49 H 0.050 0.950 50 H 0.115 0.885 51 H 0.070 0.930 52 H 0.087 0.913 53 H 0.045 0.955 Dipole moment (debyes) X Y Z Total from point charges -1.089 21.201 1.496 21.282 hybrid contribution -2.922 0.209 0.770 3.029 sum -4.011 21.410 2.265 21.900 Atomic orbital electron populations 1.21779 0.93293 1.02888 1.02356 1.21748 0.97112 0.96956 0.98369 1.22052 1.01486 0.95388 1.02003 1.22206 0.76748 1.03665 0.99346 1.47452 1.08051 1.17562 1.45404 1.24193 0.86126 0.95625 1.03154 1.21019 1.04286 0.90353 0.95416 1.21988 0.92655 0.90383 0.90494 0.87500 1.22474 1.02488 0.97004 1.02008 1.86739 1.17523 1.51941 1.79719 1.74084 1.19988 1.04329 1.15030 1.74500 1.12548 1.07750 1.16882 1.23510 0.89144 0.87961 0.98469 1.59281 1.37791 1.08056 1.11617 1.22521 0.92932 0.99170 0.92656 1.21719 1.00519 0.94889 0.98430 1.21706 0.97509 0.99267 0.96494 1.18706 0.95393 0.88651 0.93486 0.94108 1.21086 1.38384 1.00700 0.95330 0.92698 1.24906 0.95855 0.97563 0.95293 1.69883 1.46386 1.19269 1.16887 0.86551 0.79063 0.80627 0.81852 1.19827 1.21045 1.20918 1.22578 0.95735 0.94771 0.92334 0.92294 0.91783 0.91711 0.89416 0.91937 0.92377 0.92299 0.88029 0.89140 0.87707 0.89282 0.92318 0.91363 0.91169 0.78666 0.93841 0.91819 0.92670 0.91402 0.94962 0.88501 0.92957 0.91309 0.95463 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 -0.15 -1.12 9.19 37.16 0.34 -0.78 16 2 C -0.12 -1.14 2.39 -90.62 -0.22 -1.36 16 3 C -0.15 -1.18 7.59 37.16 0.28 -0.90 16 4 C 0.10 1.16 4.32 -4.04 -0.02 1.15 16 5 N -0.49 -7.10 2.66 -114.08 -0.30 -7.41 16 6 C 0.18 2.51 5.91 -154.02 -0.91 1.60 16 7 C -0.07 -0.64 4.43 -27.88 -0.12 -0.76 16 8 C 0.10 0.95 3.58 -26.74 -0.10 0.86 16 9 H 0.11 1.19 8.14 -51.93 -0.42 0.77 16 10 C -0.18 -1.12 9.56 37.15 0.36 -0.76 16 11 O -0.55 -5.90 12.87 -35.23 -0.45 -6.35 16 12 N -0.29 -5.35 12.18 32.99 0.40 -4.95 16 13 N -0.28 -5.70 12.23 30.31 0.37 -5.33 16 14 C 0.36 6.79 6.66 -318.88 -2.12 4.66 16 15 N -0.44 -8.59 4.70 -174.55 -0.82 -9.41 16 16 C 0.05 0.90 4.01 -3.84 -0.02 0.89 16 17 C -0.12 -2.13 6.09 -26.65 -0.16 -2.29 16 18 C -0.11 -2.45 5.02 -26.61 -0.13 -2.58 16 19 C 0.06 1.37 2.26 -91.69 -0.21 1.16 16 20 H 0.04 1.11 8.14 -51.93 -0.42 0.69 16 21 C -0.52 -13.69 8.57 -34.44 -0.29 -13.99 16 22 H 0.05 1.45 7.75 -52.48 -0.41 1.05 16 23 C 0.07 1.76 5.30 -17.82 -0.09 1.66 16 24 N -0.89 -24.45 11.35 55.43 0.63 -23.82 16 25 Si 0.89 20.79 29.54 -169.99 -5.02 15.77 16 26 H -0.27 -6.34 7.11 56.52 0.40 -5.94 16 27 H -0.28 -6.55 7.11 56.52 0.40 -6.15 16 28 H -0.28 -6.64 7.11 56.52 0.40 -6.24 16 29 C 0.07 1.51 4.48 -3.83 -0.02 1.50 16 30 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 31 H 0.06 0.45 8.14 -51.93 -0.42 0.02 16 32 H 0.06 0.57 8.14 -51.93 -0.42 0.14 16 33 H 0.09 0.99 5.52 -51.93 -0.29 0.70 16 34 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 35 H 0.06 0.34 6.88 -51.93 -0.36 -0.02 16 36 H 0.06 0.56 6.00 -51.93 -0.31 0.25 16 37 H 0.10 1.34 4.92 -51.93 -0.26 1.08 16 38 H 0.09 0.78 6.28 -51.93 -0.33 0.46 16 39 H 0.10 0.83 8.14 -51.93 -0.42 0.41 16 40 H 0.09 0.60 4.56 -51.93 -0.24 0.36 16 41 H 0.06 0.28 8.14 -51.93 -0.42 -0.14 16 42 H 0.07 0.45 8.14 -51.92 -0.42 0.03 16 43 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 44 H 0.37 2.51 7.78 45.56 0.35 2.86 16 45 H 0.04 0.65 3.99 -51.93 -0.21 0.44 16 46 H 0.06 1.01 7.92 -51.93 -0.41 0.60 16 47 H 0.05 0.86 8.14 -51.93 -0.42 0.44 16 48 H 0.07 1.31 8.14 -51.93 -0.42 0.89 16 49 H 0.03 0.68 8.14 -51.93 -0.42 0.26 16 50 H 0.10 2.40 6.15 -51.92 -0.32 2.09 16 51 H 0.26 6.87 8.31 -40.82 -0.34 6.53 16 52 H 0.07 1.57 8.10 -51.93 -0.42 1.15 16 53 H 0.03 0.55 5.94 -51.93 -0.31 0.24 16 LS Contribution 392.15 15.07 5.91 5.91 Total: -1.00 -31.82 392.15 -10.84 -42.67 By element: Atomic # 1 Polarization: 10.99 SS G_CDS: -8.12 Total: 2.87 kcal Atomic # 6 Polarization: -6.51 SS G_CDS: -3.43 Total: -9.95 kcal Atomic # 7 Polarization: -51.20 SS G_CDS: 0.28 Total: -50.92 kcal Atomic # 8 Polarization: -5.90 SS G_CDS: -0.45 Total: -6.35 kcal Atomic # 14 Polarization: 20.79 SS G_CDS: -5.02 Total: 15.77 kcal Total LS contribution 5.91 Total: 5.91 kcal Total: -31.82 -10.84 -42.67 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. ZINC001646856513.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 61.886 kcal (2) G-P(sol) polarization free energy of solvation -31.823 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 30.063 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.844 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.667 kcal (6) G-S(sol) free energy of system = (1) + (5) 19.219 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.78 seconds