Wall clock time and date at job start Tue Mar 31 2020 21:19:17 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 1.52994 * 1 3 3 C 1.53003 * 109.47186 * 2 1 4 4 F 1.39898 * 109.47105 * 239.99867 * 2 1 3 5 5 C 1.50706 * 109.47429 * 120.00180 * 2 1 3 6 6 O 1.21280 * 119.99815 * 351.83867 * 5 2 1 7 7 N 1.34777 * 120.00118 * 171.84084 * 5 2 1 8 8 C 1.46927 * 120.62893 * 5.27767 * 7 5 2 9 9 C 1.53193 * 108.77439 * 233.58350 * 8 7 5 10 10 C 1.53040 * 109.30935 * 305.36760 * 9 8 7 11 11 C 1.52998 * 109.45649 * 181.38749 * 10 9 8 12 12 H 1.09009 * 113.00540 * 189.12814 * 11 10 9 13 13 N 1.47786 * 113.93844 * 321.08898 * 11 10 9 14 14 C 1.36940 * 134.37454 * 270.33421 * 13 11 10 15 15 H 1.07999 * 119.99869 * 4.88869 * 14 13 11 16 16 C 1.38813 * 120.00081 * 184.88728 * 14 13 11 17 17 N 1.31622 * 119.99523 * 5.16885 * 16 14 13 18 18 Si 1.86793 * 120.00255 * 185.16789 * 16 14 13 19 19 H 1.48495 * 109.47192 * 84.99371 * 18 16 14 20 20 H 1.48497 * 109.47375 * 205.00066 * 18 16 14 21 21 H 1.48504 * 109.47029 * 324.99793 * 18 16 14 22 22 C 1.47777 * 91.25101 * 90.35208 * 13 11 10 23 23 C 1.52964 * 85.76412 * 23.87723 * 22 13 11 24 24 C 1.52800 * 121.30181 * 102.44810 * 23 22 13 25 25 C 1.53975 * 86.73858 * 101.25108 * 24 23 22 26 26 C 1.52800 * 121.30111 * 211.47504 * 23 22 13 27 27 C 1.53039 * 109.53982 * 61.36483 * 10 9 8 28 28 C 1.46918 * 120.63195 * 185.25003 * 7 5 2 29 29 H 1.09000 * 109.46838 * 299.99728 * 1 2 3 30 30 H 1.08993 * 109.47326 * 60.00100 * 1 2 3 31 31 H 1.09000 * 109.46965 * 180.02562 * 1 2 3 32 32 H 1.08999 * 109.47455 * 184.79531 * 3 2 1 33 33 H 1.08998 * 109.46977 * 304.79779 * 3 2 1 34 34 H 1.09000 * 109.47037 * 64.79659 * 3 2 1 35 35 H 1.09007 * 109.58440 * 113.79775 * 8 7 5 36 36 H 1.08998 * 109.70813 * 353.44344 * 8 7 5 37 37 H 1.09000 * 109.49461 * 185.41719 * 9 8 7 38 38 H 1.08995 * 109.49593 * 65.31503 * 9 8 7 39 39 H 1.09007 * 109.45986 * 301.35444 * 10 9 8 40 40 H 0.97004 * 119.99400 * 180.02562 * 17 16 14 41 41 H 1.09000 * 113.82740 * 269.67108 * 22 13 11 42 42 H 1.09002 * 113.82701 * 138.08386 * 22 13 11 43 43 H 1.09001 * 113.66866 * 215.70700 * 24 23 22 44 44 H 1.08993 * 113.66736 * 346.79003 * 24 23 22 45 45 H 1.09007 * 113.57536 * 270.03568 * 25 24 23 46 46 H 1.08996 * 113.65002 * 139.26616 * 25 24 23 47 47 H 1.08992 * 113.67088 * 13.21082 * 26 23 22 48 48 H 1.09006 * 113.66629 * 144.19873 * 26 23 22 49 49 H 1.08999 * 109.49607 * 58.58802 * 27 10 9 50 50 H 1.09000 * 109.49608 * 178.68252 * 27 10 9 51 51 H 1.09002 * 109.59203 * 246.20540 * 28 7 5 52 52 H 1.09002 * 109.58890 * 6.62878 * 28 7 5 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 9 1.9963 -0.6595 -1.1422 5 6 2.0324 -0.7105 1.2305 6 8 1.2543 -1.0405 2.1003 7 7 3.3463 -0.9790 1.3643 8 6 4.3156 -0.4852 0.3767 9 6 5.1437 -1.6680 -0.1354 10 6 5.7736 -2.3972 1.0535 11 6 6.6295 -3.5584 0.5438 12 1 6.9782 -4.2133 1.3425 13 7 6.0405 -4.2787 -0.6043 14 6 5.1966 -5.3496 -0.7323 15 1 4.7590 -5.8002 0.1462 16 6 4.9037 -5.8558 -1.9912 17 7 5.5144 -5.3737 -3.0528 18 14 3.6429 -7.2213 -2.1786 19 1 2.2823 -6.6316 -2.2554 20 1 3.9220 -7.9858 -3.4207 21 1 3.7222 -8.1323 -1.0085 22 6 6.7255 -3.3828 -1.5593 23 6 7.7288 -3.1344 -0.4317 24 6 9.0995 -3.8097 -0.4255 25 6 9.6636 -2.4712 -0.9364 26 6 8.4439 -1.7918 -0.2869 27 6 4.6700 -2.9388 1.9649 28 6 3.8367 -1.7705 2.5008 29 1 -0.3633 0.5138 0.8900 30 1 -0.3633 0.5138 -0.8899 31 1 -0.3633 -1.0277 0.0005 32 1 3.1266 1.4438 -0.0859 33 1 1.6082 1.9805 -0.8439 34 1 1.7485 1.9309 0.9298 35 1 4.9742 0.2463 0.8452 36 1 3.7877 -0.0210 -0.4562 37 1 5.9298 -1.3027 -0.7962 38 1 4.4977 -2.3546 -0.6825 39 1 6.3999 -1.7035 1.6146 40 1 5.3094 -5.7272 -3.9325 41 1 6.1435 -2.5027 -1.8325 42 1 7.1500 -3.8990 -2.4204 43 1 9.4495 -4.0803 0.5707 44 1 9.1889 -4.6248 -1.1436 45 1 9.6795 -2.3912 -2.0234 46 1 10.6127 -2.1933 -0.4782 47 1 8.0105 -0.9974 -0.8943 48 1 8.6077 -1.4927 0.7485 49 1 4.0285 -3.6135 1.3980 50 1 5.1190 -3.4781 2.7990 51 1 4.4561 -1.1439 3.1424 52 1 2.9906 -2.1559 3.0698 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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 ZINC001093351963.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 21:19:17 Heat of formation + Delta-G solvation = 1.384996 kcal Electronic energy + Delta-G solvation = -32526.490747 eV Core-core repulsion = 28443.272814 eV Total energy + Delta-G solvation = -4083.217933 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 338.211 amu Computer time = 1.25 seconds Orbital eigenvalues (eV) -47.94964 -40.49568 -39.62090 -37.13018 -35.00734 -33.90017 -32.60865 -31.37151 -30.71468 -27.67968 -27.23237 -26.55555 -25.25750 -24.27597 -23.16398 -23.09540 -22.00427 -20.52895 -19.78581 -18.84651 -17.61809 -17.06741 -16.58366 -16.35891 -15.99859 -15.19293 -15.08970 -14.70329 -14.66650 -14.43104 -14.30598 -14.16041 -13.73305 -13.28223 -13.15725 -13.03904 -12.68329 -12.59697 -12.42539 -12.33903 -12.22656 -12.02140 -11.95755 -11.84472 -11.64152 -11.25229 -11.03124 -10.93828 -10.87295 -10.83375 -10.65944 -10.47736 -10.31582 -10.16221 -9.98175 -9.70699 -9.57445 -9.39230 -9.28324 -9.02576 -8.72624 -8.43477 -6.74014 -5.69158 -3.00651 2.46259 2.95869 3.43153 3.48625 3.49292 4.11281 4.30557 4.48994 4.51444 4.65187 4.93195 5.03179 5.14211 5.19764 5.22314 5.28384 5.31025 5.33839 5.37905 5.40047 5.49728 5.50344 5.55326 5.60778 5.71338 5.77703 5.83327 5.84380 5.92859 5.98962 6.04852 6.06109 6.09250 6.18679 6.21119 6.29312 6.31580 6.43502 6.54328 6.60992 6.67755 6.74362 6.85652 6.92115 7.04532 7.12599 7.31998 7.41076 7.48252 7.68231 8.06458 8.08098 9.12118 9.79081 10.69612 11.46063 Molecular weight = 338.21amu Principal moments of inertia in cm(-1) A = 0.009592 B = 0.004995 C = 0.003899 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2918.500463 B = 5604.759632 C = 7178.804394 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.156 4.156 2 C 0.101 3.899 3 C -0.180 4.180 4 F -0.186 7.186 5 C 0.502 3.498 6 O -0.536 6.536 7 N -0.591 5.591 8 C 0.089 3.911 9 C -0.124 4.124 10 C -0.085 4.085 11 C 0.156 3.844 12 H 0.050 0.950 13 N -0.592 5.592 14 C -0.214 4.214 15 H 0.074 0.926 16 C -0.005 4.005 17 N -0.917 5.917 18 Si 0.903 3.097 19 H -0.290 1.290 20 H -0.291 1.291 21 H -0.283 1.283 22 C 0.168 3.832 23 C -0.115 4.115 24 C -0.109 4.109 25 C -0.138 4.138 26 C -0.131 4.131 27 C -0.124 4.124 28 C 0.113 3.887 29 H 0.081 0.919 30 H 0.073 0.927 31 H 0.074 0.926 32 H 0.081 0.919 33 H 0.080 0.920 34 H 0.079 0.921 35 H 0.063 0.937 36 H 0.093 0.907 37 H 0.081 0.919 38 H 0.088 0.912 39 H 0.060 0.940 40 H 0.251 0.749 41 H 0.039 0.961 42 H 0.075 0.925 43 H 0.070 0.930 44 H 0.067 0.933 45 H 0.076 0.924 46 H 0.055 0.945 47 H 0.061 0.939 48 H 0.071 0.929 49 H 0.076 0.924 50 H 0.067 0.933 51 H 0.064 0.936 52 H 0.086 0.914 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.431 14.988 6.878 16.496 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 -0.214 4.214 2 C 0.080 3.920 3 C -0.237 4.237 4 F -0.166 7.166 5 C 0.287 3.713 6 O -0.413 6.413 7 N -0.323 5.323 8 C -0.033 4.033 9 C -0.162 4.162 10 C -0.106 4.106 11 C 0.048 3.952 12 H 0.068 0.932 13 N -0.315 5.315 14 C -0.342 4.342 15 H 0.092 0.908 16 C -0.202 4.202 17 N -0.565 5.565 18 Si 0.734 3.266 19 H -0.217 1.217 20 H -0.218 1.218 21 H -0.208 1.208 22 C 0.043 3.957 23 C -0.117 4.117 24 C -0.147 4.147 25 C -0.176 4.176 26 C -0.169 4.169 27 C -0.163 4.163 28 C -0.009 4.009 29 H 0.100 0.900 30 H 0.092 0.908 31 H 0.093 0.907 32 H 0.100 0.900 33 H 0.099 0.901 34 H 0.098 0.902 35 H 0.082 0.918 36 H 0.111 0.889 37 H 0.099 0.901 38 H 0.106 0.894 39 H 0.079 0.921 40 H 0.061 0.939 41 H 0.056 0.944 42 H 0.093 0.907 43 H 0.088 0.912 44 H 0.086 0.914 45 H 0.094 0.906 46 H 0.074 0.926 47 H 0.080 0.920 48 H 0.090 0.910 49 H 0.095 0.905 50 H 0.086 0.914 51 H 0.082 0.918 52 H 0.104 0.896 Dipole moment (debyes) X Y Z Total from point charges -0.139 14.491 7.115 16.144 hybrid contribution -0.713 -0.851 -0.266 1.141 sum -0.852 13.640 6.850 15.287 Atomic orbital electron populations 1.22146 0.91051 1.04603 1.03577 1.21118 0.96730 0.92894 0.81290 1.22614 1.03422 0.93278 1.04435 1.92950 1.89787 1.82590 1.51322 1.20779 0.82492 0.79849 0.88140 1.90680 1.55143 1.52932 1.42547 1.48072 1.06066 1.52067 1.26138 1.22335 0.91621 0.97687 0.91628 1.22210 0.99549 0.96264 0.98167 1.21414 0.95951 0.97673 0.95579 1.21957 0.90291 0.91107 0.91817 0.93168 1.45879 1.54865 1.30297 1.00466 1.18905 1.18820 1.03942 0.92540 0.90787 1.24679 1.00349 0.99639 0.95525 1.69814 1.44122 1.44802 0.97731 0.86274 0.81572 0.81716 0.77061 1.21732 1.21767 1.20847 1.22387 0.88231 0.92035 0.93016 1.23276 0.93367 0.94208 1.00801 1.22462 0.95119 0.96565 1.00525 1.22797 0.96863 0.97582 1.00348 1.22756 0.97076 0.97263 0.99844 1.21877 0.97848 0.97035 0.99496 1.21683 0.98735 0.92841 0.87621 0.89996 0.90771 0.90726 0.90013 0.90069 0.90224 0.91850 0.88904 0.90052 0.89360 0.92129 0.93854 0.94378 0.90710 0.91165 0.91384 0.90561 0.92615 0.92042 0.91005 0.90486 0.91410 0.91819 0.89560 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -0.16 -1.81 8.26 37.15 0.31 -1.51 16 2 C 0.10 1.33 1.20 -91.77 -0.11 1.22 16 3 C -0.18 -1.69 8.54 37.16 0.32 -1.37 16 4 F -0.19 -2.95 14.84 2.25 0.03 -2.91 16 5 C 0.50 7.89 6.78 -10.98 -0.07 7.81 16 6 O -0.54 -9.72 15.42 5.56 0.09 -9.64 16 7 N -0.59 -8.79 2.97 -172.77 -0.51 -9.30 16 8 C 0.09 1.20 4.96 -3.71 -0.02 1.18 16 9 C -0.12 -2.02 3.61 -26.61 -0.10 -2.12 16 10 C -0.08 -1.35 1.87 -90.58 -0.17 -1.52 16 11 C 0.16 2.95 4.23 -67.25 -0.28 2.67 16 12 H 0.05 0.98 8.14 -51.92 -0.42 0.56 16 13 N -0.59 -14.06 2.82 -175.47 -0.49 -14.56 16 14 C -0.21 -5.82 10.69 -15.06 -0.16 -5.98 16 15 H 0.07 2.00 7.83 -52.49 -0.41 1.59 16 16 C -0.01 -0.15 5.50 -17.43 -0.10 -0.25 16 17 N -0.92 -26.78 11.30 55.49 0.63 -26.16 16 18 Si 0.90 22.54 29.56 -169.99 -5.02 17.52 16 19 H -0.29 -7.34 7.11 56.52 0.40 -6.93 16 20 H -0.29 -7.33 7.11 56.52 0.40 -6.93 16 21 H -0.28 -6.91 7.11 56.52 0.40 -6.51 16 22 C 0.17 3.70 6.51 -3.36 -0.02 3.68 16 23 C -0.12 -2.03 0.86 -154.92 -0.13 -2.17 16 24 C -0.11 -1.81 7.86 -26.33 -0.21 -2.01 16 25 C -0.14 -1.92 8.08 -25.73 -0.21 -2.13 16 26 C -0.13 -1.83 6.52 -26.32 -0.17 -2.01 16 27 C -0.12 -1.99 5.36 -26.62 -0.14 -2.13 16 28 C 0.11 1.63 6.42 -3.72 -0.02 1.60 16 29 H 0.08 0.87 8.01 -51.93 -0.42 0.46 16 30 H 0.07 0.70 8.14 -51.93 -0.42 0.27 16 31 H 0.07 0.98 8.14 -51.93 -0.42 0.56 16 32 H 0.08 0.74 5.41 -51.93 -0.28 0.45 16 33 H 0.08 0.63 8.14 -51.93 -0.42 0.20 16 34 H 0.08 0.66 8.14 -51.93 -0.42 0.24 16 35 H 0.06 0.70 8.14 -51.92 -0.42 0.28 16 36 H 0.09 1.20 3.63 -51.93 -0.19 1.01 16 37 H 0.08 1.29 4.52 -51.93 -0.23 1.06 16 38 H 0.09 1.88 7.15 -51.93 -0.37 1.51 16 39 H 0.06 0.84 7.89 -51.93 -0.41 0.43 16 40 H 0.25 7.22 8.31 -40.82 -0.34 6.88 16 41 H 0.04 0.84 4.92 -51.93 -0.26 0.58 16 42 H 0.07 1.91 6.90 -51.93 -0.36 1.55 16 43 H 0.07 1.07 8.14 -51.93 -0.42 0.65 16 44 H 0.07 1.27 8.14 -51.93 -0.42 0.85 16 45 H 0.08 1.08 8.14 -51.92 -0.42 0.65 16 46 H 0.06 0.67 8.14 -51.93 -0.42 0.25 16 47 H 0.06 0.82 7.37 -51.93 -0.38 0.44 16 48 H 0.07 0.91 8.08 -51.93 -0.42 0.49 16 49 H 0.08 1.53 8.14 -51.93 -0.42 1.11 16 50 H 0.07 0.99 8.14 -51.93 -0.42 0.57 16 51 H 0.06 0.78 8.14 -51.93 -0.42 0.35 16 52 H 0.09 1.33 7.04 -51.93 -0.37 0.96 16 LS Contribution 388.38 15.07 5.85 5.85 Total: -1.00 -31.19 388.38 -9.45 -40.64 By element: Atomic # 1 Polarization: 12.31 SS G_CDS: -8.72 Total: 3.58 kcal Atomic # 6 Polarization: -3.74 SS G_CDS: -1.29 Total: -5.03 kcal Atomic # 7 Polarization: -49.63 SS G_CDS: -0.38 Total: -50.02 kcal Atomic # 8 Polarization: -9.72 SS G_CDS: 0.09 Total: -9.64 kcal Atomic # 9 Polarization: -2.95 SS G_CDS: 0.03 Total: -2.91 kcal Atomic # 14 Polarization: 22.54 SS G_CDS: -5.02 Total: 17.52 kcal Total LS contribution 5.85 Total: 5.85 kcal Total: -31.19 -9.45 -40.64 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. ZINC001093351963.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 42.027 kcal (2) G-P(sol) polarization free energy of solvation -31.190 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 10.837 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.452 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.642 kcal (6) G-S(sol) free energy of system = (1) + (5) 1.385 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.26 seconds