Wall clock time and date at job start Tue Mar 31 2020 06:47:33 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 1.50700 * 1 3 3 C 1.38168 * 120.03163 * 2 1 4 4 C 1.38239 * 120.05420 * 180.29943 * 3 2 1 5 5 C 1.38287 * 120.11518 * 359.68046 * 4 3 2 6 6 C 1.38116 * 120.05320 * 359.97438 * 5 4 3 7 7 C 1.38716 * 120.02820 * 179.68207 * 2 1 3 8 8 O 1.35899 * 120.05303 * 359.97438 * 7 2 1 9 9 C 1.42907 * 116.99660 * 179.72716 * 8 7 2 10 10 C 1.53004 * 109.46943 * 179.97438 * 9 8 7 11 11 C 1.53000 * 109.47076 * 179.97438 * 10 9 8 12 12 C 1.50705 * 109.47119 * 179.97438 * 11 10 9 13 13 O 1.21284 * 119.99679 * 359.97438 * 12 11 10 14 14 N 1.34772 * 119.99725 * 179.97438 * 12 11 10 15 15 C 1.46497 * 120.00210 * 0.02562 * 14 12 11 16 16 C 1.50702 * 109.46673 * 252.75285 * 15 14 12 17 17 H 1.08004 * 120.00117 * 234.30133 * 16 15 14 18 18 C 1.37871 * 119.99962 * 54.31212 * 16 15 14 19 19 N 1.31513 * 120.00141 * 4.81880 * 18 16 15 20 20 Si 1.86804 * 119.99918 * 184.82351 * 18 16 15 21 21 H 1.48501 * 109.47023 * 89.99482 * 20 18 16 22 22 H 1.48504 * 109.47070 * 209.99434 * 20 18 16 23 23 H 1.48500 * 109.47235 * 329.99418 * 20 18 16 24 24 C 1.46499 * 119.99801 * 179.97438 * 14 12 11 25 25 C 1.50697 * 109.47535 * 274.73306 * 24 14 12 26 26 C 1.38671 * 120.41651 * 274.86110 * 25 24 14 27 27 C 1.38627 * 118.42102 * 179.78281 * 26 25 24 28 28 C 1.38224 * 119.16103 * 0.51161 * 27 26 25 29 29 N 1.31854 * 120.76429 * 359.72882 * 28 27 26 30 30 C 1.31880 * 121.72389 * 359.97438 * 29 28 27 31 31 H 1.08998 * 109.47191 * 270.31890 * 1 2 3 32 32 H 1.08994 * 109.47260 * 30.32022 * 1 2 3 33 33 H 1.08999 * 109.47177 * 150.31943 * 1 2 3 34 34 H 1.08002 * 119.96878 * 0.02562 * 3 2 1 35 35 H 1.08006 * 119.94149 * 179.70250 * 4 3 2 36 36 H 1.07999 * 119.97259 * 180.02562 * 5 4 3 37 37 H 1.08000 * 120.02413 * 180.02562 * 6 5 4 38 38 H 1.08993 * 109.47213 * 60.00314 * 9 8 7 39 39 H 1.08998 * 109.47398 * 299.99458 * 9 8 7 40 40 H 1.09006 * 109.47201 * 59.99688 * 10 9 8 41 41 H 1.09002 * 109.47173 * 299.99927 * 10 9 8 42 42 H 1.08995 * 109.46875 * 59.99888 * 11 10 9 43 43 H 1.09002 * 109.47085 * 300.00012 * 11 10 9 44 44 H 1.08999 * 109.46879 * 132.75768 * 15 14 12 45 45 H 1.08992 * 109.47472 * 12.75567 * 15 14 12 46 46 H 0.97007 * 120.00110 * 175.00739 * 19 18 16 47 47 H 1.09006 * 109.47094 * 34.73214 * 24 14 12 48 48 H 1.08997 * 109.47591 * 154.72534 * 24 14 12 49 49 H 1.08007 * 120.79129 * 0.02562 * 26 25 24 50 50 H 1.08005 * 120.41945 * 180.22293 * 27 26 25 51 51 H 1.08006 * 119.62110 * 179.74691 * 28 27 26 52 52 H 1.08001 * 119.62014 * 180.02562 * 30 29 28 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 1.5070 0.0000 0.0000 3 6 2.1985 1.1962 0.0000 4 6 3.5809 1.1967 -0.0063 5 6 4.2752 0.0008 -0.0059 6 6 3.5886 -1.1976 0.0013 7 6 2.2012 -1.2010 0.0067 8 8 1.5234 -2.3788 0.0137 9 6 2.3034 -3.5762 0.0143 10 6 1.3732 -4.7909 0.0232 11 6 2.2083 -6.0729 0.0232 12 6 1.2920 -7.2693 0.0327 13 8 0.0894 -7.1121 0.0393 14 7 1.8090 -8.5140 0.0337 15 6 3.2616 -8.7038 0.0263 16 6 3.6974 -9.1909 -1.3316 17 1 4.2791 -10.0967 -1.4194 18 6 3.3539 -8.4801 -2.4619 19 7 2.7283 -7.3287 -2.3499 20 14 3.7768 -9.1526 -4.1526 21 1 2.6575 -9.9956 -4.6443 22 1 3.9971 -8.0247 -5.0931 23 1 5.0121 -9.9722 -4.0646 24 6 0.9183 -9.6770 0.0435 25 6 0.5288 -9.9997 1.4631 26 6 1.3468 -10.7940 2.2523 27 6 0.9506 -11.0608 3.5537 28 6 -0.2434 -10.5389 4.0147 29 7 -0.9987 -9.7913 3.2341 30 6 -0.6505 -9.5121 1.9931 31 1 -0.3633 0.0057 1.0276 32 1 -0.3633 0.8870 -0.5188 33 1 -0.3633 -0.8928 -0.5089 34 1 1.6585 2.1315 0.0004 35 1 4.1196 2.1329 -0.0111 36 1 5.3552 0.0039 -0.0103 37 1 4.1314 -2.1313 0.0021 38 1 2.9362 -3.5972 0.9014 39 1 2.9282 -3.6033 -0.8785 40 1 0.7399 -4.7702 -0.8638 41 1 0.7487 -4.7637 0.9162 42 1 2.8418 -6.0938 0.9099 43 1 2.8325 -6.0998 -0.8700 44 1 3.5356 -9.4403 0.7816 45 1 3.7530 -7.7564 0.2474 46 1 2.5510 -6.7942 -3.1397 47 1 0.0231 -9.4540 -0.5371 48 1 1.4323 -10.5321 -0.3955 49 1 2.2726 -11.1920 1.8636 50 1 1.5649 -11.6727 4.1977 51 1 -0.5612 -10.7455 5.0260 52 1 -1.2950 -8.8959 1.3837 RHF calculation, no. of doubly occupied orbitals= 69 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 ZINC000069324417.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 06:47:33 Heat of formation + Delta-G solvation = -22.905776 kcal Electronic energy + Delta-G solvation = -32850.516975 eV Core-core repulsion = 28586.962035 eV Total energy + Delta-G solvation = -4263.554940 eV No. of doubly occupied orbitals = 69 Molecular weight (most abundant/longest-lived isotopes) = 368.189 amu Computer time = 1.17 seconds Orbital eigenvalues (eV) -40.14987 -39.91368 -38.58097 -37.42594 -35.07861 -33.55728 -32.93219 -32.43957 -31.86022 -31.12191 -29.93600 -27.65292 -27.42665 -26.66697 -25.29377 -23.31740 -22.83281 -22.73055 -21.67134 -21.54643 -20.55063 -18.31730 -17.70595 -16.90722 -16.58518 -16.22479 -16.02534 -15.89367 -15.61736 -15.39979 -15.24198 -14.82332 -14.64400 -14.38987 -14.20304 -13.70448 -13.46870 -13.30773 -13.10950 -13.06195 -12.77759 -12.63831 -12.35092 -12.28190 -12.20347 -11.97091 -11.77344 -11.58982 -11.40768 -11.29637 -11.13325 -11.13085 -10.96869 -10.79616 -10.68704 -10.42679 -10.17857 -9.91836 -9.79569 -9.52006 -9.16161 -8.89963 -8.85486 -8.75975 -8.41201 -8.06056 -7.39074 -6.26525 -4.47732 1.29369 1.41139 1.45221 1.58865 3.12595 3.22615 3.23342 3.33450 3.74316 3.95529 4.03415 4.18185 4.49446 4.76176 4.77151 4.81105 5.01768 5.05208 5.08897 5.23612 5.25097 5.28890 5.30816 5.33034 5.41372 5.44815 5.56826 5.61042 5.65964 5.71252 5.74406 5.84436 5.97354 6.01407 6.10143 6.15213 6.21441 6.29517 6.35614 6.37276 6.44406 6.47141 6.49259 6.51170 6.60107 6.72213 6.80233 6.87397 6.99542 7.04786 7.24891 7.56362 7.58162 7.76468 7.94559 8.28019 8.56711 8.78459 9.25612 9.50643 10.68337 Molecular weight = 368.19amu Principal moments of inertia in cm(-1) A = 0.007849 B = 0.002572 C = 0.002090 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3566.605700 B =10882.008578 C =13396.931431 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.105 4.105 2 C -0.123 4.123 3 C -0.086 4.086 4 C -0.163 4.163 5 C -0.087 4.087 6 C -0.207 4.207 7 C 0.137 3.863 8 O -0.310 6.310 9 C 0.062 3.938 10 C -0.093 4.093 11 C -0.146 4.146 12 C 0.553 3.447 13 O -0.591 6.591 14 N -0.578 5.578 15 C 0.228 3.772 16 C -0.542 4.542 17 H 0.061 0.939 18 C 0.079 3.921 19 N -0.875 5.875 20 Si 0.897 3.103 21 H -0.279 1.279 22 H -0.285 1.285 23 H -0.274 1.274 24 C 0.167 3.833 25 C -0.139 4.139 26 C -0.065 4.065 27 C -0.182 4.182 28 C 0.084 3.916 29 N -0.492 5.492 30 C 0.119 3.881 31 H 0.066 0.934 32 H 0.061 0.939 33 H 0.072 0.928 34 H 0.125 0.875 35 H 0.120 0.880 36 H 0.122 0.878 37 H 0.130 0.870 38 H 0.057 0.943 39 H 0.065 0.935 40 H 0.075 0.925 41 H 0.063 0.937 42 H 0.060 0.940 43 H 0.157 0.843 44 H 0.020 0.980 45 H 0.044 0.956 46 H 0.268 0.732 47 H 0.076 0.924 48 H 0.085 0.915 49 H 0.133 0.867 50 H 0.128 0.872 51 H 0.148 0.852 52 H 0.159 0.841 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.551 7.299 6.623 9.977 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 -0.162 4.162 2 C -0.124 4.124 3 C -0.105 4.105 4 C -0.182 4.182 5 C -0.105 4.105 6 C -0.225 4.225 7 C 0.091 3.909 8 O -0.224 6.224 9 C -0.013 4.013 10 C -0.131 4.131 11 C -0.185 4.185 12 C 0.344 3.656 13 O -0.474 6.474 14 N -0.308 5.308 15 C 0.108 3.892 16 C -0.580 4.580 17 H 0.080 0.920 18 C -0.125 4.125 19 N -0.512 5.512 20 Si 0.725 3.275 21 H -0.205 1.205 22 H -0.210 1.210 23 H -0.199 1.199 24 C 0.042 3.958 25 C -0.142 4.142 26 C -0.092 4.092 27 C -0.201 4.201 28 C -0.074 4.074 29 N -0.200 5.200 30 C -0.038 4.038 31 H 0.085 0.915 32 H 0.080 0.920 33 H 0.091 0.909 34 H 0.143 0.857 35 H 0.138 0.862 36 H 0.140 0.860 37 H 0.148 0.852 38 H 0.075 0.925 39 H 0.083 0.917 40 H 0.094 0.906 41 H 0.081 0.919 42 H 0.079 0.921 43 H 0.174 0.826 44 H 0.039 0.961 45 H 0.062 0.938 46 H 0.078 0.922 47 H 0.094 0.906 48 H 0.103 0.897 49 H 0.151 0.849 50 H 0.146 0.854 51 H 0.165 0.835 52 H 0.176 0.824 Dipole moment (debyes) X Y Z Total from point charges -0.149 7.759 6.830 10.338 hybrid contribution 1.559 -0.790 -1.318 2.189 sum 1.410 6.969 5.512 8.996 Atomic orbital electron populations 1.20602 0.90586 1.02774 1.02209 1.19306 0.96582 0.90456 1.06059 1.20840 0.94117 0.96632 0.98864 1.20978 0.94214 0.97919 1.05044 1.20919 0.99677 0.91923 0.97947 1.21344 0.93199 0.99657 1.08343 1.18925 0.90439 0.86125 0.95442 1.86083 1.36228 1.12302 1.87760 1.22965 0.94694 0.82448 1.01145 1.21192 0.97562 0.90703 1.03678 1.22069 0.99255 0.90654 1.06564 1.20033 0.87899 0.84413 0.73250 1.90517 1.16451 1.86544 1.53860 1.48242 1.07925 1.03495 1.71097 1.19361 0.77033 0.97210 0.95570 1.21538 1.34128 1.10741 0.91589 0.92038 1.24982 0.93345 0.94664 0.99477 1.69493 1.40066 1.11767 1.29915 0.86522 0.78761 0.78829 0.83429 1.20515 1.21022 1.19892 1.19886 0.95483 0.90750 0.89642 1.21629 0.95616 0.97400 0.99553 1.21560 0.98790 0.95452 0.93367 1.22058 0.98583 1.02693 0.96807 1.22659 0.91445 0.94052 0.99204 1.67706 1.33586 1.13215 1.05540 1.22878 0.94630 0.95298 0.91043 0.91529 0.91966 0.90878 0.85744 0.86243 0.86032 0.85205 0.92489 0.91701 0.90582 0.91862 0.92109 0.82585 0.96121 0.93780 0.92162 0.90590 0.89668 0.84932 0.85372 0.83504 0.82387 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 -0.11 -1.21 9.79 36.01 0.35 -0.86 16 2 C -0.12 -1.61 5.89 -104.47 -0.62 -2.23 16 3 C -0.09 -0.96 9.70 -39.61 -0.38 -1.34 16 4 C -0.16 -1.73 10.04 -39.56 -0.40 -2.13 16 5 C -0.09 -0.98 10.04 -39.61 -0.40 -1.38 16 6 C -0.21 -2.73 9.04 -39.44 -0.36 -3.09 16 7 C 0.14 2.01 6.66 -39.22 -0.26 1.75 16 8 O -0.31 -5.02 9.18 -19.42 -0.18 -5.19 16 9 C 0.06 0.97 4.74 37.16 0.18 1.15 16 10 C -0.09 -1.70 4.87 -26.73 -0.13 -1.83 16 11 C -0.15 -2.88 3.80 -27.88 -0.11 -2.99 16 12 C 0.55 12.33 6.34 -10.98 -0.07 12.26 16 13 O -0.59 -14.34 15.09 5.55 0.08 -14.25 16 14 N -0.58 -12.25 2.11 -176.44 -0.37 -12.62 16 15 C 0.23 4.81 5.65 -5.19 -0.03 4.78 16 16 C -0.54 -12.54 9.11 -34.44 -0.31 -12.86 16 17 H 0.06 1.42 7.82 -52.48 -0.41 1.01 16 18 C 0.08 1.87 5.33 -17.82 -0.10 1.78 16 19 N -0.87 -20.99 8.26 55.43 0.46 -20.53 16 20 Si 0.90 19.11 29.54 -169.99 -5.02 14.08 16 21 H -0.28 -6.11 7.11 56.52 0.40 -5.71 16 22 H -0.28 -6.12 7.11 56.52 0.40 -5.72 16 23 H -0.27 -5.79 7.11 56.52 0.40 -5.39 16 24 C 0.17 3.23 5.43 -5.20 -0.03 3.21 16 25 C -0.14 -2.42 5.44 -104.48 -0.57 -2.99 16 26 C -0.07 -0.98 9.88 -39.28 -0.39 -1.37 16 27 C -0.18 -2.40 10.11 -39.44 -0.40 -2.80 16 28 C 0.08 1.19 11.18 -17.55 -0.20 0.99 16 29 N -0.49 -8.49 10.36 -13.25 -0.14 -8.63 16 30 C 0.12 2.14 10.67 -17.55 -0.19 1.96 16 31 H 0.07 0.72 8.14 -51.93 -0.42 0.30 16 32 H 0.06 0.58 8.09 -51.93 -0.42 0.16 16 33 H 0.07 0.94 7.53 -51.93 -0.39 0.55 16 34 H 0.12 1.06 8.06 -52.49 -0.42 0.63 16 35 H 0.12 0.97 8.06 -52.48 -0.42 0.55 16 36 H 0.12 1.10 8.06 -52.49 -0.42 0.68 16 37 H 0.13 1.61 6.30 -52.49 -0.33 1.28 16 38 H 0.06 0.81 7.66 -51.93 -0.40 0.41 16 39 H 0.06 0.99 7.66 -51.93 -0.40 0.59 16 40 H 0.08 1.53 8.10 -51.93 -0.42 1.11 16 41 H 0.06 1.19 8.10 -51.93 -0.42 0.77 16 42 H 0.06 1.10 7.55 -51.93 -0.39 0.71 16 43 H 0.16 3.35 4.96 -51.93 -0.26 3.09 16 44 H 0.02 0.40 8.14 -51.93 -0.42 -0.02 16 45 H 0.04 0.94 5.92 -51.93 -0.31 0.63 16 46 H 0.27 6.38 8.32 -40.82 -0.34 6.04 16 47 H 0.08 1.56 7.49 -51.93 -0.39 1.17 16 48 H 0.09 1.60 7.79 -51.93 -0.40 1.19 16 49 H 0.13 1.82 8.06 -52.48 -0.42 1.40 16 50 H 0.13 1.29 8.06 -52.48 -0.42 0.86 16 51 H 0.15 1.60 8.06 -52.48 -0.42 1.18 16 52 H 0.16 2.99 7.68 -52.49 -0.40 2.59 16 LS Contribution 425.19 15.07 6.41 6.41 Total: -1.00 -27.66 425.19 -11.02 -38.68 By element: Atomic # 1 Polarization: 17.91 SS G_CDS: -7.86 Total: 10.05 kcal Atomic # 6 Polarization: -3.60 SS G_CDS: -4.39 Total: -7.99 kcal Atomic # 7 Polarization: -41.73 SS G_CDS: -0.05 Total: -41.78 kcal Atomic # 8 Polarization: -19.35 SS G_CDS: -0.09 Total: -19.45 kcal Atomic # 14 Polarization: 19.11 SS G_CDS: -5.02 Total: 14.08 kcal Total LS contribution 6.41 Total: 6.41 kcal Total: -27.66 -11.02 -38.68 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. ZINC000069324417.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 15.770 kcal (2) G-P(sol) polarization free energy of solvation -27.661 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -11.890 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.016 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.676 kcal (6) G-S(sol) free energy of system = (1) + (5) -22.906 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.17 seconds