Wall clock time and date at job start Sat Apr 11 2020 06:11:37 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 1.53006 * 1 3 3 C 1.53003 * 109.46973 * 2 1 4 4 C 1.50696 * 109.47078 * 240.00453 * 2 1 3 5 5 H 1.08003 * 120.00076 * 240.00070 * 4 2 1 6 6 C 1.37882 * 120.00149 * 59.99793 * 4 2 1 7 7 N 1.31513 * 119.99965 * 359.97438 * 6 4 2 8 8 Si 1.86799 * 120.00032 * 180.02562 * 6 4 2 9 9 H 1.48501 * 109.47323 * 89.99725 * 8 6 4 10 10 H 1.48503 * 109.46856 * 209.99674 * 8 6 4 11 11 H 1.48503 * 109.46969 * 329.99445 * 8 6 4 12 12 C 1.52994 * 109.47517 * 120.00083 * 2 1 3 13 13 N 1.46508 * 109.47215 * 300.00474 * 12 2 1 14 14 C 1.34777 * 119.99894 * 180.02562 * 13 12 2 15 15 O 1.21586 * 120.00056 * 5.06633 * 14 13 12 16 16 N 1.34773 * 119.99690 * 185.07100 * 14 13 12 17 17 C 1.46924 * 120.64350 * 174.96396 * 16 14 13 18 18 C 1.53191 * 108.77398 * 233.67139 * 17 16 14 19 19 C 1.53034 * 109.33519 * 305.37355 * 18 17 16 20 20 C 1.53017 * 109.56842 * 61.28405 * 19 18 17 21 21 C 1.46931 * 120.64332 * 354.97525 * 16 14 13 22 22 C 1.53089 * 109.38563 * 181.24485 * 19 18 17 23 23 C 1.53169 * 109.23497 * 177.50522 * 22 19 18 24 24 H 1.08998 * 109.54842 * 62.95588 * 23 22 19 25 25 O 1.42900 * 109.54410 * 183.13791 * 23 22 19 26 26 C 1.53188 * 109.03146 * 303.00193 * 23 22 19 27 27 C 1.53095 * 109.14116 * 57.01799 * 26 23 22 28 28 O 1.42899 * 109.42366 * 302.36602 * 27 26 23 29 29 H 1.09000 * 109.46843 * 299.99588 * 1 2 3 30 30 H 1.08994 * 109.47502 * 59.99637 * 1 2 3 31 31 H 1.09002 * 109.46767 * 179.97438 * 1 2 3 32 32 H 1.08996 * 109.47209 * 180.02562 * 3 2 1 33 33 H 1.08994 * 109.47303 * 300.00484 * 3 2 1 34 34 H 1.09007 * 109.46924 * 60.00142 * 3 2 1 35 35 H 0.96997 * 120.00125 * 179.97438 * 7 6 4 36 36 H 1.08998 * 109.47654 * 180.02562 * 12 2 1 37 37 H 1.09000 * 109.47063 * 59.99623 * 12 2 1 38 38 H 0.97000 * 119.99561 * 359.97438 * 13 12 2 39 39 H 1.08999 * 109.58838 * 113.87942 * 17 16 14 40 40 H 1.09004 * 109.58648 * 353.45362 * 17 16 14 41 41 H 1.08998 * 109.49025 * 185.41423 * 18 17 16 42 42 H 1.08999 * 109.51774 * 65.34690 * 18 17 16 43 43 H 1.08998 * 109.49073 * 58.68244 * 20 19 18 44 44 H 1.08997 * 109.49010 * 178.76108 * 20 19 18 45 45 H 1.08992 * 109.59424 * 246.12383 * 21 16 14 46 46 H 1.08995 * 109.58723 * 6.41461 * 21 16 14 47 47 H 1.09003 * 109.51783 * 57.56232 * 22 19 18 48 48 H 1.09002 * 109.51692 * 297.44844 * 22 19 18 49 49 H 0.96703 * 113.99835 * 180.02562 * 25 23 22 50 50 H 1.09000 * 109.52324 * 176.91638 * 26 23 22 51 51 H 1.09001 * 109.52633 * 297.05212 * 26 23 22 52 52 H 1.09007 * 109.47625 * 62.35263 * 27 26 23 53 53 H 1.08997 * 109.47761 * 182.37455 * 27 26 23 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 1.5301 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 2.0324 -0.7103 -1.2305 5 1 2.6533 -1.5884 -1.1315 6 6 1.6992 -0.2392 -2.4828 7 7 0.9427 0.8298 -2.6034 8 14 2.3213 -1.1201 -4.0080 9 1 1.3428 -2.1615 -4.4120 10 1 2.4864 -0.1410 -5.1123 11 1 3.6294 -1.7580 -3.7123 12 6 2.0401 -0.7212 1.2492 13 7 1.5517 -0.0307 2.4454 14 6 1.8779 -0.4909 3.6695 15 8 2.6511 -1.4224 3.7827 16 7 1.3468 0.0814 4.7681 17 6 1.6048 -0.4769 6.1024 18 6 0.2641 -0.7273 6.7998 19 6 -0.5526 0.5669 6.8073 20 6 -0.8303 1.0060 5.3680 21 6 0.4982 1.2755 4.6545 22 6 -1.8798 0.3260 7.5314 23 6 -2.6671 1.6385 7.5917 24 1 -2.9083 1.9658 6.5804 25 8 -3.8742 1.4383 8.3299 26 6 -1.8119 2.7026 8.2865 27 6 -0.4882 2.8538 7.5324 28 8 0.1791 1.5911 7.4859 29 1 -0.3633 0.5138 0.8900 30 1 -0.3634 0.5138 -0.8899 31 1 -0.3633 -1.0277 -0.0005 32 1 3.1300 1.4426 -0.0005 33 1 1.6766 1.9564 -0.8899 34 1 1.6767 1.9564 0.8901 35 1 0.7087 1.1614 -3.4843 36 1 3.1301 -0.7208 1.2494 37 1 1.6768 -1.7489 1.2492 38 1 0.9943 0.7581 2.3564 39 1 2.1943 0.2298 6.6865 40 1 2.1479 -1.4172 6.0063 41 1 0.4424 -1.0509 7.8253 42 1 -0.2859 -1.5014 6.2646 43 1 -1.3707 0.2170 4.8449 44 1 -1.4307 1.9157 5.3748 45 1 0.9977 2.1245 5.1210 46 1 0.3128 1.4933 3.6028 47 1 -1.6834 -0.0277 8.5436 48 1 -2.4593 -0.4219 6.9903 49 1 -4.4236 2.2303 8.4077 50 1 -2.3428 3.6546 8.2850 51 1 -1.6142 2.3973 9.3140 52 1 -0.6855 3.1983 6.5172 53 1 0.1421 3.5794 8.0464 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 ZINC001650034256.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 06:11:37 Heat of formation + Delta-G solvation = -126.361528 kcal Electronic energy + Delta-G solvation = -31929.685893 eV Core-core repulsion = 27801.244187 eV Total energy + Delta-G solvation = -4128.441706 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.94 seconds Orbital eigenvalues (eV) -41.08910 -39.56158 -37.41218 -36.56212 -35.82015 -33.54918 -32.92543 -32.29100 -31.21151 -30.63093 -28.78700 -25.72131 -25.66594 -25.10022 -24.41141 -23.64386 -23.62755 -21.48924 -19.94389 -19.32329 -18.87837 -18.11602 -17.71517 -16.41475 -16.06192 -15.88465 -15.70747 -15.31770 -15.22070 -14.88945 -14.76767 -14.38672 -13.99233 -13.93806 -13.69382 -13.57100 -13.15344 -12.88146 -12.83862 -12.62428 -12.41705 -12.25003 -12.10754 -12.04684 -11.59941 -11.40834 -11.32721 -11.22667 -11.18277 -11.02777 -10.85433 -10.68205 -10.53898 -10.37512 -10.19059 -10.13847 -9.83460 -9.67244 -9.61963 -9.28145 -8.78178 -8.62958 -8.38960 -8.08105 -6.01400 -4.11001 2.98551 3.29064 3.35973 3.36836 3.40655 3.62398 3.69972 4.22664 4.27120 4.29794 4.40037 4.47125 4.53421 4.63585 4.73563 4.87735 4.95748 4.99012 5.15843 5.23220 5.25524 5.27968 5.32620 5.41372 5.44729 5.52799 5.57861 5.64923 5.69578 5.80133 5.85841 5.90042 6.10750 6.23092 6.39093 6.51464 6.65887 6.82040 6.82776 6.92852 6.93913 7.04341 7.12884 7.19424 7.30595 7.41450 7.56521 7.70719 8.01847 8.13299 8.39117 8.46344 8.88957 9.07208 9.54678 11.00121 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020073 B = 0.002501 C = 0.002368 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1394.548256 B =11193.758755 C =11820.475617 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.129 4.129 2 C 0.056 3.944 3 C -0.129 4.129 4 C -0.504 4.504 5 H 0.058 0.942 6 C 0.066 3.934 7 N -0.887 5.887 8 Si 0.893 3.107 9 H -0.281 1.281 10 H -0.287 1.287 11 H -0.274 1.274 12 C 0.149 3.851 13 N -0.734 5.734 14 C 0.702 3.298 15 O -0.598 6.598 16 N -0.633 5.633 17 C 0.136 3.864 18 C -0.118 4.118 19 C 0.126 3.874 20 C -0.164 4.164 21 C 0.119 3.881 22 C -0.135 4.135 23 C 0.102 3.898 24 H 0.060 0.940 25 O -0.566 6.566 26 C -0.188 4.188 27 C 0.059 3.941 28 O -0.364 6.364 29 H 0.003 0.997 30 H 0.085 0.915 31 H 0.026 0.974 32 H 0.027 0.973 33 H 0.085 0.915 34 H 0.004 0.996 35 H 0.259 0.741 36 H 0.053 0.947 37 H 0.051 0.949 38 H 0.392 0.608 39 H 0.069 0.931 40 H 0.093 0.907 41 H 0.082 0.918 42 H 0.082 0.918 43 H 0.082 0.918 44 H 0.078 0.922 45 H 0.070 0.930 46 H 0.080 0.920 47 H 0.080 0.920 48 H 0.080 0.920 49 H 0.378 0.622 50 H 0.074 0.926 51 H 0.079 0.921 52 H 0.056 0.944 53 H 0.097 0.903 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -8.365 6.658 21.592 24.094 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 -0.186 4.186 2 C 0.056 3.944 3 C -0.187 4.187 4 C -0.543 4.543 5 H 0.076 0.924 6 C -0.135 4.135 7 N -0.526 5.526 8 Si 0.721 3.279 9 H -0.207 1.207 10 H -0.213 1.213 11 H -0.199 1.199 12 C 0.026 3.974 13 N -0.391 5.391 14 C 0.403 3.597 15 O -0.477 6.477 16 N -0.372 5.372 17 C 0.013 3.987 18 C -0.156 4.156 19 C 0.087 3.913 20 C -0.202 4.202 21 C -0.005 4.005 22 C -0.173 4.173 23 C 0.043 3.957 24 H 0.078 0.922 25 O -0.372 6.372 26 C -0.226 4.226 27 C -0.018 4.018 28 O -0.283 6.283 29 H 0.022 0.978 30 H 0.104 0.896 31 H 0.045 0.955 32 H 0.046 0.954 33 H 0.104 0.896 34 H 0.023 0.977 35 H 0.069 0.931 36 H 0.071 0.929 37 H 0.069 0.931 38 H 0.229 0.771 39 H 0.087 0.913 40 H 0.112 0.888 41 H 0.101 0.899 42 H 0.101 0.899 43 H 0.101 0.899 44 H 0.096 0.904 45 H 0.088 0.912 46 H 0.098 0.902 47 H 0.098 0.902 48 H 0.099 0.901 49 H 0.225 0.775 50 H 0.093 0.907 51 H 0.098 0.902 52 H 0.074 0.926 53 H 0.115 0.885 Dipole moment (debyes) X Y Z Total from point charges -7.441 5.418 21.593 23.473 hybrid contribution -0.645 0.762 -0.996 1.410 sum -8.086 6.180 20.597 22.974 Atomic orbital electron populations 1.21813 0.97849 0.99120 0.99850 1.18355 0.92721 0.92762 0.90605 1.21817 0.98656 0.98372 0.99861 1.20994 1.31365 1.12058 0.89853 0.92393 1.24877 0.94892 0.94921 0.98836 1.69802 1.36796 1.22796 1.23176 0.86571 0.79347 0.79376 0.82577 1.20734 1.21297 1.19885 1.21584 0.98019 0.95291 0.82481 1.45685 1.55682 1.33078 1.04640 1.15977 0.80814 0.82248 0.80640 1.90866 1.39191 1.31928 1.85681 1.47225 1.53475 1.30614 1.05881 1.21282 0.95716 1.00291 0.81434 1.21952 0.96970 0.94742 1.01980 1.21395 0.90484 0.89049 0.90382 1.22603 0.98422 1.03034 0.96173 1.21445 0.90187 0.88223 1.00638 1.22160 0.95473 0.97023 1.02612 1.21885 0.84451 0.95373 0.93998 0.92221 1.86533 1.33941 1.39652 1.77042 1.22956 0.97912 0.99871 1.01872 1.22530 0.93095 0.86442 0.99684 1.88018 1.44311 1.19098 1.76909 0.97765 0.89648 0.95459 0.95388 0.89640 0.97738 0.93052 0.92903 0.93076 0.77058 0.91267 0.88849 0.89915 0.89930 0.89904 0.90361 0.91198 0.90200 0.90176 0.90107 0.77517 0.90748 0.90215 0.92571 0.88525 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 -0.13 -2.89 8.08 37.16 0.30 -2.59 16 2 C 0.06 1.31 0.50 -155.66 -0.08 1.23 16 3 C -0.13 -2.93 8.08 37.16 0.30 -2.63 16 4 C -0.50 -13.25 8.01 -34.44 -0.28 -13.53 16 5 H 0.06 1.54 7.74 -52.48 -0.41 1.14 16 6 C 0.07 1.73 5.15 -17.82 -0.09 1.64 16 7 N -0.89 -23.56 9.35 55.43 0.52 -23.04 16 8 Si 0.89 20.76 29.54 -169.99 -5.02 15.74 16 9 H -0.28 -6.53 7.11 56.52 0.40 -6.13 16 10 H -0.29 -6.65 7.11 56.52 0.40 -6.24 16 11 H -0.27 -6.39 7.11 56.52 0.40 -5.98 16 12 C 0.15 3.26 4.51 -4.04 -0.02 3.24 16 13 N -0.73 -13.65 4.87 -65.22 -0.32 -13.96 16 14 C 0.70 13.03 8.30 -86.92 -0.72 12.31 16 15 O -0.60 -13.30 15.79 5.29 0.08 -13.22 16 16 N -0.63 -9.01 2.97 -178.50 -0.53 -9.54 16 17 C 0.14 1.69 6.18 -3.71 -0.02 1.67 16 18 C -0.12 -1.17 5.11 -26.61 -0.14 -1.30 16 19 C 0.13 1.15 0.68 -90.55 -0.06 1.09 16 20 C -0.16 -1.51 4.20 -26.62 -0.11 -1.62 16 21 C 0.12 1.34 6.20 -3.71 -0.02 1.32 16 22 C -0.13 -1.15 4.56 -26.60 -0.12 -1.27 16 23 C 0.10 0.75 3.25 -26.55 -0.09 0.67 16 24 H 0.06 0.41 6.60 -51.93 -0.34 0.07 16 25 O -0.57 -4.50 13.33 -35.23 -0.47 -4.97 16 26 C -0.19 -1.18 5.77 -26.58 -0.15 -1.33 16 27 C 0.06 0.41 6.52 37.21 0.24 0.66 16 28 O -0.36 -3.44 9.00 -35.23 -0.32 -3.76 16 29 H 0.00 0.07 6.86 -51.93 -0.36 -0.29 16 30 H 0.08 2.12 6.07 -51.93 -0.32 1.80 16 31 H 0.03 0.61 8.14 -51.93 -0.42 0.18 16 32 H 0.03 0.63 8.14 -51.93 -0.42 0.21 16 33 H 0.08 2.13 6.07 -51.93 -0.32 1.81 16 34 H 0.00 0.07 6.86 -51.92 -0.36 -0.28 16 35 H 0.26 6.66 8.31 -40.82 -0.34 6.32 16 36 H 0.05 1.22 8.14 -51.93 -0.42 0.80 16 37 H 0.05 1.17 8.14 -51.93 -0.42 0.75 16 38 H 0.39 6.59 3.62 -40.82 -0.15 6.44 16 39 H 0.07 0.83 7.82 -51.93 -0.41 0.43 16 40 H 0.09 1.31 7.04 -51.93 -0.37 0.94 16 41 H 0.08 0.71 8.14 -51.93 -0.42 0.29 16 42 H 0.08 0.84 8.14 -51.93 -0.42 0.42 16 43 H 0.08 0.82 8.14 -51.93 -0.42 0.40 16 44 H 0.08 0.59 4.99 -51.93 -0.26 0.33 16 45 H 0.07 0.74 7.82 -51.93 -0.41 0.33 16 46 H 0.08 0.92 5.56 -51.93 -0.29 0.63 16 47 H 0.08 0.73 8.14 -51.93 -0.42 0.31 16 48 H 0.08 0.71 8.14 -51.93 -0.42 0.29 16 49 H 0.38 1.40 9.09 45.56 0.41 1.82 16 50 H 0.07 0.33 8.14 -51.93 -0.42 -0.09 16 51 H 0.08 0.57 8.14 -51.93 -0.42 0.15 16 52 H 0.06 0.36 6.38 -51.93 -0.33 0.03 16 53 H 0.10 0.57 8.14 -51.93 -0.42 0.15 16 LS Contribution 389.79 15.07 5.87 5.87 Total: -1.00 -30.99 389.79 -9.33 -40.32 By element: Atomic # 1 Polarization: 15.10 SS G_CDS: -8.09 Total: 7.01 kcal Atomic # 6 Polarization: 0.60 SS G_CDS: -1.06 Total: -0.46 kcal Atomic # 7 Polarization: -46.22 SS G_CDS: -0.33 Total: -46.54 kcal Atomic # 8 Polarization: -21.24 SS G_CDS: -0.70 Total: -21.94 kcal Atomic # 14 Polarization: 20.76 SS G_CDS: -5.02 Total: 15.74 kcal Total LS contribution 5.87 Total: 5.87 kcal Total: -30.99 -9.33 -40.32 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. ZINC001650034256.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 -86.046 kcal (2) G-P(sol) polarization free energy of solvation -30.986 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -117.032 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.329 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.316 kcal (6) G-S(sol) free energy of system = (1) + (5) -126.362 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.94 seconds