Wall clock time and date at job start Sun Mar 7 2021 06:26:51 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 N 1.46896 * 1 3 3 H 1.00904 * 109.47303 * 2 1 4 4 C 1.46895 * 109.47290 * 120.00538 * 2 1 3 5 5 C 1.46905 * 109.46899 * 240.00502 * 2 1 3 6 6 C 1.53002 * 109.47056 * 175.00010 * 5 2 1 7 7 H 1.09004 * 112.84739 * 316.19329 * 6 5 2 8 8 C 1.53783 * 113.69121 * 87.46421 * 6 5 2 9 9 C 1.53770 * 87.08116 * 139.99283 * 8 6 5 10 10 H 1.09001 * 113.69749 * 89.12774 * 9 8 6 11 11 N 1.46504 * 113.61603 * 220.01475 * 9 8 6 12 12 C 1.34769 * 120.00376 * 252.49853 * 11 9 8 13 13 O 1.21629 * 120.00056 * 359.97438 * 12 11 9 14 14 C 1.47271 * 119.99940 * 179.97438 * 12 11 9 15 15 C 1.36338 * 126.96666 * 179.97438 * 14 12 11 16 16 C 1.50995 * 126.79335 * 0.05904 * 15 14 12 17 17 C 1.53392 * 108.25372 * 164.33896 * 16 15 14 18 18 C 1.53153 * 109.04510 * 48.45534 * 17 16 15 19 19 C 1.53125 * 109.52496 * 290.42670 * 18 17 16 20 20 N 1.35214 * 108.65688 * 180.02562 * 15 14 12 21 21 C 1.36425 * 109.89951 * 359.96349 * 20 15 14 22 22 C 1.50698 * 125.49132 * 180.29364 * 21 20 15 23 23 O 1.42911 * 109.47005 * 329.71794 * 22 21 20 24 24 Si 1.86299 * 109.47342 * 209.71811 * 22 21 20 25 25 C 1.34495 * 109.01225 * 0.02920 * 21 20 15 26 26 C 1.53780 * 87.08532 * 334.56558 * 9 8 6 27 27 H 1.08994 * 109.47290 * 179.97438 * 1 2 3 28 28 H 1.09003 * 109.46920 * 299.99606 * 1 2 3 29 29 H 1.09002 * 109.47245 * 59.99812 * 1 2 3 30 30 H 1.09003 * 109.47022 * 299.99794 * 4 2 1 31 31 H 1.09003 * 109.47682 * 59.99754 * 4 2 1 32 32 H 1.09003 * 109.47274 * 180.02562 * 4 2 1 33 33 H 1.09001 * 109.47296 * 54.99948 * 5 2 1 34 34 H 1.09000 * 109.46606 * 294.99485 * 5 2 1 35 35 H 1.09000 * 113.61376 * 25.43674 * 8 6 5 36 36 H 1.08999 * 113.61205 * 254.54032 * 8 6 5 37 37 H 0.97000 * 119.99536 * 72.49810 * 11 9 8 38 38 H 1.09004 * 109.70599 * 284.02906 * 16 15 14 39 39 H 1.09003 * 109.70724 * 44.60347 * 16 15 14 40 40 H 1.09007 * 109.54015 * 168.32797 * 17 16 15 41 41 H 1.09002 * 109.54352 * 288.49682 * 17 16 15 42 42 H 1.09006 * 109.46577 * 50.44832 * 18 17 16 43 43 H 1.09009 * 109.46188 * 170.40582 * 18 17 16 44 44 H 1.09013 * 109.56240 * 170.83617 * 19 18 17 45 45 H 1.08997 * 109.56432 * 291.06133 * 19 18 17 46 46 H 1.08999 * 109.47396 * 89.71480 * 22 21 20 47 47 H 0.96697 * 113.99608 * 179.97438 * 23 22 21 48 48 H 1.48497 * 109.99923 * 298.68273 * 24 22 21 49 49 H 1.48506 * 109.99923 * 59.99881 * 24 22 21 50 50 H 1.08000 * 126.81444 * 180.02562 * 25 21 20 51 51 H 1.08999 * 113.61899 * 139.97780 * 26 9 8 52 52 H 1.08996 * 113.61434 * 270.88589 * 26 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 7 1.4690 0.0000 0.0000 3 1 1.8053 0.9513 0.0000 4 6 1.9586 -0.6926 1.1993 5 6 1.9586 -0.6924 -1.1995 6 6 3.4834 -0.5845 -1.2640 7 1 3.8472 0.4157 -1.0286 8 6 4.2148 -1.7015 -0.5010 9 6 5.2170 -1.7339 -1.6667 10 1 6.0555 -1.0485 -1.5427 11 7 5.6384 -3.0861 -2.0412 12 6 6.8812 -3.5121 -1.7411 13 8 7.6534 -2.7737 -1.1598 14 6 7.3045 -4.8716 -2.1171 15 6 8.5195 -5.4453 -1.8862 16 6 9.7013 -4.8121 -1.1915 17 6 10.6873 -5.9239 -0.8112 18 6 10.9200 -6.8234 -2.0287 19 6 9.6490 -7.6250 -2.3231 20 7 8.5067 -6.7016 -2.3860 21 6 7.2913 -6.9660 -2.9464 22 6 6.8931 -8.2641 -3.6002 23 8 8.0462 -8.8801 -4.1774 24 14 5.6357 -7.9280 -4.9331 25 6 6.5039 -5.8835 -2.8160 26 6 4.0889 -1.1737 -2.5490 27 1 -0.3633 -1.0276 -0.0005 28 1 -0.3633 0.5138 0.8900 29 1 -0.3634 0.5139 -0.8900 30 1 1.5953 -0.1788 2.0894 31 1 1.5953 -1.7203 1.1993 32 1 3.0487 -0.6922 1.1995 33 1 1.5239 -0.2328 -2.0872 34 1 1.6702 -1.7427 -1.1558 35 1 3.6311 -2.6167 -0.4013 36 1 4.6520 -1.3724 0.4417 37 1 5.0227 -3.6749 -2.5051 38 1 10.1866 -4.1043 -1.8634 39 1 9.3654 -4.2946 -0.2929 40 1 11.6332 -5.4811 -0.4989 41 1 10.2736 -6.5143 0.0063 42 1 11.1695 -6.2077 -2.8929 43 1 11.7421 -7.5089 -1.8220 44 1 9.7553 -8.1402 -3.2779 45 1 9.4862 -8.3553 -1.5305 46 1 6.4613 -8.9299 -2.8529 47 1 7.8639 -9.7223 -4.6163 48 1 4.4189 -7.3165 -4.3409 49 1 6.2123 -7.0214 -5.9583 50 1 5.4846 -5.7798 -3.1575 51 1 4.4245 -0.4184 -3.2597 52 1 3.4709 -1.9445 -3.0093 There are 63 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 63 No. of singly occupied orbitals= 1 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 s_22_16608394_16915396.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sun Mar 7 2021 06:26:51 Heat of formation + Delta-G solvation = 127.077754 kcal Electronic energy + Delta-G solvation = -30009.733303 eV Core-core repulsion = 26096.393340 eV Total energy + Delta-G solvation = -3913.339963 eV No. of doubly occupied orbitals = 63 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 335.212 amu Computer time = 0.83 seconds Orbital eigenvalues (eV) -44.48791 -43.50345 -41.88665 -40.12904 -38.65550 -37.61199 -35.64981 -34.22771 -32.31484 -31.97731 -31.92991 -30.21389 -28.46477 -28.09890 -27.35511 -25.98240 -25.28212 -24.26198 -22.72961 -22.36774 -22.03342 -21.38977 -20.34645 -20.10305 -19.73183 -19.34005 -18.87058 -18.16029 -17.93618 -17.53016 -17.19327 -16.97954 -16.68977 -16.38687 -16.28870 -16.22811 -15.99685 -15.91900 -15.85466 -15.80243 -15.54995 -15.43159 -15.22802 -15.19481 -15.10874 -14.75859 -14.60435 -14.52085 -14.06492 -13.94560 -13.60985 -13.42885 -13.21036 -13.15784 -12.81483 -12.67551 -12.53491 -12.42049 -11.66862 -11.35468 -11.10486 -10.34950 -9.76122 -5.74680 -1.42846 -0.00100 0.23673 0.51133 0.56590 0.63493 0.73351 0.87958 1.02036 1.24913 1.31936 1.38359 1.54066 1.65233 1.69341 1.75096 1.82206 1.89186 2.00754 2.06439 2.22198 2.29364 2.31356 2.33350 2.35356 2.39020 2.83832 2.84416 2.95407 2.99260 3.02243 3.11197 3.11865 3.12180 3.23959 3.33116 3.40710 3.55816 3.57729 3.62553 3.71418 3.77654 3.88147 4.02293 4.11346 4.14553 4.22397 4.32930 4.43889 4.48373 4.51848 4.94655 5.31767 5.47179 5.64247 5.74906 6.47717 Molecular weight = 335.21amu Principal moments of inertia in cm(-1) A = 0.013754 B = 0.002988 C = 0.002586 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2035.253079 B = 9367.428723 C =10823.435314 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.048 4.048 2 N -0.386 5.386 3 H 0.427 0.573 4 C -0.056 4.056 5 C 0.003 3.997 6 C -0.143 4.143 7 H 0.117 0.883 8 C -0.161 4.161 9 C 0.133 3.867 10 H 0.123 0.877 11 N -0.724 5.724 12 C 0.601 3.399 13 O -0.543 6.543 14 C -0.245 4.245 15 C 0.128 3.872 16 C -0.056 4.056 17 C -0.130 4.130 18 C -0.140 4.140 19 C 0.100 3.900 20 N -0.419 5.419 21 C 0.043 3.957 22 C -0.051 4.051 23 O -0.551 6.551 24 Si 0.715 3.285 25 C -0.181 4.181 26 C -0.134 4.134 27 H 0.121 0.879 28 H 0.124 0.876 29 H 0.123 0.877 30 H 0.123 0.877 31 H 0.121 0.879 32 H 0.127 0.873 33 H 0.133 0.867 34 H 0.130 0.870 35 H 0.095 0.905 36 H 0.086 0.914 37 H 0.401 0.599 38 H 0.090 0.910 39 H 0.099 0.901 40 H 0.082 0.918 41 H 0.069 0.931 42 H 0.075 0.925 43 H 0.092 0.908 44 H 0.115 0.885 45 H 0.082 0.918 46 H 0.079 0.921 47 H 0.389 0.611 48 H -0.258 1.258 49 H -0.252 1.252 50 H 0.143 0.857 51 H 0.092 0.908 52 H 0.097 0.903 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -23.030 13.381 6.850 27.502 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 -0.190 4.190 2 N 0.039 4.961 3 H 0.262 0.738 4 C -0.198 4.198 5 C -0.119 4.119 6 C -0.163 4.163 7 H 0.135 0.865 8 C -0.200 4.200 9 C 0.027 3.973 10 H 0.141 0.859 11 N -0.376 5.376 12 C 0.391 3.609 13 O -0.421 6.421 14 C -0.254 4.254 15 C 0.009 3.991 16 C -0.094 4.094 17 C -0.168 4.168 18 C -0.178 4.178 19 C -0.020 4.020 20 N -0.094 5.094 21 C -0.066 4.066 22 C -0.161 4.161 23 O -0.359 6.359 24 Si 0.614 3.386 25 C -0.205 4.205 26 C -0.172 4.172 27 H 0.140 0.860 28 H 0.143 0.857 29 H 0.142 0.858 30 H 0.142 0.858 31 H 0.140 0.860 32 H 0.146 0.854 33 H 0.151 0.849 34 H 0.148 0.852 35 H 0.114 0.886 36 H 0.104 0.896 37 H 0.236 0.764 38 H 0.108 0.892 39 H 0.118 0.882 40 H 0.101 0.899 41 H 0.088 0.912 42 H 0.094 0.906 43 H 0.110 0.890 44 H 0.133 0.867 45 H 0.100 0.900 46 H 0.097 0.903 47 H 0.239 0.761 48 H -0.183 1.183 49 H -0.176 1.176 50 H 0.160 0.840 51 H 0.110 0.890 52 H 0.115 0.885 Dipole moment (debyes) X Y Z Total from point charges -22.471 14.484 7.084 27.658 hybrid contribution -0.096 0.033 0.240 0.261 sum -22.567 14.517 7.324 27.815 Atomic orbital electron populations 1.24134 0.75688 1.09576 1.09579 1.45079 1.16157 1.18926 1.15938 0.73788 1.24320 1.06450 1.02327 0.86665 1.24080 0.98216 1.02392 0.87203 1.22948 0.89927 1.01742 1.01644 0.86474 1.23907 0.98653 0.97722 0.99703 1.22241 0.96014 0.85608 0.93445 0.85901 1.45663 1.15179 1.14904 1.61807 1.17340 0.80795 0.85502 0.77234 1.90787 1.52757 1.56479 1.42061 1.19637 0.95518 0.95250 1.15045 1.20481 0.96166 0.84694 0.97721 1.20548 0.91003 0.97053 1.00799 1.21738 1.00328 0.97017 0.97701 1.21951 0.96726 0.99613 0.99466 1.22355 0.83217 0.91229 1.05228 1.43960 1.11435 1.11573 1.42382 1.19709 0.86684 0.96620 1.03615 1.24479 0.96109 0.92140 1.03332 1.86372 1.32235 1.41249 1.76048 0.95050 0.76082 0.88593 0.78857 1.21516 0.99436 0.92473 1.07061 1.23374 0.97121 1.01202 0.95535 0.86045 0.85712 0.85841 0.85827 0.86040 0.85441 0.84924 0.85230 0.88611 0.89586 0.76409 0.89192 0.88230 0.89947 0.91240 0.90620 0.88993 0.86695 0.89956 0.90341 0.76127 1.18272 1.17614 0.83973 0.88962 0.88494 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 -0.05 1.49 9.19 60.06 0.55 2.05 16 2 N -0.39 12.31 0.66 -251.26 -0.17 12.14 16 3 H 0.43 -14.35 8.41 -39.29 -0.33 -14.68 16 4 C -0.06 1.68 8.57 60.06 0.51 2.19 16 5 C 0.00 -0.08 4.57 -3.82 -0.02 -0.09 16 6 C -0.14 3.62 3.30 -89.80 -0.30 3.33 16 7 H 0.12 -3.06 8.10 -51.93 -0.42 -3.48 16 8 C -0.16 3.46 5.69 -25.92 -0.15 3.31 16 9 C 0.13 -2.20 4.24 -67.12 -0.28 -2.49 16 10 H 0.12 -1.71 7.46 -51.93 -0.39 -2.10 16 11 N -0.72 9.32 5.35 -54.14 -0.29 9.03 16 12 C 0.60 -4.62 7.81 -12.59 -0.10 -4.72 16 13 O -0.54 2.58 14.94 5.25 0.08 2.66 16 14 C -0.25 1.57 6.28 -103.48 -0.65 0.92 16 15 C 0.13 -0.72 6.57 -81.64 -0.54 -1.26 16 16 C -0.06 0.38 5.32 -27.54 -0.15 0.23 16 17 C -0.13 1.06 5.98 -26.45 -0.16 0.90 16 18 C -0.14 1.16 5.92 -26.59 -0.16 1.01 16 19 C 0.10 -0.76 6.21 -3.70 -0.02 -0.78 16 20 N -0.42 2.55 3.11 -107.37 -0.33 2.22 16 21 C 0.04 -0.29 6.18 -81.87 -0.51 -0.79 16 22 C -0.05 0.48 2.99 36.00 0.11 0.59 16 23 O -0.55 5.22 9.98 -35.23 -0.35 4.87 16 24 Si 0.72 -7.50 31.22 -169.99 -5.31 -12.80 16 25 C -0.18 1.36 9.09 -37.47 -0.34 1.02 16 26 C -0.13 2.76 7.39 -25.92 -0.19 2.57 16 27 H 0.12 -3.72 8.14 -51.93 -0.42 -4.14 16 28 H 0.12 -3.87 8.14 -51.93 -0.42 -4.29 16 29 H 0.12 -3.83 8.11 -51.93 -0.42 -4.25 16 30 H 0.12 -3.74 8.14 -51.93 -0.42 -4.17 16 31 H 0.12 -3.61 8.11 -51.93 -0.42 -4.03 16 32 H 0.13 -3.67 5.13 -51.93 -0.27 -3.93 16 33 H 0.13 -3.98 8.09 -51.93 -0.42 -4.40 16 34 H 0.13 -3.81 7.79 -51.93 -0.40 -4.22 16 35 H 0.10 -2.10 7.90 -51.93 -0.41 -2.51 16 36 H 0.09 -1.79 7.19 -51.93 -0.37 -2.17 16 37 H 0.40 -5.86 7.85 -40.82 -0.32 -6.18 16 38 H 0.09 -0.57 8.14 -51.93 -0.42 -0.99 16 39 H 0.10 -0.61 7.40 -51.93 -0.38 -1.00 16 40 H 0.08 -0.72 8.14 -51.93 -0.42 -1.14 16 41 H 0.07 -0.55 8.12 -51.93 -0.42 -0.97 16 42 H 0.08 -0.57 8.11 -51.93 -0.42 -0.99 16 43 H 0.09 -0.87 8.14 -51.92 -0.42 -1.29 16 44 H 0.12 -0.86 5.95 -51.92 -0.31 -1.16 16 45 H 0.08 -0.68 8.14 -51.93 -0.42 -1.10 16 46 H 0.08 -0.85 7.96 -51.93 -0.41 -1.26 16 47 H 0.39 -5.45 8.74 45.56 0.40 -5.05 16 48 H -0.26 2.45 6.88 56.52 0.39 2.83 16 49 H -0.25 1.60 7.11 56.52 0.40 2.00 16 50 H 0.14 -1.43 6.37 -52.49 -0.33 -1.76 16 51 H 0.09 -1.78 8.14 -51.93 -0.42 -2.21 16 52 H 0.10 -2.06 8.08 -51.93 -0.42 -2.47 16 LS Contribution 394.57 15.07 5.95 5.95 Total: 1.00 -37.20 394.57 -11.88 -49.07 By element: Atomic # 1 Polarization: -72.04 SS G_CDS: -9.07 Total: -81.11 kcal Atomic # 6 Polarization: 10.35 SS G_CDS: -2.38 Total: 7.97 kcal Atomic # 7 Polarization: 24.19 SS G_CDS: -0.79 Total: 23.40 kcal Atomic # 8 Polarization: 7.80 SS G_CDS: -0.27 Total: 7.53 kcal Atomic # 14 Polarization: -7.50 SS G_CDS: -5.31 Total: -12.80 kcal Total LS contribution 5.95 Total: 5.95 kcal Total: -37.20 -11.88 -49.07 kcal The number of atoms in the molecule is 52 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. s_22_16608394_16915396.mol2 52 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 176.152 kcal (2) G-P(sol) polarization free energy of solvation -37.198 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 138.954 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.876 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -49.074 kcal (6) G-S(sol) free energy of system = (1) + (5) 127.078 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.83 seconds