Wall clock time and date at job start Tue Mar 31 2020 19:18:34 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 1.53002 * 1 3 3 C 1.53006 * 109.46944 * 2 1 4 4 C 1.52993 * 109.46870 * 119.99562 * 2 1 3 5 5 H 1.09001 * 109.52646 * 300.08382 * 4 2 1 6 6 C 1.53073 * 109.62200 * 60.11113 * 4 2 1 7 7 C 1.53044 * 109.65920 * 181.16987 * 6 4 2 8 8 C 1.53190 * 109.31005 * 298.69957 * 7 6 4 9 9 N 1.46927 * 108.77956 * 54.63799 * 8 7 6 10 10 C 1.34768 * 120.63424 * 126.41569 * 9 8 7 11 11 O 1.21354 * 120.00348 * 175.93165 * 10 9 8 12 12 C 1.49449 * 120.00201 * 355.92314 * 10 9 8 13 13 O 1.21351 * 119.99862 * 84.12373 * 12 10 9 14 14 N 1.34775 * 120.00023 * 264.12810 * 12 10 9 15 15 C 1.46925 * 120.63181 * 4.60803 * 14 12 10 16 16 C 1.52756 * 109.00824 * 233.58391 * 15 14 12 17 17 C 1.53043 * 109.38611 * 305.58957 * 16 15 14 18 18 C 1.53041 * 109.53670 * 61.23880 * 17 16 15 19 19 H 1.09004 * 109.52182 * 58.60421 * 18 17 16 20 20 C 1.50696 * 109.49605 * 178.68421 * 18 17 16 21 21 H 1.08005 * 120.00186 * 359.70473 * 20 18 17 22 22 C 1.37878 * 120.00290 * 179.71503 * 20 18 17 23 23 N 1.31517 * 119.99770 * 7.16496 * 22 20 18 24 24 Si 1.86797 * 120.00563 * 187.17539 * 22 20 18 25 25 H 1.48493 * 109.47412 * 94.98673 * 24 22 20 26 26 H 1.48497 * 109.47413 * 214.99135 * 24 22 20 27 27 H 1.48504 * 109.46789 * 334.98660 * 24 22 20 28 28 C 1.46931 * 120.62928 * 184.89222 * 14 12 10 29 29 C 1.46931 * 118.73281 * 306.38877 * 9 8 7 30 30 H 1.08994 * 109.47582 * 300.00820 * 1 2 3 31 31 H 1.09005 * 109.46858 * 60.00042 * 1 2 3 32 32 H 1.09000 * 109.47304 * 179.97438 * 1 2 3 33 33 H 1.08998 * 109.47497 * 240.00117 * 2 1 3 34 34 H 1.09003 * 109.46798 * 299.99641 * 3 2 1 35 35 H 1.08998 * 109.46946 * 59.99212 * 3 2 1 36 36 H 1.08998 * 109.47169 * 179.97438 * 3 2 1 37 37 H 1.08991 * 109.34879 * 61.14399 * 6 4 2 38 38 H 1.09004 * 109.45033 * 301.25333 * 6 4 2 39 39 H 1.08994 * 109.49735 * 178.74817 * 7 6 4 40 40 H 1.09006 * 109.49954 * 58.64688 * 7 6 4 41 41 H 1.09003 * 109.58853 * 294.84456 * 8 7 6 42 42 H 1.09004 * 109.58778 * 174.42391 * 8 7 6 43 43 H 1.08998 * 109.58578 * 353.42275 * 15 14 12 44 44 H 1.09008 * 109.58420 * 113.84866 * 15 14 12 45 45 H 1.09005 * 109.56588 * 185.55157 * 16 15 14 46 46 H 1.08997 * 109.38564 * 65.51884 * 16 15 14 47 47 H 1.09001 * 109.45841 * 301.21550 * 17 16 15 48 48 H 1.09002 * 109.46042 * 181.25948 * 17 16 15 49 49 H 0.97002 * 120.00401 * 180.02562 * 23 22 20 50 50 H 1.08999 * 109.58285 * 246.15463 * 28 14 12 51 51 H 1.09000 * 109.58940 * 6.57543 * 28 14 12 52 52 H 1.09001 * 109.58371 * 173.39622 * 29 9 8 53 53 H 1.08994 * 109.58882 * 293.67878 * 29 9 8 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 6 2.0400 1.4426 0.0000 4 6 2.0399 -0.7211 1.2493 5 1 1.6758 -0.2088 2.1398 6 6 1.5338 -2.1658 1.2514 7 6 2.0193 -2.8795 2.5153 8 6 3.5509 -2.9039 2.5266 9 7 4.0470 -1.5284 2.3822 10 6 4.9215 -1.0169 3.2709 11 8 5.3804 0.0935 3.1004 12 6 5.3259 -1.8170 4.4667 13 8 6.2191 -2.6336 4.3765 14 7 4.6986 -1.6318 5.6451 15 6 3.5500 -0.7213 5.7467 16 6 3.8131 0.2892 6.8616 17 6 4.1404 -0.4574 8.1569 18 6 5.4030 -1.2990 7.9575 19 1 6.2310 -0.6511 7.6697 20 6 5.7427 -2.0084 9.2429 21 1 5.1233 -1.8691 10.1167 22 6 6.8444 -2.8352 9.3038 23 7 7.6776 -2.8963 8.2880 24 14 7.1537 -3.8687 10.8287 25 1 6.5872 -5.2268 10.6295 26 1 8.6155 -3.9724 11.0684 27 1 6.5041 -3.2285 12.0007 28 6 5.1543 -2.3318 6.8539 29 6 3.5719 -0.7215 1.2500 30 1 -0.3634 0.5139 0.8898 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3634 -1.0277 -0.0005 33 1 1.8934 -0.5138 -0.8900 34 1 1.6767 1.9563 -0.8901 35 1 1.6765 1.9564 0.8899 36 1 3.1300 1.4426 0.0005 37 1 1.9166 -2.6838 0.3722 38 1 0.4440 -2.1686 1.2287 39 1 1.6391 -3.9009 2.5250 40 1 1.6574 -2.3476 3.3952 41 1 3.9129 -3.5119 1.6975 42 1 3.9028 -3.3220 3.4698 43 1 3.4166 -0.1944 4.8018 44 1 2.6508 -1.2920 5.9793 45 1 2.9273 0.9065 7.0114 46 1 4.6555 0.9229 6.5842 47 1 3.3074 -1.1090 8.4209 48 1 4.3065 0.2622 8.9587 49 1 8.4525 -3.4782 8.3305 50 1 4.3887 -3.0364 7.1785 51 1 6.0792 -2.8672 6.6393 52 1 3.9375 0.3004 1.3508 53 1 3.9376 -1.1500 0.3169 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001329662960.mol2 53 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 19:18:34 Heat of formation + Delta-G solvation = -92.502793 kcal Electronic energy + Delta-G solvation = -31396.705372 eV Core-core repulsion = 27460.187943 eV Total energy + Delta-G solvation = -3936.517429 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.03 seconds Orbital eigenvalues (eV) -40.81974 -39.18826 -37.88090 -36.76146 -35.66388 -33.41988 -32.53218 -31.86828 -30.37288 -29.90394 -27.81688 -26.45000 -25.10936 -24.86755 -23.87720 -22.39906 -21.88911 -21.06905 -20.05104 -19.42294 -18.30961 -17.56938 -16.68141 -16.21169 -16.14569 -15.40818 -14.94065 -14.72545 -14.68167 -14.38764 -14.31524 -14.11759 -13.88668 -13.78578 -13.53822 -13.20960 -13.08178 -12.74031 -12.73562 -12.67129 -12.37191 -12.20698 -12.01287 -11.88829 -11.65138 -11.40146 -11.18310 -11.04205 -11.00630 -10.95627 -10.89217 -10.64906 -10.54711 -10.46264 -10.42322 -10.27420 -9.98277 -9.31034 -9.15652 -8.89855 -8.79541 -8.42884 -7.95412 -6.04014 -4.10684 2.36691 2.52379 2.98630 3.29624 3.37538 3.39589 3.69265 4.29315 4.36872 4.41286 4.50995 4.56703 4.70464 4.82933 4.87560 5.09389 5.11464 5.22068 5.23297 5.27330 5.30715 5.36523 5.43793 5.45121 5.55845 5.58125 5.58536 5.61671 5.64771 5.70091 5.74484 5.79404 5.86751 5.90682 5.99534 6.06720 6.13761 6.16918 6.26439 6.34630 6.51347 6.59844 6.78103 6.91094 6.98738 7.06533 7.14318 7.53878 7.81164 7.88981 7.95291 8.01566 8.30391 8.48814 8.93045 9.54307 11.02865 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.020807 B = 0.002947 C = 0.002877 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1345.401734 B = 9500.303744 C = 9728.861191 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.148 4.148 2 C -0.088 4.088 3 C -0.153 4.153 4 C -0.097 4.097 5 H 0.077 0.923 6 C -0.116 4.116 7 C -0.134 4.134 8 C 0.105 3.895 9 N -0.601 5.601 10 C 0.519 3.481 11 O -0.517 6.517 12 C 0.507 3.493 13 O -0.514 6.514 14 N -0.585 5.585 15 C 0.110 3.890 16 C -0.135 4.135 17 C -0.109 4.109 18 C 0.038 3.962 19 H 0.033 0.967 20 C -0.522 4.522 21 H 0.060 0.940 22 C 0.063 3.937 23 N -0.879 5.879 24 Si 0.891 3.109 25 H -0.280 1.280 26 H -0.286 1.286 27 H -0.274 1.274 28 C 0.114 3.886 29 C 0.113 3.887 30 H 0.055 0.945 31 H 0.053 0.947 32 H 0.058 0.942 33 H 0.071 0.929 34 H 0.054 0.946 35 H 0.056 0.944 36 H 0.059 0.941 37 H 0.064 0.936 38 H 0.070 0.930 39 H 0.078 0.922 40 H 0.070 0.930 41 H 0.074 0.926 42 H 0.087 0.913 43 H 0.065 0.935 44 H 0.068 0.932 45 H 0.062 0.938 46 H 0.064 0.936 47 H 0.051 0.949 48 H 0.054 0.946 49 H 0.264 0.736 50 H 0.051 0.949 51 H 0.117 0.883 52 H 0.096 0.904 53 H 0.068 0.932 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.832 3.122 -16.631 23.867 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 -0.205 4.205 2 C -0.107 4.107 3 C -0.210 4.210 4 C -0.116 4.116 5 H 0.095 0.905 6 C -0.153 4.153 7 C -0.173 4.173 8 C -0.017 4.017 9 N -0.337 5.337 10 C 0.303 3.697 11 O -0.392 6.392 12 C 0.288 3.712 13 O -0.390 6.390 14 N -0.318 5.318 15 C -0.013 4.013 16 C -0.173 4.173 17 C -0.147 4.147 18 C 0.019 3.981 19 H 0.051 0.949 20 C -0.560 4.560 21 H 0.078 0.922 22 C -0.140 4.140 23 N -0.516 5.516 24 Si 0.719 3.281 25 H -0.206 1.206 26 H -0.212 1.212 27 H -0.199 1.199 28 C -0.006 4.006 29 C -0.009 4.009 30 H 0.074 0.926 31 H 0.072 0.928 32 H 0.076 0.924 33 H 0.090 0.910 34 H 0.073 0.927 35 H 0.075 0.925 36 H 0.078 0.922 37 H 0.083 0.917 38 H 0.089 0.911 39 H 0.097 0.903 40 H 0.088 0.912 41 H 0.093 0.907 42 H 0.105 0.895 43 H 0.084 0.916 44 H 0.086 0.914 45 H 0.081 0.919 46 H 0.082 0.918 47 H 0.069 0.931 48 H 0.073 0.927 49 H 0.074 0.926 50 H 0.069 0.931 51 H 0.135 0.865 52 H 0.114 0.886 53 H 0.086 0.914 Dipole moment (debyes) X Y Z Total from point charges -15.897 3.189 -16.800 23.347 hybrid contribution 0.236 -0.582 0.765 0.990 sum -15.661 2.607 -16.035 22.565 Atomic orbital electron populations 1.21881 0.95007 1.01851 1.01771 1.21077 0.95910 0.96226 0.97481 1.21924 1.01483 0.95750 1.01862 1.21598 0.94703 0.96398 0.98938 0.90494 1.21653 1.00939 0.94873 0.97885 1.21929 0.94833 1.01579 0.98924 1.21816 0.94447 0.82065 1.03421 1.48130 1.43761 1.14820 1.26950 1.20766 0.78476 0.86425 0.84057 1.90756 1.53023 1.19249 1.76131 1.19975 0.83746 0.83357 0.84078 1.90820 1.30152 1.33994 1.83985 1.48562 1.30272 1.43760 1.09228 1.21593 0.88553 0.91868 0.99280 1.21876 1.01295 0.97614 0.96511 1.21625 0.99887 0.98538 0.94662 1.18988 0.92382 0.93057 0.93692 0.94877 1.21050 1.10917 1.27820 0.96215 0.92194 1.25061 0.95562 0.97029 0.96336 1.69940 1.13120 1.37794 1.30747 0.86590 0.77456 0.80767 0.83291 1.20635 1.21227 1.19872 1.22383 1.01023 0.95906 0.81279 1.21763 0.93554 0.97323 0.88234 0.92618 0.92778 0.92350 0.91044 0.92695 0.92491 0.92213 0.91708 0.91134 0.90314 0.91153 0.90744 0.89460 0.91617 0.91391 0.91941 0.91772 0.93067 0.92725 0.92598 0.93100 0.86511 0.88618 0.91381 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 -0.15 -0.88 8.85 37.16 0.33 -0.55 16 2 C -0.09 -0.59 2.51 -90.62 -0.23 -0.82 16 3 C -0.15 -1.10 8.85 37.16 0.33 -0.78 16 4 C -0.10 -0.79 1.93 -90.49 -0.17 -0.97 16 5 H 0.08 0.70 8.14 -51.93 -0.42 0.28 16 6 C -0.12 -0.83 4.85 -26.67 -0.13 -0.96 16 7 C -0.13 -1.14 6.09 -26.61 -0.16 -1.30 16 8 C 0.11 1.20 6.35 -3.71 -0.02 1.18 16 9 N -0.60 -8.14 2.97 -173.27 -0.52 -8.65 16 10 C 0.52 9.41 5.47 -11.59 -0.06 9.35 16 11 O -0.52 -10.62 16.53 5.49 0.09 -10.53 16 12 C 0.51 10.65 5.49 -11.59 -0.06 10.59 16 13 O -0.51 -12.66 16.50 5.50 0.09 -12.57 16 14 N -0.58 -11.76 2.98 -173.54 -0.52 -12.28 16 15 C 0.11 1.78 6.33 -3.94 -0.02 1.75 16 16 C -0.13 -2.25 6.06 -26.83 -0.16 -2.41 16 17 C -0.11 -2.15 5.11 -26.69 -0.14 -2.29 16 18 C 0.04 0.93 2.20 -91.66 -0.20 0.73 16 19 H 0.03 0.93 8.14 -51.93 -0.42 0.50 16 20 C -0.52 -13.92 8.56 -34.44 -0.29 -14.21 16 21 H 0.06 1.56 7.76 -52.48 -0.41 1.16 16 22 C 0.06 1.74 5.23 -17.82 -0.09 1.64 16 23 N -0.88 -25.56 11.70 55.43 0.65 -24.91 16 24 Si 0.89 21.03 29.54 -169.99 -5.02 16.01 16 25 H -0.28 -6.54 7.11 56.52 0.40 -6.13 16 26 H -0.29 -6.80 7.11 56.52 0.40 -6.40 16 27 H -0.27 -6.34 7.11 56.52 0.40 -5.94 16 28 C 0.11 2.68 5.40 -3.71 -0.02 2.65 16 29 C 0.11 1.22 5.17 -3.71 -0.02 1.20 16 30 H 0.05 0.35 8.14 -51.93 -0.42 -0.08 16 31 H 0.05 0.30 8.14 -51.93 -0.42 -0.13 16 32 H 0.06 0.32 6.42 -51.93 -0.33 -0.01 16 33 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 34 H 0.05 0.35 8.14 -51.93 -0.42 -0.07 16 35 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 36 H 0.06 0.47 6.56 -51.93 -0.34 0.13 16 37 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 38 H 0.07 0.44 6.38 -51.93 -0.33 0.11 16 39 H 0.08 0.56 8.14 -51.93 -0.42 0.14 16 40 H 0.07 0.64 8.14 -51.93 -0.42 0.22 16 41 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 42 H 0.09 1.19 6.29 -51.93 -0.33 0.87 16 43 H 0.07 0.99 6.31 -51.93 -0.33 0.66 16 44 H 0.07 0.95 8.14 -51.92 -0.42 0.52 16 45 H 0.06 0.85 8.14 -51.93 -0.42 0.43 16 46 H 0.06 1.17 8.14 -51.93 -0.42 0.75 16 47 H 0.05 0.95 8.14 -51.93 -0.42 0.53 16 48 H 0.05 1.06 8.14 -51.93 -0.42 0.64 16 49 H 0.26 7.38 8.31 -40.82 -0.34 7.04 16 50 H 0.05 1.15 8.14 -51.93 -0.42 0.72 16 51 H 0.12 3.23 5.42 -51.93 -0.28 2.95 16 52 H 0.10 1.17 5.64 -51.93 -0.29 0.87 16 53 H 0.07 0.66 8.14 -51.93 -0.42 0.24 16 LS Contribution 401.62 15.07 6.05 6.05 Total: -1.00 -31.97 401.62 -9.70 -41.67 By element: Atomic # 1 Polarization: 9.79 SS G_CDS: -9.39 Total: 0.40 kcal Atomic # 6 Polarization: 5.95 SS G_CDS: -1.14 Total: 4.81 kcal Atomic # 7 Polarization: -45.46 SS G_CDS: -0.38 Total: -45.84 kcal Atomic # 8 Polarization: -23.28 SS G_CDS: 0.18 Total: -23.10 kcal Atomic # 14 Polarization: 21.03 SS G_CDS: -5.02 Total: 16.01 kcal Total LS contribution 6.05 Total: 6.05 kcal Total: -31.97 -9.70 -41.67 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. ZINC001329662960.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 -50.831 kcal (2) G-P(sol) polarization free energy of solvation -31.975 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -82.806 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.697 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.672 kcal (6) G-S(sol) free energy of system = (1) + (5) -92.503 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.03 seconds