Wall clock time and date at job start Sat Apr 11 2020 06:15:20 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 1.46510 * 1 3 3 C 1.46500 * 119.99732 * 2 1 4 4 C 1.50695 * 109.47109 * 89.99819 * 3 2 1 5 5 H 1.07995 * 120.00496 * 359.97438 * 4 3 2 6 6 C 1.37880 * 119.99572 * 179.97438 * 4 3 2 7 7 N 1.31511 * 120.00327 * 0.02562 * 6 4 3 8 8 Si 1.86798 * 119.99951 * 180.02562 * 6 4 3 9 9 H 1.48506 * 109.47297 * 59.99744 * 8 6 4 10 10 H 1.48503 * 109.47261 * 299.99924 * 8 6 4 11 11 H 1.48500 * 109.47454 * 179.97438 * 8 6 4 12 12 C 1.34774 * 119.99995 * 179.97438 * 2 1 3 13 13 O 1.21282 * 120.00096 * 179.97438 * 12 2 1 14 14 C 1.50701 * 120.00042 * 0.02562 * 12 2 1 15 15 C 1.53006 * 109.46983 * 179.97438 * 14 12 2 16 16 H 1.09004 * 110.01614 * 305.70467 * 15 14 12 17 17 C 1.53876 * 110.03013 * 67.09069 * 15 14 12 18 18 C 1.54269 * 106.59542 * 119.28630 * 17 15 14 19 19 C 1.54888 * 104.19702 * 23.60780 * 18 17 15 20 20 H 1.09002 * 110.75947 * 80.55405 * 19 18 17 21 21 N 1.46497 * 110.75723 * 203.74225 * 19 18 17 22 22 C 1.34769 * 120.00055 * 273.54685 * 21 19 18 23 23 O 1.21511 * 120.00355 * 0.02562 * 22 21 19 24 24 O 1.34647 * 119.99942 * 180.02562 * 22 21 19 25 25 C 1.45202 * 116.99760 * 180.02562 * 24 22 21 26 26 C 1.52999 * 109.47284 * 59.99917 * 25 24 22 27 27 C 1.52997 * 109.46789 * 179.97438 * 25 24 22 28 28 C 1.52999 * 109.46895 * 299.99321 * 25 24 22 29 29 C 1.54259 * 110.02909 * 184.31028 * 15 14 12 30 30 H 1.08996 * 109.46959 * 90.00530 * 1 2 3 31 31 H 1.09001 * 109.46865 * 210.00253 * 1 2 3 32 32 H 1.08994 * 109.46989 * 330.00240 * 1 2 3 33 33 H 1.09002 * 109.47129 * 329.99653 * 3 2 1 34 34 H 1.08998 * 109.46845 * 210.00459 * 3 2 1 35 35 H 0.97006 * 119.99995 * 359.97438 * 7 6 4 36 36 H 1.08993 * 109.47055 * 299.99755 * 14 12 2 37 37 H 1.09000 * 109.47220 * 60.00306 * 14 12 2 38 38 H 1.09000 * 110.02858 * 238.56810 * 17 15 14 39 39 H 1.08993 * 110.03264 * 0.02562 * 17 15 14 40 40 H 1.08997 * 110.49023 * 142.28682 * 18 17 15 41 41 H 1.09001 * 110.48750 * 264.93183 * 18 17 15 42 42 H 0.97007 * 120.00178 * 93.54957 * 21 19 18 43 43 H 1.08994 * 109.47037 * 59.99789 * 26 25 24 44 44 H 1.09003 * 109.46633 * 179.97438 * 26 25 24 45 45 H 1.08994 * 109.46814 * 299.99724 * 26 25 24 46 46 H 1.08998 * 109.47345 * 59.99786 * 27 25 24 47 47 H 1.09001 * 109.47041 * 179.97438 * 27 25 24 48 48 H 1.09003 * 109.47372 * 299.99929 * 27 25 24 49 49 H 1.08998 * 109.46932 * 60.01056 * 28 25 24 50 50 H 1.09001 * 109.46780 * 180.02562 * 28 25 24 51 51 H 1.08998 * 109.47498 * 300.00373 * 28 25 24 52 52 H 1.08993 * 110.49016 * 335.78181 * 29 15 14 53 53 H 1.09002 * 110.48875 * 98.43117 * 29 15 14 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 1.4651 0.0000 0.0000 3 6 2.1975 1.2688 0.0000 4 6 2.4486 1.7038 1.4208 5 1 2.0974 1.0963 2.2417 6 6 3.1268 2.8776 1.6726 7 7 3.5541 3.6177 0.6730 8 14 3.4388 3.4166 3.4337 9 1 4.2412 2.3813 4.1336 10 1 2.1414 3.5945 4.1341 11 1 4.1822 4.7021 3.4337 12 6 2.1390 -1.1672 0.0005 13 8 3.3518 -1.1672 0.0001 14 6 1.3855 -2.4723 0.0005 15 6 2.3798 -3.6352 0.0005 16 1 3.0766 -3.5304 -0.8312 17 6 3.1500 -3.6701 1.3322 18 6 2.8361 -5.0311 1.9873 19 6 2.4297 -5.9393 0.8002 20 1 3.3117 -6.3157 0.2822 21 7 1.5871 -7.0466 1.2585 22 6 2.1543 -8.1827 1.7101 23 8 3.3645 -8.2885 1.7376 24 8 1.3799 -9.2007 2.1308 25 6 2.0591 -10.3935 2.6044 26 6 2.9492 -10.0344 3.7959 27 6 1.0228 -11.4324 3.0375 28 6 2.9208 -10.9703 1.4795 29 6 1.6247 -4.9760 -0.1084 30 1 -0.3633 -0.0001 -1.0276 31 1 -0.3633 -0.8900 0.5139 32 1 -0.3633 0.8900 0.5138 33 1 1.6084 2.0284 -0.5139 34 1 3.1499 1.1384 -0.5139 35 1 3.3925 3.3376 -0.2416 36 1 0.7585 -2.5298 0.8902 37 1 0.7592 -2.5303 -0.8897 38 1 4.2206 -3.5831 1.1466 39 1 2.8152 -2.8589 1.9785 40 1 3.7206 -5.4277 2.4856 41 1 2.0110 -4.9335 2.6928 42 1 0.6210 -6.9622 1.2369 43 1 2.3352 -9.6235 4.5973 44 1 3.4587 -10.9300 4.1517 45 1 3.6874 -9.2941 3.4878 46 1 0.3883 -11.6883 2.1889 47 1 1.5326 -12.3280 3.3926 48 1 0.4090 -11.0212 3.8390 49 1 3.6592 -10.2300 1.1714 50 1 3.4303 -11.8659 1.8349 51 1 2.2867 -11.2261 0.6306 52 1 0.6038 -4.8698 0.2583 53 1 1.6259 -5.3319 -1.1387 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 ZINC001361851314.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 06:15:20 Heat of formation + Delta-G solvation = -139.998090 kcal Electronic energy + Delta-G solvation = -30264.615237 eV Core-core repulsion = 26135.582206 eV Total energy + Delta-G solvation = -4129.033031 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.93 seconds Orbital eigenvalues (eV) -41.03163 -39.62377 -38.41521 -36.95132 -34.99253 -34.62460 -33.79509 -32.84731 -30.70392 -28.55642 -27.76092 -27.69636 -27.53878 -26.14264 -24.90738 -22.95113 -22.60098 -20.85031 -20.45655 -19.72864 -18.43173 -18.35654 -16.95277 -16.93059 -16.40924 -16.26877 -16.04125 -15.64902 -15.21709 -14.75339 -14.65200 -14.56591 -13.86547 -13.72404 -13.56312 -13.42466 -12.92263 -12.83653 -12.64242 -12.56540 -12.30460 -12.23632 -12.22748 -12.16436 -12.05666 -11.92889 -11.66385 -11.58921 -11.49567 -11.36018 -11.10172 -10.94592 -10.88035 -10.65789 -10.59125 -10.56774 -10.30127 -10.25165 -10.10139 -9.32857 -9.11715 -8.92721 -8.38593 -7.61335 -6.38303 -4.10285 1.92965 2.63887 3.38379 3.43089 3.47170 3.64156 3.81521 3.93305 4.37292 4.39638 4.42158 4.52829 4.55083 4.56126 4.79055 5.10424 5.11279 5.14164 5.19239 5.25170 5.30279 5.34044 5.36193 5.39590 5.42634 5.45685 5.50423 5.52393 5.55895 5.63028 5.63764 5.72100 5.77545 5.83543 5.89276 5.96905 5.99458 6.08470 6.12650 6.17075 6.28103 6.30864 6.50362 6.53162 6.81388 7.13313 7.21170 7.40608 8.04283 8.18285 8.30418 8.43494 8.78006 9.04068 9.59468 10.98876 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020538 B = 0.001938 C = 0.001857 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1363.004161 B =14445.671071 C =15078.425814 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.085 3.915 2 N -0.602 5.602 3 C 0.235 3.765 4 C -0.605 4.605 5 H 0.050 0.950 6 C 0.019 3.981 7 N -0.909 5.909 8 Si 1.071 2.929 9 H -0.287 1.287 10 H -0.288 1.288 11 H -0.281 1.281 12 C 0.502 3.498 13 O -0.538 6.538 14 C -0.132 4.132 15 C -0.071 4.071 16 H 0.084 0.916 17 C -0.107 4.107 18 C -0.137 4.137 19 C 0.157 3.843 20 H 0.099 0.901 21 N -0.703 5.703 22 C 0.649 3.351 23 O -0.566 6.566 24 O -0.368 6.368 25 C 0.136 3.864 26 C -0.184 4.184 27 C -0.141 4.141 28 C -0.184 4.184 29 C -0.124 4.124 30 H 0.043 0.957 31 H 0.058 0.942 32 H 0.072 0.928 33 H 0.020 0.980 34 H 0.033 0.967 35 H 0.267 0.733 36 H 0.087 0.913 37 H 0.084 0.916 38 H 0.072 0.928 39 H 0.069 0.931 40 H 0.070 0.930 41 H 0.067 0.933 42 H 0.404 0.596 43 H 0.059 0.941 44 H 0.069 0.931 45 H 0.089 0.911 46 H 0.066 0.934 47 H 0.080 0.920 48 H 0.066 0.934 49 H 0.088 0.912 50 H 0.069 0.931 51 H 0.059 0.941 52 H 0.075 0.925 53 H 0.074 0.926 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.661 -28.428 1.079 30.044 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 -0.059 4.059 2 N -0.334 5.334 3 C 0.115 3.885 4 C -0.644 4.644 5 H 0.069 0.931 6 C -0.186 4.186 7 N -0.545 5.545 8 Si 0.899 3.101 9 H -0.214 1.214 10 H -0.215 1.215 11 H -0.207 1.207 12 C 0.289 3.711 13 O -0.416 6.416 14 C -0.173 4.173 15 C -0.090 4.090 16 H 0.102 0.898 17 C -0.146 4.146 18 C -0.175 4.175 19 C 0.053 3.947 20 H 0.117 0.883 21 N -0.361 5.361 22 C 0.402 3.598 23 O -0.455 6.455 24 O -0.283 6.283 25 C 0.100 3.900 26 C -0.241 4.241 27 C -0.198 4.198 28 C -0.241 4.241 29 C -0.162 4.162 30 H 0.062 0.938 31 H 0.077 0.923 32 H 0.091 0.909 33 H 0.037 0.963 34 H 0.051 0.949 35 H 0.077 0.923 36 H 0.106 0.894 37 H 0.103 0.897 38 H 0.091 0.909 39 H 0.088 0.912 40 H 0.089 0.911 41 H 0.085 0.915 42 H 0.239 0.761 43 H 0.078 0.922 44 H 0.088 0.912 45 H 0.107 0.893 46 H 0.085 0.915 47 H 0.098 0.902 48 H 0.085 0.915 49 H 0.107 0.893 50 H 0.088 0.912 51 H 0.078 0.922 52 H 0.093 0.907 53 H 0.093 0.907 Dipole moment (debyes) X Y Z Total from point charges -7.718 -27.340 2.036 28.481 hybrid contribution -1.344 -1.134 -0.834 1.946 sum -9.062 -28.474 1.202 29.905 Atomic orbital electron populations 1.21622 0.81390 1.02625 1.00303 1.47987 1.06088 1.07591 1.71756 1.19319 0.91974 0.79128 0.98066 1.22231 1.40671 1.09539 0.91921 0.93147 1.25813 0.93351 0.93363 1.06026 1.70804 1.44050 1.39584 1.00093 0.83515 0.76414 0.76315 0.73861 1.21391 1.21482 1.20659 1.20379 0.88221 0.85106 0.77397 1.90668 1.13874 1.87216 1.49813 1.21832 0.98900 0.93161 1.03365 1.21421 0.96351 0.91570 0.99658 0.89762 1.22055 1.01244 0.95790 0.95466 1.22827 1.01756 0.95534 0.97434 1.22071 0.93487 0.84015 0.95082 0.88325 1.44826 1.10700 1.13154 1.67440 1.18126 0.84090 0.80674 0.76900 1.90909 1.13025 1.81996 1.59577 1.86297 1.40668 1.24687 1.76606 1.22055 0.92535 0.81280 0.94162 1.22518 1.00926 1.03700 0.96974 1.21862 0.98604 0.97054 1.02265 1.22517 1.01070 1.02507 0.97973 1.22713 0.99312 0.94608 0.99603 0.93833 0.92297 0.90928 0.96257 0.94873 0.92250 0.89441 0.89712 0.90944 0.91179 0.91133 0.91470 0.76095 0.92174 0.91173 0.89267 0.91516 0.90151 0.91467 0.89298 0.91171 0.92238 0.90665 0.90700 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 0.08 1.31 10.24 59.85 0.61 1.93 16 2 N -0.60 -12.63 2.86 -182.95 -0.52 -13.15 16 3 C 0.24 6.13 4.47 -5.20 -0.02 6.11 16 4 C -0.60 -17.37 9.39 -34.44 -0.32 -17.70 16 5 H 0.05 1.46 7.81 -52.49 -0.41 1.05 16 6 C 0.02 0.54 5.46 -17.82 -0.10 0.45 16 7 N -0.91 -27.88 13.65 55.43 0.76 -27.13 16 8 Si 1.07 25.73 29.90 -169.99 -5.08 20.65 16 9 H -0.29 -6.75 7.11 56.52 0.40 -6.35 16 10 H -0.29 -6.51 7.11 56.52 0.40 -6.11 16 11 H -0.28 -6.73 7.11 56.52 0.40 -6.32 16 12 C 0.50 10.04 7.21 -10.99 -0.08 9.96 16 13 O -0.54 -13.07 14.68 5.56 0.08 -12.99 16 14 C -0.13 -1.78 3.40 -27.88 -0.09 -1.87 16 15 C -0.07 -0.88 2.55 -89.50 -0.23 -1.11 16 16 H 0.08 1.18 7.95 -51.93 -0.41 0.76 16 17 C -0.11 -1.51 5.37 -25.61 -0.14 -1.64 16 18 C -0.14 -1.60 6.51 -25.07 -0.16 -1.76 16 19 C 0.16 1.60 3.18 -65.90 -0.21 1.39 16 20 H 0.10 1.14 7.70 -51.93 -0.40 0.74 16 21 N -0.70 -6.56 5.21 -56.74 -0.30 -6.85 16 22 C 0.65 7.39 8.05 54.05 0.44 7.82 16 23 O -0.57 -7.78 11.61 -19.28 -0.22 -8.01 16 24 O -0.37 -3.74 9.94 -40.34 -0.40 -4.14 16 25 C 0.14 1.16 1.13 -90.62 -0.10 1.05 16 26 C -0.18 -1.59 8.37 37.16 0.31 -1.28 16 27 C -0.14 -0.82 8.85 37.16 0.33 -0.49 16 28 C -0.18 -1.52 8.37 37.16 0.31 -1.21 16 29 C -0.12 -1.11 5.97 -25.03 -0.15 -1.26 16 30 H 0.04 0.57 8.14 -51.93 -0.42 0.15 16 31 H 0.06 0.73 6.44 -51.93 -0.33 0.39 16 32 H 0.07 1.19 8.07 -51.93 -0.42 0.77 16 33 H 0.02 0.51 7.94 -51.93 -0.41 0.09 16 34 H 0.03 0.96 7.29 -51.93 -0.38 0.59 16 35 H 0.27 8.14 7.22 -40.82 -0.29 7.85 16 36 H 0.09 1.05 7.40 -51.93 -0.38 0.66 16 37 H 0.08 0.94 8.11 -51.93 -0.42 0.51 16 38 H 0.07 1.12 8.14 -51.93 -0.42 0.70 16 39 H 0.07 1.13 7.36 -51.93 -0.38 0.75 16 40 H 0.07 0.89 8.14 -51.93 -0.42 0.47 16 41 H 0.07 0.75 8.14 -51.93 -0.42 0.32 16 42 H 0.40 2.82 8.64 -40.82 -0.35 2.47 16 43 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 44 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 45 H 0.09 1.00 5.88 -51.93 -0.31 0.69 16 46 H 0.07 0.37 8.14 -51.93 -0.42 -0.06 16 47 H 0.08 0.33 8.14 -51.93 -0.42 -0.09 16 48 H 0.07 0.38 8.14 -51.93 -0.42 -0.04 16 49 H 0.09 0.96 5.88 -51.93 -0.31 0.65 16 50 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 51 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 52 H 0.07 0.55 7.73 -51.93 -0.40 0.15 16 53 H 0.07 0.60 8.14 -51.93 -0.42 0.17 16 LS Contribution 416.82 15.07 6.28 6.28 Total: -1.00 -35.27 416.82 -8.50 -43.77 By element: Atomic # 1 Polarization: 10.65 SS G_CDS: -9.48 Total: 1.17 kcal Atomic # 6 Polarization: 0.00 SS G_CDS: 0.39 Total: 0.39 kcal Atomic # 7 Polarization: -47.07 SS G_CDS: -0.06 Total: -47.13 kcal Atomic # 8 Polarization: -24.59 SS G_CDS: -0.54 Total: -25.14 kcal Atomic # 14 Polarization: 25.73 SS G_CDS: -5.08 Total: 20.65 kcal Total LS contribution 6.28 Total: 6.28 kcal Total: -35.27 -8.50 -43.77 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. ZINC001361851314.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 -96.228 kcal (2) G-P(sol) polarization free energy of solvation -35.272 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -131.500 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.498 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.770 kcal (6) G-S(sol) free energy of system = (1) + (5) -139.998 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.93 seconds