Wall clock time and date at job start Wed Apr 1 2020 00:22:57 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 H 1.08996 * 109.55033 * 2 1 4 4 C 1.53289 * 109.51213 * 239.87444 * 2 1 3 5 5 N 1.47152 * 108.37697 * 187.72934 * 4 2 1 6 6 C 1.34779 * 120.99041 * 230.57179 * 5 4 2 7 7 O 1.21284 * 119.99665 * 180.02562 * 6 5 4 8 8 C 1.50698 * 119.99952 * 0.02562 * 6 5 4 9 9 C 1.53001 * 109.46954 * 185.97268 * 8 6 5 10 10 C 1.53000 * 109.47127 * 58.75841 * 9 8 6 11 11 C 1.53000 * 109.47046 * 178.75885 * 9 8 6 12 12 O 1.42904 * 109.47163 * 298.75932 * 9 8 6 13 13 C 1.47152 * 118.02164 * 50.59701 * 5 4 2 14 14 C 1.53258 * 108.40493 * 309.51252 * 13 5 4 15 15 C 1.52983 * 109.38734 * 292.19245 * 14 13 5 16 16 C 1.53193 * 109.35868 * 178.89639 * 15 14 13 17 17 N 1.46932 * 108.77608 * 54.56297 * 16 15 14 18 18 C 1.36939 * 120.64054 * 126.31244 * 17 16 15 19 19 H 1.07998 * 119.99586 * 210.22779 * 18 17 16 20 20 C 1.38806 * 120.00191 * 30.22771 * 18 17 16 21 21 N 1.31621 * 120.00176 * 11.92012 * 20 18 17 22 22 Si 1.86798 * 120.00197 * 191.92246 * 20 18 17 23 23 H 1.48505 * 109.47097 * 0.02562 * 22 20 18 24 24 H 1.48502 * 109.47263 * 119.99927 * 22 20 18 25 25 H 1.48493 * 109.47328 * 239.99950 * 22 20 18 26 26 C 1.46924 * 118.71560 * 306.33393 * 17 16 15 27 27 C 1.52989 * 109.36203 * 172.10921 * 14 13 5 28 28 O 1.42899 * 109.32286 * 52.16257 * 14 13 5 29 29 H 1.09001 * 109.47110 * 299.87659 * 1 2 3 30 30 H 1.08994 * 109.47052 * 59.88321 * 1 2 3 31 31 H 1.09004 * 109.46642 * 179.88177 * 1 2 3 32 32 H 1.09001 * 109.68722 * 307.45428 * 4 2 1 33 33 H 1.09003 * 109.68081 * 68.01362 * 4 2 1 34 34 H 1.09001 * 109.47161 * 305.97619 * 8 6 5 35 35 H 1.08998 * 109.46945 * 65.97784 * 8 6 5 36 36 H 1.09003 * 109.46944 * 59.99796 * 10 9 8 37 37 H 1.09000 * 109.47146 * 179.97438 * 10 9 8 38 38 H 1.09001 * 109.47272 * 299.99814 * 10 9 8 39 39 H 1.09004 * 109.47267 * 64.71841 * 11 9 8 40 40 H 1.08993 * 109.47077 * 184.71941 * 11 9 8 41 41 H 1.08997 * 109.47010 * 304.72059 * 11 9 8 42 42 H 0.96698 * 113.99858 * 60.00126 * 12 9 8 43 43 H 1.08997 * 109.68202 * 189.77884 * 13 5 4 44 44 H 1.08998 * 109.67825 * 69.23790 * 13 5 4 45 45 H 1.09003 * 109.49170 * 58.93745 * 15 14 13 46 46 H 1.08996 * 109.50964 * 298.87663 * 15 14 13 47 47 H 1.08999 * 109.58980 * 174.35016 * 16 15 14 48 48 H 1.09003 * 109.58919 * 294.77917 * 16 15 14 49 49 H 0.97001 * 120.00335 * 179.97438 * 21 20 18 50 50 H 1.09002 * 109.58418 * 293.88017 * 26 17 16 51 51 H 1.09003 * 109.58529 * 173.46432 * 26 17 16 52 52 H 1.09007 * 109.48985 * 301.09015 * 27 14 13 53 53 H 1.09000 * 109.49428 * 61.15558 * 27 14 13 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 1.8948 1.0271 0.0000 4 6 2.0420 -0.7252 -1.2497 5 7 3.5013 -0.8751 -1.1339 6 6 4.3191 -0.5018 -2.1380 7 8 5.5193 -0.6339 -2.0235 8 6 3.7423 0.0797 -3.4030 9 6 4.8599 0.2781 -4.4289 10 6 5.5332 -1.0655 -4.7158 11 6 4.2696 0.8395 -5.7240 12 8 5.8263 1.1939 -3.9096 13 6 4.0411 -1.4453 0.1107 14 6 3.4306 -0.6877 1.2947 15 6 3.9557 0.7492 1.3034 16 6 3.3239 1.5138 2.4709 17 7 3.5750 0.7712 3.7136 18 6 4.1594 1.3866 4.7884 19 1 4.7711 0.8153 5.4708 20 6 3.9654 2.7445 5.0007 21 7 3.0439 3.3921 4.3196 22 14 5.0122 3.6530 6.2529 23 1 5.9691 2.7054 6.8789 24 1 5.7643 4.7392 5.5746 25 1 4.1362 4.2369 7.3001 26 6 3.1875 -0.6444 3.7807 27 6 3.8209 -1.3855 2.5990 28 8 2.0075 -0.6762 1.1657 29 1 -0.3633 0.5119 0.8911 30 1 -0.3633 0.5156 -0.8889 31 1 -0.3633 -1.0277 -0.0021 32 1 1.5764 -1.7082 -1.3205 33 1 1.8025 -0.1401 -2.1376 34 1 2.9941 -0.6016 -3.8078 35 1 3.2773 1.0405 -3.1820 36 1 4.7961 -1.7640 -5.1119 37 1 6.3291 -0.9243 -5.4471 38 1 5.9538 -1.4655 -3.7932 39 1 3.8638 1.8339 -5.5372 40 1 5.0503 0.9022 -6.4819 41 1 3.4739 0.1826 -6.0753 42 1 6.2425 0.9019 -3.0871 43 1 5.1254 -1.3359 0.1246 44 1 3.7775 -2.5010 0.1753 45 1 3.6940 1.2377 0.3647 46 1 5.0395 0.7399 1.4187 47 1 3.7695 2.5060 2.5417 48 1 2.2496 1.6040 2.3099 49 1 2.9080 4.3410 4.4682 50 1 2.1022 -0.7291 3.7258 51 1 3.5430 -1.0766 4.7161 52 1 3.4634 -2.4152 2.5817 53 1 4.9057 -1.3786 2.7047 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 ZINC001098591916.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:22:57 Heat of formation + Delta-G solvation = -109.004040 kcal Electronic energy + Delta-G solvation = -32919.196885 eV Core-core repulsion = 28791.507856 eV Total energy + Delta-G solvation = -4127.689029 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.25 seconds Orbital eigenvalues (eV) -40.95365 -39.49226 -37.36254 -36.39266 -34.67829 -33.62392 -32.77931 -31.51547 -30.24526 -29.85930 -28.90513 -27.48648 -26.96626 -26.07398 -24.04229 -22.64414 -21.72682 -21.14978 -20.42594 -19.21589 -18.95651 -17.45858 -16.97870 -16.84047 -16.06018 -15.86176 -15.59095 -15.03324 -14.84352 -14.70120 -14.50508 -14.23879 -13.91226 -13.60131 -13.31819 -13.24396 -13.13528 -12.71232 -12.62466 -12.46818 -12.41644 -12.30391 -12.09269 -11.99990 -11.78832 -11.65878 -11.50187 -11.45737 -11.43182 -11.07259 -10.99465 -10.77007 -10.57457 -10.34101 -10.24734 -10.13467 -10.06571 -9.86897 -9.73167 -9.50860 -9.31954 -8.46711 -8.41239 -6.58742 -5.75427 -3.21419 2.42335 2.77149 3.38381 3.46032 3.47999 3.85793 4.13025 4.22391 4.46101 4.51478 4.64809 4.76144 4.84645 4.94120 5.06267 5.10240 5.13728 5.23601 5.29133 5.32612 5.39379 5.41015 5.46477 5.50113 5.59514 5.60107 5.61849 5.73371 5.76947 5.78206 5.84548 5.95602 6.00635 6.06547 6.15528 6.18498 6.26687 6.32738 6.42072 6.44550 6.55366 6.67741 6.82980 7.06968 7.21459 7.41641 7.57068 7.69368 7.73041 7.81593 8.04385 8.50109 9.25642 9.88011 10.46356 11.32635 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013907 B = 0.003371 C = 0.003103 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2012.925662 B = 8303.415176 C = 9020.209802 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.141 4.141 2 C 0.070 3.930 3 H 0.070 0.930 4 C 0.077 3.923 5 N -0.606 5.606 6 C 0.521 3.479 7 O -0.544 6.544 8 C -0.172 4.172 9 C 0.145 3.855 10 C -0.189 4.189 11 C -0.139 4.139 12 O -0.566 6.566 13 C 0.087 3.913 14 C 0.119 3.881 15 C -0.160 4.160 16 C 0.181 3.819 17 N -0.591 5.591 18 C -0.250 4.250 19 H 0.065 0.935 20 C 0.002 3.998 21 N -0.905 5.905 22 Si 0.903 3.097 23 H -0.278 1.278 24 H -0.290 1.290 25 H -0.290 1.290 26 C 0.151 3.849 27 C -0.117 4.117 28 O -0.355 6.355 29 H 0.072 0.928 30 H 0.068 0.932 31 H 0.061 0.939 32 H 0.076 0.924 33 H 0.089 0.911 34 H 0.099 0.901 35 H 0.103 0.897 36 H 0.056 0.944 37 H 0.060 0.940 38 H 0.083 0.917 39 H 0.064 0.936 40 H 0.065 0.935 41 H 0.068 0.932 42 H 0.388 0.612 43 H 0.099 0.901 44 H 0.069 0.931 45 H 0.047 0.953 46 H 0.063 0.937 47 H 0.086 0.914 48 H 0.021 0.979 49 H 0.252 0.748 50 H 0.027 0.973 51 H 0.052 0.948 52 H 0.058 0.942 53 H 0.073 0.927 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.591 -9.784 -18.093 20.880 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 -0.199 4.199 2 C 0.011 3.989 3 H 0.088 0.912 4 C -0.046 4.046 5 N -0.338 5.338 6 C 0.311 3.689 7 O -0.424 6.424 8 C -0.212 4.212 9 C 0.104 3.896 10 C -0.246 4.246 11 C -0.197 4.197 12 O -0.377 6.377 13 C -0.035 4.035 14 C 0.079 3.921 15 C -0.199 4.199 16 C 0.055 3.945 17 N -0.314 5.314 18 C -0.379 4.379 19 H 0.082 0.918 20 C -0.196 4.196 21 N -0.550 5.550 22 Si 0.733 3.267 23 H -0.203 1.203 24 H -0.216 1.216 25 H -0.217 1.217 26 C 0.025 3.975 27 C -0.157 4.157 28 O -0.275 6.275 29 H 0.091 0.909 30 H 0.087 0.913 31 H 0.080 0.920 32 H 0.095 0.905 33 H 0.108 0.892 34 H 0.117 0.883 35 H 0.122 0.878 36 H 0.075 0.925 37 H 0.079 0.921 38 H 0.102 0.898 39 H 0.083 0.917 40 H 0.084 0.916 41 H 0.087 0.913 42 H 0.242 0.758 43 H 0.117 0.883 44 H 0.087 0.913 45 H 0.066 0.934 46 H 0.082 0.918 47 H 0.105 0.895 48 H 0.039 0.961 49 H 0.062 0.938 50 H 0.045 0.955 51 H 0.071 0.929 52 H 0.077 0.923 53 H 0.091 0.909 Dipole moment (debyes) X Y Z Total from point charges -3.284 -9.440 -18.373 20.916 hybrid contribution 0.623 0.277 0.863 1.100 sum -2.662 -9.163 -17.510 19.941 Atomic orbital electron populations 1.21698 0.92530 1.02727 1.02935 1.22383 0.95254 0.96381 0.84850 0.91175 1.22588 0.79964 1.01921 1.00148 1.48142 1.06927 1.62316 1.16404 1.20614 0.86646 0.77085 0.84595 1.90527 1.14892 1.56037 1.80937 1.22542 1.01061 1.03265 0.94298 1.20817 0.87137 0.89728 0.91913 1.22690 1.01200 0.96847 1.03891 1.21769 1.00831 1.01608 0.95454 1.86406 1.57245 1.47861 1.46234 1.22497 1.00911 0.97101 0.82988 1.21723 0.80587 0.96045 0.93768 1.22717 1.01364 0.95150 1.00711 1.20661 0.96533 0.95315 0.81989 1.44010 1.70568 1.05777 1.11063 1.19236 1.22565 0.92247 1.03896 0.91751 1.25119 0.97491 0.98246 0.98759 1.69993 1.32531 1.08798 1.43636 0.86212 0.79794 0.79769 0.80945 1.20258 1.21634 1.21704 1.20793 0.96454 0.86021 0.94249 1.21996 1.01070 0.98210 0.94439 1.88015 1.20944 1.76319 1.42175 0.90905 0.91326 0.91958 0.90549 0.89229 0.88306 0.87849 0.92517 0.92060 0.89843 0.91710 0.91615 0.91306 0.75821 0.88289 0.91277 0.93400 0.91832 0.89539 0.96115 0.93767 0.95499 0.92905 0.92291 0.90875 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -1.52 9.57 37.16 0.36 -1.16 16 2 C 0.07 0.92 3.01 -26.58 -0.08 0.84 16 3 H 0.07 1.05 6.29 -51.93 -0.33 0.73 16 4 C 0.08 0.80 5.78 -3.54 -0.02 0.78 16 5 N -0.61 -7.66 2.52 -172.30 -0.43 -8.09 16 6 C 0.52 6.64 7.17 -10.99 -0.08 6.56 16 7 O -0.54 -8.28 11.22 -13.37 -0.15 -8.43 16 8 C -0.17 -1.65 3.37 -27.88 -0.09 -1.75 16 9 C 0.15 1.54 1.11 -90.62 -0.10 1.44 16 10 C -0.19 -1.94 8.48 37.16 0.32 -1.62 16 11 C -0.14 -1.16 8.84 37.16 0.33 -0.83 16 12 O -0.57 -7.71 12.96 -54.15 -0.70 -8.41 16 13 C 0.09 1.25 5.29 -3.55 -0.02 1.24 16 14 C 0.12 1.98 0.68 -90.50 -0.06 1.92 16 15 C -0.16 -3.11 4.33 -26.64 -0.12 -3.22 16 16 C 0.18 4.34 5.04 -3.71 -0.02 4.32 16 17 N -0.59 -14.88 2.99 -172.32 -0.52 -15.39 16 18 C -0.25 -6.88 9.59 -15.06 -0.14 -7.02 16 19 H 0.06 1.74 7.86 -52.49 -0.41 1.33 16 20 C 0.00 0.06 5.03 -17.43 -0.09 -0.03 16 21 N -0.90 -26.33 11.04 55.49 0.61 -25.71 16 22 Si 0.90 21.88 29.57 -169.99 -5.03 16.85 16 23 H -0.28 -6.57 7.11 56.52 0.40 -6.16 16 24 H -0.29 -7.06 7.11 56.52 0.40 -6.66 16 25 H -0.29 -7.07 7.11 56.52 0.40 -6.67 16 26 C 0.15 3.20 6.28 -3.71 -0.02 3.18 16 27 C -0.12 -2.03 5.10 -26.64 -0.14 -2.17 16 28 O -0.36 -5.90 8.65 -35.23 -0.30 -6.20 16 29 H 0.07 0.92 8.14 -51.93 -0.42 0.49 16 30 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 31 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 32 H 0.08 0.71 8.14 -51.93 -0.42 0.29 16 33 H 0.09 0.69 6.08 -51.93 -0.32 0.38 16 34 H 0.10 0.70 7.72 -51.93 -0.40 0.30 16 35 H 0.10 0.95 7.93 -51.93 -0.41 0.54 16 36 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 37 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 38 H 0.08 1.03 5.63 -51.93 -0.29 0.74 16 39 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 40 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 41 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 42 H 0.39 5.48 6.45 45.56 0.29 5.77 16 43 H 0.10 1.54 7.07 -51.93 -0.37 1.17 16 44 H 0.07 0.91 8.14 -51.93 -0.42 0.49 16 45 H 0.05 0.88 6.15 -51.93 -0.32 0.56 16 46 H 0.06 1.31 8.14 -51.93 -0.42 0.88 16 47 H 0.09 2.36 6.05 -51.93 -0.31 2.05 16 48 H 0.02 0.53 7.83 -51.93 -0.41 0.12 16 49 H 0.25 7.10 8.31 -40.82 -0.34 6.76 16 50 H 0.03 0.60 7.83 -51.93 -0.41 0.19 16 51 H 0.05 1.09 7.93 -51.93 -0.41 0.68 16 52 H 0.06 0.88 8.14 -51.93 -0.42 0.46 16 53 H 0.07 1.26 8.14 -51.93 -0.42 0.84 16 LS Contribution 393.90 15.07 5.94 5.94 Total: -1.00 -31.60 393.90 -9.29 -40.89 By element: Atomic # 1 Polarization: 14.82 SS G_CDS: -8.72 Total: 6.10 kcal Atomic # 6 Polarization: 2.45 SS G_CDS: 0.02 Total: 2.47 kcal Atomic # 7 Polarization: -48.86 SS G_CDS: -0.34 Total: -49.20 kcal Atomic # 8 Polarization: -21.89 SS G_CDS: -1.16 Total: -23.04 kcal Atomic # 14 Polarization: 21.88 SS G_CDS: -5.03 Total: 16.85 kcal Total LS contribution 5.94 Total: 5.94 kcal Total: -31.60 -9.29 -40.89 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. ZINC001098591916.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 -68.115 kcal (2) G-P(sol) polarization free energy of solvation -31.603 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -99.718 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.286 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.889 kcal (6) G-S(sol) free energy of system = (1) + (5) -109.004 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.26 seconds