Wall clock time and date at job start Sat Apr 11 2020 06:11:25 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 1.52999 * 1 3 3 H 1.09005 * 109.47376 * 2 1 4 4 C 1.53007 * 109.47238 * 240.00118 * 2 1 3 5 5 N 1.46496 * 109.46865 * 64.99973 * 4 2 1 6 6 C 1.46505 * 119.99919 * 269.99808 * 5 4 2 7 7 C 1.34777 * 120.00058 * 90.00501 * 5 4 2 8 8 O 1.21517 * 120.00012 * 359.97438 * 7 5 4 9 9 O 1.34638 * 120.00065 * 179.72248 * 7 5 4 10 10 C 1.45200 * 116.99928 * 180.02562 * 9 7 5 11 11 C 1.52997 * 109.47446 * 59.99762 * 10 9 7 12 12 C 1.53002 * 109.47044 * 179.97438 * 10 9 7 13 13 C 1.52998 * 109.47012 * 299.99633 * 10 9 7 14 14 C 1.50699 * 109.47501 * 120.00226 * 2 1 3 15 15 O 1.21277 * 120.00486 * 93.09086 * 14 2 1 16 16 N 1.34776 * 119.99794 * 273.10106 * 14 2 1 17 17 C 1.46500 * 120.00040 * 185.57675 * 16 14 2 18 18 C 1.53005 * 109.47261 * 175.81541 * 17 16 14 19 19 C 1.50707 * 115.54440 * 64.25878 * 18 17 16 20 20 H 1.07995 * 119.99879 * 266.86633 * 19 18 17 21 21 C 1.37876 * 119.99856 * 86.87487 * 19 18 17 22 22 N 1.31519 * 119.99685 * 175.92185 * 21 19 18 23 23 Si 1.86806 * 120.00206 * 355.91875 * 21 19 18 24 24 H 1.48497 * 109.46762 * 87.54989 * 23 21 19 25 25 H 1.48500 * 109.46901 * 207.55102 * 23 21 19 26 26 H 1.48501 * 109.46980 * 327.55223 * 23 21 19 27 27 C 1.52996 * 117.50136 * 278.58903 * 18 17 16 28 28 C 1.52998 * 117.50063 * 209.92359 * 18 17 16 29 29 H 1.09001 * 109.46440 * 51.28979 * 1 2 3 30 30 H 1.08994 * 109.47231 * 171.28973 * 1 2 3 31 31 H 1.09000 * 109.46785 * 291.29343 * 1 2 3 32 32 H 1.09005 * 109.46694 * 304.99783 * 4 2 1 33 33 H 1.09002 * 109.47199 * 185.00436 * 4 2 1 34 34 H 1.09000 * 109.47267 * 269.99953 * 6 5 4 35 35 H 1.08992 * 109.46827 * 30.00459 * 6 5 4 36 36 H 1.09003 * 109.46771 * 150.00683 * 6 5 4 37 37 H 1.08998 * 109.47310 * 60.00094 * 11 10 9 38 38 H 1.09001 * 109.47095 * 180.02562 * 11 10 9 39 39 H 1.09004 * 109.46844 * 299.99902 * 11 10 9 40 40 H 1.09001 * 109.47083 * 59.99675 * 12 10 9 41 41 H 1.09001 * 109.47074 * 179.97438 * 12 10 9 42 42 H 1.08998 * 109.47159 * 299.99567 * 12 10 9 43 43 H 1.09004 * 109.47292 * 60.00090 * 13 10 9 44 44 H 1.08992 * 109.47431 * 180.02562 * 13 10 9 45 45 H 1.09001 * 109.47021 * 300.00267 * 13 10 9 46 46 H 0.97004 * 120.00506 * 5.57415 * 16 14 2 47 47 H 1.08994 * 109.47537 * 295.81963 * 17 16 14 48 48 H 1.09006 * 109.46923 * 55.81966 * 17 16 14 49 49 H 0.97000 * 119.99373 * 179.97438 * 22 21 19 50 50 H 1.09001 * 117.49519 * 359.97438 * 27 18 17 51 51 H 1.08997 * 117.50003 * 145.01919 * 27 18 17 52 52 H 1.08993 * 117.50292 * 214.97786 * 28 18 17 53 53 H 1.08999 * 117.49848 * 359.97438 * 28 18 17 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 1 1.8934 1.0277 0.0000 4 6 2.0400 -0.7213 -1.2493 5 7 1.6525 0.0354 -2.4424 6 6 0.3746 -0.2423 -3.1028 7 6 2.4715 0.9869 -2.9325 8 8 3.5313 1.2175 -2.3845 9 8 2.1179 1.6784 -4.0322 10 6 3.0491 2.6876 -4.5041 11 6 4.3864 2.0277 -4.8459 12 6 2.4798 3.3624 -5.7537 13 6 3.2625 3.7359 -3.4103 14 6 2.0324 -0.7104 1.2304 15 8 2.2880 -1.8951 1.1848 16 7 2.1975 -0.0293 2.3816 17 6 2.8001 -0.6885 3.5428 18 6 2.9672 0.3262 4.6757 19 6 1.6875 0.8944 5.2332 20 1 1.2909 1.8188 4.8404 21 6 1.0232 0.2339 6.2449 22 7 -0.0491 0.7693 6.7864 23 14 1.6462 -1.4213 6.8464 24 1 2.6571 -1.2116 7.9137 25 1 0.5107 -2.2104 7.3880 26 1 2.2658 -2.1577 5.7154 27 6 4.1862 1.2493 4.6232 28 6 4.1288 0.1141 5.6486 29 1 -0.3632 0.6427 -0.8019 30 1 -0.3633 -1.0157 -0.1556 31 1 -0.3633 0.3732 0.9575 32 1 1.6054 -1.7198 -1.2952 33 1 3.1264 -0.7995 -1.2056 34 1 0.5171 -1.0126 -3.8607 35 1 -0.3483 -0.5886 -2.3643 36 1 0.0043 0.6677 -3.5749 37 1 4.2345 1.2809 -5.6251 38 1 5.0856 2.7854 -5.1997 39 1 4.7922 1.5467 -3.9558 40 1 1.5269 3.8325 -5.5107 41 1 3.1787 4.1203 -6.1077 42 1 2.3282 2.6154 -6.5328 43 1 3.6682 3.2550 -2.5202 44 1 3.9611 4.4937 -3.7646 45 1 2.3097 4.2061 -3.1668 46 1 1.9174 0.8975 2.4413 47 1 2.1542 -1.5011 3.8752 48 1 3.7757 -1.0894 3.2674 49 1 -0.5166 0.3044 7.4979 50 1 4.8694 1.1334 3.7819 51 1 4.0628 2.2674 4.9923 52 1 3.9678 0.3859 6.6917 53 1 4.7738 -0.7486 5.4818 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 ZINC000496907217.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 06:11:25 Heat of formation + Delta-G solvation = -98.473447 kcal Electronic energy + Delta-G solvation = -31107.393970 eV Core-core repulsion = 26980.161582 eV Total energy + Delta-G solvation = -4127.232388 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.66 seconds Orbital eigenvalues (eV) -41.02663 -39.56277 -37.95233 -37.04579 -35.89033 -34.31845 -33.48434 -32.68598 -32.14088 -28.12481 -27.65525 -27.59743 -26.92582 -26.01726 -25.35038 -23.29406 -21.75737 -21.46407 -19.73352 -19.48770 -19.01326 -17.92531 -17.23510 -16.79443 -16.38992 -16.32587 -15.34720 -15.28634 -15.13969 -14.72113 -14.67042 -14.44604 -14.07531 -13.82856 -13.61523 -13.43984 -13.04693 -12.83902 -12.77463 -12.70084 -12.59205 -12.43147 -12.36600 -12.15493 -12.13848 -11.95357 -11.84166 -11.70459 -11.49865 -11.34639 -11.17196 -11.04236 -10.72175 -10.56442 -10.52610 -10.16407 -10.15277 -9.75321 -9.42164 -9.18147 -8.91265 -8.65522 -8.58987 -8.27484 -6.18008 -4.22417 1.95264 2.68950 3.07050 3.27960 3.37415 3.42179 3.54645 3.84555 4.38340 4.46331 4.50513 4.65148 4.73014 4.83410 4.88612 4.95659 5.08361 5.14103 5.19519 5.24807 5.25072 5.28313 5.42761 5.43874 5.49765 5.52226 5.60122 5.62084 5.68746 5.71765 5.72856 5.75205 5.90363 6.02842 6.06258 6.07151 6.10386 6.16473 6.24507 6.27393 6.31409 6.43827 6.51934 6.71724 6.99404 7.06957 7.12922 7.17789 7.66658 8.14904 8.19687 8.39173 8.73016 8.82127 9.45457 10.93242 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017404 B = 0.002517 C = 0.002414 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1608.430490 B =11121.432789 C =11597.470826 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.143 4.143 2 C -0.127 4.127 3 H 0.094 0.906 4 C 0.152 3.848 5 N -0.596 5.596 6 C 0.078 3.922 7 C 0.649 3.351 8 O -0.563 6.563 9 O -0.363 6.363 10 C 0.135 3.865 11 C -0.183 4.183 12 C -0.140 4.140 13 C -0.184 4.184 14 C 0.517 3.483 15 O -0.559 6.559 16 N -0.699 5.699 17 C 0.153 3.847 18 C -0.017 4.017 19 C -0.491 4.491 20 H 0.078 0.922 21 C 0.081 3.919 22 N -0.895 5.895 23 Si 0.878 3.122 24 H -0.276 1.276 25 H -0.294 1.294 26 H -0.257 1.257 27 C -0.177 4.177 28 C -0.193 4.193 29 H 0.064 0.936 30 H 0.063 0.937 31 H 0.068 0.932 32 H 0.096 0.904 33 H 0.091 0.909 34 H 0.056 0.944 35 H 0.079 0.921 36 H 0.076 0.924 37 H 0.058 0.942 38 H 0.069 0.931 39 H 0.088 0.912 40 H 0.066 0.934 41 H 0.079 0.921 42 H 0.065 0.935 43 H 0.089 0.911 44 H 0.069 0.931 45 H 0.060 0.940 46 H 0.405 0.595 47 H 0.065 0.935 48 H 0.045 0.955 49 H 0.266 0.734 50 H 0.073 0.927 51 H 0.087 0.913 52 H 0.090 0.910 53 H 0.074 0.926 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.524 2.807 -24.267 24.559 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 -0.201 4.201 2 C -0.150 4.150 3 H 0.112 0.888 4 C 0.030 3.970 5 N -0.336 5.336 6 C -0.065 4.065 7 C 0.404 3.596 8 O -0.452 6.452 9 O -0.278 6.278 10 C 0.099 3.901 11 C -0.241 4.241 12 C -0.197 4.197 13 C -0.241 4.241 14 C 0.301 3.699 15 O -0.438 6.438 16 N -0.347 5.347 17 C 0.030 3.970 18 C -0.018 4.018 19 C -0.528 4.528 20 H 0.096 0.904 21 C -0.122 4.122 22 N -0.532 5.532 23 Si 0.705 3.295 24 H -0.202 1.202 25 H -0.220 1.220 26 H -0.181 1.181 27 C -0.214 4.214 28 C -0.231 4.231 29 H 0.083 0.917 30 H 0.082 0.918 31 H 0.087 0.913 32 H 0.114 0.886 33 H 0.109 0.891 34 H 0.075 0.925 35 H 0.098 0.902 36 H 0.095 0.905 37 H 0.077 0.923 38 H 0.088 0.912 39 H 0.107 0.893 40 H 0.085 0.915 41 H 0.098 0.902 42 H 0.084 0.916 43 H 0.108 0.892 44 H 0.088 0.912 45 H 0.079 0.921 46 H 0.240 0.760 47 H 0.083 0.917 48 H 0.063 0.937 49 H 0.075 0.925 50 H 0.091 0.909 51 H 0.106 0.894 52 H 0.109 0.891 53 H 0.092 0.908 Dipole moment (debyes) X Y Z Total from point charges 2.922 2.078 -24.029 24.295 hybrid contribution 0.087 -0.326 0.602 0.690 sum 3.009 1.752 -23.427 23.684 Atomic orbital electron populations 1.21833 0.92523 1.02560 1.03150 1.21660 0.98218 1.01515 0.93587 0.88756 1.21301 1.02033 0.93486 0.80178 1.46698 1.20139 1.37147 1.29606 1.21918 0.84534 1.02163 0.97888 1.18051 0.82786 0.79292 0.79467 1.90923 1.23473 1.68802 1.61963 1.86291 1.49863 1.49423 1.42223 1.22061 0.88103 0.85791 0.94191 1.22516 0.96197 1.01586 1.03758 1.21852 1.02025 1.00449 0.95362 1.22518 1.02646 0.98578 1.00392 1.20243 0.77957 0.87205 0.84455 1.90652 1.52399 1.15357 1.85435 1.45889 1.61281 1.16306 1.11258 1.21205 0.96029 0.95294 0.84502 1.19614 0.90598 0.96640 0.94966 1.20180 1.04420 1.09351 1.18876 0.90414 1.24959 0.94391 0.97394 0.95493 1.69893 1.18977 1.38633 1.25648 0.86893 0.78237 0.84510 0.79812 1.20221 1.22048 1.18137 1.22829 1.02374 0.95750 1.00495 1.22960 1.03493 0.99831 0.96788 0.91687 0.91834 0.91280 0.88593 0.89054 0.92525 0.90188 0.90515 0.92305 0.91205 0.89280 0.91485 0.90195 0.91576 0.89231 0.91189 0.92127 0.75987 0.91670 0.93667 0.92470 0.90861 0.89412 0.89110 0.90786 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 -0.14 -1.66 7.84 37.16 0.29 -1.37 16 2 C -0.13 -1.72 2.92 -91.77 -0.27 -1.98 16 3 H 0.09 1.28 8.14 -51.93 -0.42 0.86 16 4 C 0.15 1.91 4.36 -4.04 -0.02 1.89 16 5 N -0.60 -6.61 2.72 -187.40 -0.51 -7.12 16 6 C 0.08 0.61 9.60 59.85 0.57 1.18 16 7 C 0.65 8.25 7.70 54.06 0.42 8.67 16 8 O -0.56 -8.50 11.46 -19.29 -0.22 -8.72 16 9 O -0.36 -4.01 8.71 -40.32 -0.35 -4.36 16 10 C 0.14 1.26 1.13 -90.62 -0.10 1.16 16 11 C -0.18 -1.70 8.37 37.16 0.31 -1.39 16 12 C -0.14 -0.90 8.85 37.16 0.33 -0.58 16 13 C -0.18 -1.77 8.37 37.16 0.31 -1.46 16 14 C 0.52 9.11 6.90 -10.99 -0.08 9.03 16 15 O -0.56 -11.48 16.23 5.56 0.09 -11.39 16 16 N -0.70 -13.10 5.47 -60.29 -0.33 -13.43 16 17 C 0.15 3.25 5.19 -4.04 -0.02 3.23 16 18 C -0.02 -0.38 0.87 -155.66 -0.14 -0.51 16 19 C -0.49 -12.85 9.14 -34.44 -0.31 -13.16 16 20 H 0.08 2.19 8.06 -52.49 -0.42 1.76 16 21 C 0.08 2.23 5.47 -17.82 -0.10 2.13 16 22 N -0.89 -26.29 13.96 55.43 0.77 -25.52 16 23 Si 0.88 21.36 25.02 -169.99 -4.25 17.10 16 24 H -0.28 -6.58 7.11 56.52 0.40 -6.18 16 25 H -0.29 -7.25 7.11 56.52 0.40 -6.85 16 26 H -0.26 -6.04 5.60 56.52 0.32 -5.73 16 27 C -0.18 -3.47 9.96 -26.69 -0.27 -3.73 16 28 C -0.19 -4.00 7.71 -26.69 -0.21 -4.20 16 29 H 0.06 0.63 6.66 -51.93 -0.35 0.28 16 30 H 0.06 0.71 7.97 -51.93 -0.41 0.29 16 31 H 0.07 0.88 8.12 -51.93 -0.42 0.46 16 32 H 0.10 1.14 7.94 -51.93 -0.41 0.72 16 33 H 0.09 1.32 7.42 -51.93 -0.39 0.94 16 34 H 0.06 0.39 8.14 -51.93 -0.42 -0.03 16 35 H 0.08 0.55 6.02 -51.93 -0.31 0.23 16 36 H 0.08 0.56 7.38 -51.93 -0.38 0.18 16 37 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 38 H 0.07 0.52 8.14 -51.93 -0.42 0.09 16 39 H 0.09 1.06 5.87 -51.93 -0.30 0.76 16 40 H 0.07 0.42 8.14 -51.93 -0.42 -0.01 16 41 H 0.08 0.39 8.14 -51.93 -0.42 -0.03 16 42 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 43 H 0.09 1.10 5.89 -51.93 -0.31 0.80 16 44 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 45 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 46 H 0.41 7.20 8.31 -40.82 -0.34 6.86 16 47 H 0.07 1.53 6.30 -51.93 -0.33 1.20 16 48 H 0.05 0.93 8.10 -51.93 -0.42 0.51 16 49 H 0.27 7.39 8.31 -40.82 -0.34 7.06 16 50 H 0.07 1.30 8.14 -51.93 -0.42 0.88 16 51 H 0.09 1.72 8.14 -51.93 -0.42 1.30 16 52 H 0.09 1.97 7.43 -51.93 -0.39 1.59 16 53 H 0.07 1.40 8.14 -51.93 -0.42 0.98 16 LS Contribution 415.27 15.07 6.26 6.26 Total: -1.00 -31.74 415.27 -7.29 -39.02 By element: Atomic # 1 Polarization: 18.72 SS G_CDS: -9.47 Total: 9.25 kcal Atomic # 6 Polarization: -1.82 SS G_CDS: 0.73 Total: -1.09 kcal Atomic # 7 Polarization: -46.00 SS G_CDS: -0.07 Total: -46.07 kcal Atomic # 8 Polarization: -24.00 SS G_CDS: -0.48 Total: -24.48 kcal Atomic # 14 Polarization: 21.36 SS G_CDS: -4.25 Total: 17.10 kcal Total LS contribution 6.26 Total: 6.26 kcal Total: -31.74 -7.29 -39.02 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. ZINC000496907217.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 -59.450 kcal (2) G-P(sol) polarization free energy of solvation -31.736 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -91.185 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.288 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.024 kcal (6) G-S(sol) free energy of system = (1) + (5) -98.473 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.67 seconds