Wall clock time and date at job start Tue Mar 31 2020 19:20:47 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 1.53001 * 1 3 3 C 1.52999 * 109.47281 * 2 1 4 4 C 1.53005 * 109.46840 * 119.99972 * 2 1 3 5 5 C 1.52999 * 109.46968 * 176.51793 * 4 2 1 6 6 H 1.09000 * 109.87637 * 54.07970 * 5 4 2 7 7 C 1.54331 * 109.88130 * 293.06418 * 5 4 2 8 8 C 1.55405 * 102.82749 * 218.48571 * 7 5 4 9 9 C 1.54908 * 101.66837 * 35.33712 * 8 7 5 10 10 N 1.47019 * 109.88501 * 175.09869 * 5 4 2 11 11 C 1.34783 * 125.64520 * 298.39461 * 10 5 4 12 12 O 1.21338 * 119.99953 * 354.60219 * 11 10 5 13 13 C 1.49454 * 119.99725 * 174.60528 * 11 10 5 14 14 O 1.21348 * 120.00203 * 6.42348 * 13 11 10 15 15 N 1.34769 * 119.99835 * 186.41720 * 13 11 10 16 16 C 1.46934 * 120.63038 * 7.15361 * 15 13 11 17 17 C 1.53187 * 108.77641 * 126.36743 * 16 15 13 18 18 C 1.53045 * 109.31701 * 54.63300 * 17 16 15 19 19 C 1.53046 * 109.53462 * 298.63841 * 18 17 16 20 20 H 1.08994 * 109.49613 * 301.40903 * 19 18 17 21 21 C 1.50698 * 109.49369 * 181.31171 * 19 18 17 22 22 H 1.08001 * 119.99993 * 359.97438 * 21 19 18 23 23 C 1.37873 * 120.00144 * 179.97438 * 21 19 18 24 24 N 1.31519 * 119.99839 * 0.02562 * 23 21 19 25 25 Si 1.86801 * 120.00206 * 180.02562 * 23 21 19 26 26 H 1.48497 * 109.47179 * 0.02562 * 25 23 21 27 27 H 1.48501 * 109.47068 * 120.00377 * 25 23 21 28 28 H 1.48505 * 109.46889 * 240.00064 * 25 23 21 29 29 C 1.46932 * 120.63386 * 186.86895 * 15 13 11 30 30 H 1.09004 * 109.47116 * 299.99984 * 1 2 3 31 31 H 1.08995 * 109.46998 * 60.00046 * 1 2 3 32 32 H 1.08996 * 109.47240 * 180.02562 * 1 2 3 33 33 H 1.08996 * 109.46749 * 239.99240 * 2 1 3 34 34 H 1.08996 * 109.46885 * 185.24317 * 3 2 1 35 35 H 1.08999 * 109.46620 * 305.23614 * 3 2 1 36 36 H 1.08994 * 109.47277 * 65.23979 * 3 2 1 37 37 H 1.09004 * 109.47249 * 56.51628 * 4 2 1 38 38 H 1.08997 * 109.47054 * 296.51520 * 4 2 1 39 39 H 1.09006 * 110.72019 * 336.75300 * 7 5 4 40 40 H 1.08996 * 110.72333 * 100.02612 * 7 5 4 41 41 H 1.09003 * 110.88535 * 277.26371 * 8 7 5 42 42 H 1.08997 * 111.03596 * 153.47698 * 8 7 5 43 43 H 1.08997 * 110.36399 * 204.24187 * 9 8 7 44 44 H 1.08998 * 110.46045 * 81.96018 * 9 8 7 45 45 H 1.08995 * 109.58383 * 246.15380 * 16 15 13 46 46 H 1.08999 * 109.58627 * 6.57376 * 16 15 13 47 47 H 1.09000 * 109.50043 * 174.59002 * 17 16 15 48 48 H 1.09002 * 109.49807 * 294.68344 * 17 16 15 49 49 H 1.09001 * 109.45289 * 58.65365 * 18 17 16 50 50 H 1.08999 * 109.46258 * 178.61510 * 18 17 16 51 51 H 0.97000 * 119.99836 * 180.02562 * 24 23 21 52 52 H 1.08996 * 109.58345 * 353.42598 * 29 15 13 53 53 H 1.08997 * 109.58341 * 113.84742 * 29 15 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 6 2.0400 1.4425 0.0000 4 6 2.0400 -0.7213 1.2493 5 6 3.5674 -0.7976 1.2063 6 1 3.9846 0.2000 1.0688 7 6 4.0146 -1.7173 0.0505 8 6 5.2288 -2.4718 0.6600 9 6 4.7885 -2.6332 2.1363 10 7 4.0742 -1.3837 2.4558 11 6 3.9118 -0.8650 3.6891 12 8 3.3888 0.2212 3.8265 13 6 4.3761 -1.6278 4.8876 14 8 5.0025 -2.6575 4.7462 15 7 4.0993 -1.1719 6.1252 16 6 3.2122 -0.0163 6.3164 17 6 2.0961 -0.4072 7.2900 18 6 2.7163 -0.9439 8.5821 19 6 3.5456 -2.1922 8.2716 20 1 2.9085 -2.9467 7.8104 21 6 4.1296 -2.7384 9.5490 22 1 3.9298 -2.2448 10.4885 23 6 4.9188 -3.8685 9.5182 24 7 5.1625 -4.4694 8.3739 25 14 5.6421 -4.5461 11.1016 26 1 5.2208 -3.6942 12.2426 27 1 5.1560 -5.9331 11.3140 28 1 7.1241 -4.5500 11.0068 29 6 4.6738 -1.8249 7.3095 30 1 -0.3633 0.5138 0.8900 31 1 -0.3633 0.5138 -0.8900 32 1 -0.3633 -1.0276 0.0005 33 1 1.8933 -0.5139 -0.8899 34 1 3.1260 1.4438 -0.0939 35 1 1.6021 1.9826 -0.8394 36 1 1.7554 1.9285 0.9331 37 1 1.6265 -1.7294 1.2811 38 1 1.7285 -0.1726 2.1381 39 1 3.2212 -2.4158 -0.2157 40 1 4.3182 -1.1289 -0.8153 41 1 6.1360 -1.8720 0.5861 42 1 5.3648 -3.4431 0.1844 43 1 5.6594 -2.7478 2.7816 44 1 4.1222 -3.4892 2.2438 45 1 3.7814 0.8169 6.7285 46 1 2.7778 0.2731 5.3595 47 1 1.4866 0.4680 7.5152 48 1 1.4726 -1.1786 6.8380 49 1 3.3591 -0.1806 9.0206 50 1 1.9244 -1.1998 9.2861 51 1 5.7175 -5.2646 8.3523 52 1 5.2034 -2.7285 7.0076 53 1 5.3645 -1.1421 7.8042 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 ZINC001328139915.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 19:20:47 Heat of formation + Delta-G solvation = -72.631582 kcal Electronic energy + Delta-G solvation = -31149.218681 eV Core-core repulsion = 27213.562932 eV Total energy + Delta-G solvation = -3935.655749 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.37 seconds Orbital eigenvalues (eV) -40.75416 -39.09776 -37.53168 -36.85115 -35.95089 -33.30500 -31.87061 -31.50383 -30.27844 -29.73517 -27.36610 -26.15189 -25.65097 -24.98474 -23.61517 -22.04540 -21.67896 -21.11028 -19.86427 -19.30288 -18.45335 -17.00110 -16.76802 -16.36972 -15.83076 -15.54613 -15.33932 -14.81195 -14.49899 -14.22292 -13.97149 -13.78047 -13.71880 -13.45257 -13.35467 -13.14295 -12.92944 -12.80482 -12.57468 -12.47967 -12.24551 -12.13520 -11.92004 -11.79369 -11.52546 -11.30041 -11.20289 -11.17552 -10.98831 -10.83990 -10.74720 -10.66476 -10.54827 -10.41851 -10.26935 -10.00727 -9.81131 -9.16180 -9.09720 -8.72667 -8.48490 -8.39534 -7.79088 -6.01084 -4.09549 1.86196 2.62076 3.29341 3.37701 3.41173 3.67794 3.84778 4.36851 4.42818 4.44208 4.56601 4.72277 4.75338 4.78020 4.89844 5.15336 5.24333 5.25923 5.29071 5.45051 5.48245 5.56211 5.59306 5.63704 5.67991 5.68577 5.71466 5.74507 5.81221 5.89500 5.91151 5.98296 6.01836 6.06819 6.17421 6.17899 6.24885 6.33090 6.39245 6.50038 6.62827 6.71931 6.87682 7.00121 7.07625 7.21449 7.37303 7.60544 7.83223 7.94243 7.98780 8.20520 8.36975 8.63400 8.94793 9.56023 11.04148 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.017527 B = 0.003047 C = 0.002732 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1597.165750 B = 9187.365074 C =10245.057193 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.147 4.147 2 C -0.091 4.091 3 C -0.149 4.149 4 C -0.127 4.127 5 C 0.134 3.866 6 H 0.081 0.919 7 C -0.127 4.127 8 C -0.137 4.137 9 C 0.098 3.902 10 N -0.590 5.590 11 C 0.524 3.476 12 O -0.518 6.518 13 C 0.496 3.504 14 O -0.518 6.518 15 N -0.569 5.569 16 C 0.067 3.933 17 C -0.133 4.133 18 C -0.112 4.112 19 C 0.041 3.959 20 H 0.029 0.971 21 C -0.518 4.518 22 H 0.059 0.941 23 C 0.062 3.938 24 N -0.881 5.881 25 Si 0.893 3.107 26 H -0.273 1.273 27 H -0.284 1.284 28 H -0.284 1.284 29 C 0.109 3.891 30 H 0.055 0.945 31 H 0.053 0.947 32 H 0.053 0.947 33 H 0.070 0.930 34 H 0.054 0.946 35 H 0.052 0.948 36 H 0.058 0.942 37 H 0.064 0.936 38 H 0.077 0.923 39 H 0.078 0.922 40 H 0.080 0.920 41 H 0.075 0.925 42 H 0.085 0.915 43 H 0.102 0.898 44 H 0.072 0.928 45 H 0.059 0.941 46 H 0.130 0.870 47 H 0.060 0.940 48 H 0.056 0.944 49 H 0.049 0.951 50 H 0.050 0.950 51 H 0.263 0.737 52 H 0.124 0.876 53 H 0.047 0.953 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.620 8.078 -19.320 21.444 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 -0.204 4.204 2 C -0.110 4.110 3 C -0.206 4.206 4 C -0.166 4.166 5 C 0.031 3.969 6 H 0.099 0.901 7 C -0.165 4.165 8 C -0.175 4.175 9 C -0.024 4.024 10 N -0.324 5.324 11 C 0.309 3.691 12 O -0.396 6.396 13 C 0.277 3.723 14 O -0.395 6.395 15 N -0.301 5.301 16 C -0.055 4.055 17 C -0.171 4.171 18 C -0.150 4.150 19 C 0.021 3.979 20 H 0.047 0.953 21 C -0.557 4.557 22 H 0.078 0.922 23 C -0.141 4.141 24 N -0.519 5.519 25 Si 0.720 3.280 26 H -0.198 1.198 27 H -0.210 1.210 28 H -0.210 1.210 29 C -0.011 4.011 30 H 0.074 0.926 31 H 0.072 0.928 32 H 0.072 0.928 33 H 0.088 0.912 34 H 0.073 0.927 35 H 0.071 0.929 36 H 0.077 0.923 37 H 0.083 0.917 38 H 0.096 0.904 39 H 0.097 0.903 40 H 0.099 0.901 41 H 0.093 0.907 42 H 0.103 0.897 43 H 0.121 0.879 44 H 0.091 0.909 45 H 0.077 0.923 46 H 0.147 0.853 47 H 0.078 0.922 48 H 0.075 0.925 49 H 0.068 0.932 50 H 0.069 0.931 51 H 0.073 0.927 52 H 0.142 0.858 53 H 0.066 0.934 Dipole moment (debyes) X Y Z Total from point charges -4.456 7.978 -19.274 21.331 hybrid contribution 0.395 -0.430 0.996 1.155 sum -4.061 7.548 -18.279 20.188 Atomic orbital electron populations 1.21830 0.95149 1.01690 1.01760 1.21053 0.95779 0.96381 0.97813 1.21892 1.00917 0.95906 1.01920 1.22045 0.94218 1.01188 0.99115 1.21754 0.94396 0.97670 0.83084 0.90107 1.22784 0.98409 0.98495 0.96846 1.22904 0.98025 1.01334 0.95200 1.22624 0.98142 0.85884 0.95734 1.48420 1.53740 1.25142 1.05127 1.20448 0.79267 0.85786 0.83603 1.90416 1.43955 1.21092 1.84133 1.19757 0.82557 0.85690 0.84313 1.90722 1.40843 1.22746 1.85209 1.48419 1.45246 1.30760 1.05665 1.22770 0.91762 0.87363 1.03577 1.21952 0.97443 1.00260 0.97446 1.21656 0.99101 0.99214 0.95036 1.18886 0.92567 0.91920 0.94485 0.95285 1.21126 1.31105 1.10579 0.92877 0.92231 1.25063 0.96250 0.96574 0.96211 1.69896 1.37827 1.19853 1.24285 0.86526 0.78876 0.78874 0.83678 1.19782 1.21010 1.20975 1.22379 0.97865 0.98210 0.82629 0.92560 0.92781 0.92772 0.91168 0.92661 0.92938 0.92294 0.91697 0.90423 0.90304 0.90089 0.90662 0.89678 0.87946 0.90949 0.92306 0.85324 0.92179 0.92511 0.93198 0.93096 0.92733 0.85791 0.93431 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 -0.15 -1.17 9.19 37.16 0.34 -0.82 16 2 C -0.09 -0.76 2.83 -90.62 -0.26 -1.02 16 3 C -0.15 -1.24 8.79 37.16 0.33 -0.92 16 4 C -0.13 -1.36 4.17 -26.73 -0.11 -1.47 16 5 C 0.13 1.47 2.71 -66.95 -0.18 1.29 16 6 H 0.08 0.92 6.39 -51.93 -0.33 0.58 16 7 C -0.13 -1.04 5.56 -24.76 -0.14 -1.17 16 8 C -0.14 -1.22 7.09 -24.45 -0.17 -1.40 16 9 C 0.10 1.28 5.98 -2.53 -0.02 1.26 16 10 N -0.59 -8.44 3.07 -163.52 -0.50 -8.94 16 11 C 0.52 9.14 7.50 -11.58 -0.09 9.05 16 12 O -0.52 -9.17 12.32 5.51 0.07 -9.10 16 13 C 0.50 10.27 7.71 -11.59 -0.09 10.18 16 14 O -0.52 -11.82 13.29 5.50 0.07 -11.75 16 15 N -0.57 -12.11 2.98 -173.54 -0.52 -12.63 16 16 C 0.07 1.23 6.03 -3.71 -0.02 1.21 16 17 C -0.13 -2.38 6.08 -26.61 -0.16 -2.55 16 18 C -0.11 -2.34 5.11 -26.68 -0.14 -2.47 16 19 C 0.04 1.02 2.24 -91.87 -0.21 0.81 16 20 H 0.03 0.81 8.14 -51.93 -0.42 0.39 16 21 C -0.52 -14.09 8.56 -34.44 -0.29 -14.38 16 22 H 0.06 1.59 7.74 -52.49 -0.41 1.19 16 23 C 0.06 1.70 5.31 -17.82 -0.09 1.60 16 24 N -0.88 -25.39 11.39 55.43 0.63 -24.75 16 25 Si 0.89 21.19 29.54 -169.99 -5.02 16.17 16 26 H -0.27 -6.38 7.11 56.52 0.40 -5.98 16 27 H -0.28 -6.73 7.11 56.52 0.40 -6.33 16 28 H -0.28 -6.71 7.11 56.52 0.40 -6.31 16 29 C 0.11 2.67 5.39 -3.93 -0.02 2.64 16 30 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 31 H 0.05 0.37 8.14 -51.93 -0.42 -0.05 16 32 H 0.05 0.42 8.14 -51.93 -0.42 -0.01 16 33 H 0.07 0.51 7.37 -51.93 -0.38 0.13 16 34 H 0.05 0.45 6.66 -51.93 -0.35 0.10 16 35 H 0.05 0.38 8.14 -51.93 -0.42 -0.05 16 36 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 37 H 0.06 0.70 8.03 -51.93 -0.42 0.29 16 38 H 0.08 1.02 6.90 -51.93 -0.36 0.66 16 39 H 0.08 0.59 7.77 -51.93 -0.40 0.19 16 40 H 0.08 0.52 8.14 -51.93 -0.42 0.10 16 41 H 0.07 0.65 8.14 -51.93 -0.42 0.23 16 42 H 0.08 0.62 8.14 -51.93 -0.42 0.20 16 43 H 0.10 1.55 6.33 -51.93 -0.33 1.23 16 44 H 0.07 0.96 8.14 -51.93 -0.42 0.54 16 45 H 0.06 1.03 8.14 -51.93 -0.42 0.61 16 46 H 0.13 2.30 4.21 -55.34 -0.23 2.07 16 47 H 0.06 0.91 8.14 -51.93 -0.42 0.49 16 48 H 0.06 1.05 8.14 -51.93 -0.42 0.63 16 49 H 0.05 1.01 8.14 -51.93 -0.42 0.59 16 50 H 0.05 1.03 8.14 -51.93 -0.42 0.61 16 51 H 0.26 7.25 8.31 -40.82 -0.34 6.91 16 52 H 0.12 3.46 5.11 -51.93 -0.27 3.20 16 53 H 0.05 1.16 8.14 -51.93 -0.42 0.74 16 LS Contribution 399.24 15.07 6.02 6.02 Total: -1.00 -30.06 399.24 -9.94 -40.00 By element: Atomic # 1 Polarization: 12.51 SS G_CDS: -9.37 Total: 3.14 kcal Atomic # 6 Polarization: 3.17 SS G_CDS: -1.32 Total: 1.85 kcal Atomic # 7 Polarization: -45.94 SS G_CDS: -0.39 Total: -46.32 kcal Atomic # 8 Polarization: -20.99 SS G_CDS: 0.14 Total: -20.85 kcal Atomic # 14 Polarization: 21.19 SS G_CDS: -5.02 Total: 16.17 kcal Total LS contribution 6.02 Total: 6.02 kcal Total: -30.06 -9.94 -40.00 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. ZINC001328139915.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 -32.633 kcal (2) G-P(sol) polarization free energy of solvation -30.056 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -62.689 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.942 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.998 kcal (6) G-S(sol) free energy of system = (1) + (5) -72.632 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.37 seconds