Wall clock time and date at job start Sat Apr 11 2020 06:11:00 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 1.53000 * 1 3 3 H 1.09001 * 109.47151 * 2 1 4 4 C 1.52999 * 109.47361 * 119.99810 * 2 1 3 5 5 C 1.50700 * 109.47218 * 295.00093 * 4 2 1 6 6 O 1.21285 * 119.99929 * 0.02562 * 5 4 2 7 7 N 1.34779 * 120.00099 * 180.27140 * 5 4 2 8 8 C 1.46500 * 120.00153 * 174.44406 * 7 5 4 9 9 C 1.53003 * 109.54141 * 304.03803 * 8 7 5 10 10 N 1.46496 * 109.46741 * 305.57746 * 9 8 7 11 11 C 1.36943 * 119.99919 * 175.02388 * 10 9 8 12 12 H 1.08007 * 119.99786 * 0.02562 * 11 10 9 13 13 C 1.38811 * 120.00124 * 179.97438 * 11 10 9 14 14 N 1.31619 * 120.00142 * 0.02562 * 13 11 10 15 15 Si 1.86796 * 120.00012 * 180.02562 * 13 11 10 16 16 H 1.48502 * 109.47282 * 90.00028 * 15 13 11 17 17 H 1.48502 * 109.47322 * 210.00434 * 15 13 11 18 18 H 1.48499 * 109.47073 * 330.00123 * 15 13 11 19 19 C 1.53174 * 109.54503 * 183.77004 * 8 7 5 20 20 C 1.53098 * 109.15950 * 297.11103 * 19 8 7 21 21 O 1.42893 * 109.41638 * 302.39172 * 20 19 8 22 22 C 1.42904 * 114.10237 * 61.16131 * 21 20 19 23 23 C 1.53091 * 109.41149 * 298.84141 * 22 21 20 24 24 C 1.52997 * 109.47208 * 240.00100 * 2 1 3 25 25 H 1.09005 * 109.82673 * 185.57368 * 24 2 1 26 26 C 1.54381 * 109.83550 * 64.58640 * 24 2 1 27 27 C 1.55300 * 102.25536 * 219.13186 * 26 24 2 28 28 C 1.54952 * 100.94357 * 34.13197 * 27 26 24 29 29 O 1.43243 * 109.83079 * 306.45331 * 24 2 1 30 30 H 1.09000 * 109.46903 * 60.00269 * 1 2 3 31 31 H 1.09001 * 109.47151 * 180.02562 * 1 2 3 32 32 H 1.08996 * 109.46778 * 300.00380 * 1 2 3 33 33 H 1.08998 * 109.47728 * 174.99426 * 4 2 1 34 34 H 1.09003 * 109.46808 * 54.99839 * 4 2 1 35 35 H 0.97003 * 119.99570 * 354.43938 * 7 5 4 36 36 H 1.08999 * 109.46874 * 65.57716 * 9 8 7 37 37 H 1.08994 * 109.47049 * 185.57817 * 9 8 7 38 38 H 0.96997 * 120.00724 * 355.02295 * 10 9 8 39 39 H 0.96995 * 120.00080 * 179.97438 * 14 13 11 40 40 H 1.09000 * 109.52076 * 57.01709 * 19 8 7 41 41 H 1.09001 * 109.52066 * 177.20860 * 19 8 7 42 42 H 1.09003 * 109.47423 * 182.40944 * 20 19 8 43 43 H 1.09001 * 109.49122 * 62.38267 * 20 19 8 44 44 H 1.08993 * 109.48502 * 178.86076 * 22 21 20 45 45 H 1.08998 * 109.48819 * 58.82285 * 22 21 20 46 46 H 1.08998 * 109.52476 * 297.70317 * 23 22 21 47 47 H 1.09001 * 109.52423 * 177.50763 * 23 22 21 48 48 H 1.08999 * 110.84355 * 337.32184 * 26 24 2 49 49 H 1.08995 * 110.84432 * 100.93496 * 26 24 2 50 50 H 1.08994 * 111.12625 * 276.20981 * 27 26 24 51 51 H 1.09002 * 111.16240 * 152.06383 * 27 26 24 52 52 H 1.08991 * 110.31037 * 204.63797 * 28 27 26 53 53 H 1.09006 * 110.30492 * 82.46906 * 28 27 26 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 1.8933 1.0277 0.0000 4 6 2.0401 -0.7212 1.2492 5 6 1.6414 0.0571 2.4766 6 8 1.0109 1.0870 2.3633 7 7 1.9897 -0.3887 3.6999 8 6 1.7096 0.4271 4.8840 9 6 2.3480 1.8076 4.7172 10 7 3.7755 1.6534 4.4262 11 6 4.5377 2.7534 4.1358 12 1 4.0866 3.7346 4.1216 13 6 5.8904 2.6074 3.8606 14 7 6.4404 1.4117 3.8783 15 14 6.9304 4.1079 3.4651 16 1 7.4994 4.6606 4.7205 17 1 8.0338 3.7185 2.5508 18 1 6.0845 5.1375 2.8096 19 6 2.2852 -0.2588 6.1268 20 6 1.5840 -1.6049 6.3279 21 8 0.1759 -1.3937 6.4482 22 6 -0.4254 -0.7982 5.2967 23 6 0.1950 0.5802 5.0542 24 6 2.0400 -0.7212 -1.2492 25 1 3.1255 -0.8116 -1.2067 26 6 1.6271 0.0640 -2.5127 27 6 1.2540 -1.0744 -3.5010 28 6 0.6556 -2.1229 -2.5296 29 8 1.4472 -2.0224 -1.3352 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3633 -1.0277 0.0005 32 1 -0.3633 0.5139 0.8899 33 1 3.1263 -0.7995 1.2056 34 1 1.6054 -1.7198 1.2952 35 1 2.4259 -1.2498 3.7962 36 1 1.8643 2.3345 3.8946 37 1 2.2243 2.3787 5.6372 38 1 4.1808 0.7723 4.4392 39 1 7.3855 1.3097 3.6856 40 1 3.3543 -0.4217 5.9906 41 1 2.1202 0.3719 7.0003 42 1 1.9595 -2.0782 7.2351 43 1 1.7831 -2.2500 5.4721 44 1 -1.4974 -0.6905 5.4611 45 1 -0.2528 -1.4325 4.4273 46 1 -0.0122 1.2279 5.9060 47 1 -0.2306 1.0174 4.1509 48 1 0.7651 0.6995 -2.3099 49 1 2.4621 0.6512 -2.8946 50 1 2.1393 -1.4644 -4.0032 51 1 0.5105 -0.7396 -4.2243 52 1 0.7379 -3.1230 -2.9550 53 1 -0.3866 -1.8872 -2.3139 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 ZINC001281282511.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 06:11:00 Heat of formation + Delta-G solvation = -126.433218 kcal Electronic energy + Delta-G solvation = -32367.605627 eV Core-core repulsion = 28239.160813 eV Total energy + Delta-G solvation = -4128.444814 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.95 seconds Orbital eigenvalues (eV) -40.51583 -39.79912 -38.29474 -35.84534 -34.22467 -33.59406 -32.21917 -31.66380 -31.00721 -30.37306 -28.60656 -27.48491 -26.41261 -23.74092 -23.61226 -23.21693 -21.93154 -21.44756 -20.73042 -19.46858 -18.88795 -17.21753 -17.15265 -16.78154 -16.08790 -15.88145 -15.75876 -15.39048 -15.19681 -14.60174 -14.50626 -14.26278 -14.08093 -13.94876 -13.52021 -13.49299 -13.12409 -12.81470 -12.69914 -12.40317 -12.33558 -12.14031 -11.88806 -11.75252 -11.67550 -11.49215 -11.47365 -11.24711 -11.12095 -10.89159 -10.88066 -10.80898 -10.60841 -10.53132 -10.44890 -10.25382 -10.04580 -9.68253 -9.53162 -9.39424 -9.08954 -8.74628 -8.43872 -6.84117 -5.73774 -2.99705 3.17097 3.44797 3.50424 3.52114 3.58881 3.77742 3.99568 4.37290 4.61738 4.64501 4.73674 4.85350 4.99470 5.03311 5.06354 5.10433 5.14268 5.19553 5.22144 5.29061 5.41641 5.49994 5.52502 5.56300 5.60225 5.62455 5.65447 5.76642 5.79163 5.80201 5.82615 5.88707 5.98759 6.00371 6.08562 6.11511 6.14626 6.22266 6.31600 6.35582 6.43898 6.51501 6.57032 6.62771 6.93962 7.00476 7.14453 7.30271 7.74866 7.99565 8.45960 8.76755 9.57486 10.15394 10.51460 11.49433 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.007466 B = 0.004491 C = 0.003071 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3749.227115 B = 6232.947322 C = 9116.451450 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 -0.081 4.081 3 H 0.088 0.912 4 C -0.132 4.132 5 C 0.528 3.472 6 O -0.534 6.534 7 N -0.717 5.717 8 C 0.176 3.824 9 C 0.143 3.857 10 N -0.724 5.724 11 C -0.228 4.228 12 H 0.067 0.933 13 C -0.015 4.015 14 N -0.937 5.937 15 Si 0.904 3.096 16 H -0.291 1.291 17 H -0.292 1.292 18 H -0.283 1.283 19 C -0.155 4.155 20 C 0.061 3.939 21 O -0.387 6.387 22 C 0.067 3.933 23 C -0.162 4.162 24 C 0.083 3.917 25 H 0.081 0.919 26 C -0.154 4.154 27 C -0.157 4.157 28 C 0.051 3.949 29 O -0.374 6.374 30 H 0.046 0.954 31 H 0.050 0.950 32 H 0.075 0.925 33 H 0.093 0.907 34 H 0.089 0.911 35 H 0.394 0.606 36 H 0.050 0.950 37 H 0.018 0.982 38 H 0.381 0.619 39 H 0.253 0.747 40 H 0.089 0.911 41 H 0.084 0.916 42 H 0.093 0.907 43 H 0.047 0.953 44 H 0.087 0.913 45 H 0.047 0.953 46 H 0.075 0.925 47 H 0.094 0.906 48 H 0.083 0.917 49 H 0.081 0.919 50 H 0.076 0.924 51 H 0.079 0.921 52 H 0.080 0.920 53 H 0.057 0.943 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.447 -9.802 -8.019 18.471 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 -0.100 4.100 3 H 0.107 0.893 4 C -0.172 4.172 5 C 0.315 3.685 6 O -0.411 6.411 7 N -0.368 5.368 8 C 0.089 3.911 9 C 0.015 3.985 10 N -0.368 5.368 11 C -0.360 4.360 12 H 0.085 0.915 13 C -0.210 4.210 14 N -0.586 5.586 15 Si 0.735 3.265 16 H -0.219 1.219 17 H -0.219 1.219 18 H -0.209 1.209 19 C -0.193 4.193 20 C -0.015 4.015 21 O -0.306 6.306 22 C -0.010 4.010 23 C -0.201 4.201 24 C 0.026 3.974 25 H 0.099 0.901 26 C -0.191 4.191 27 C -0.194 4.194 28 C -0.026 4.026 29 O -0.294 6.294 30 H 0.065 0.935 31 H 0.069 0.931 32 H 0.094 0.906 33 H 0.112 0.888 34 H 0.108 0.892 35 H 0.227 0.773 36 H 0.068 0.932 37 H 0.035 0.965 38 H 0.215 0.785 39 H 0.063 0.937 40 H 0.107 0.893 41 H 0.103 0.897 42 H 0.111 0.889 43 H 0.065 0.935 44 H 0.106 0.894 45 H 0.065 0.935 46 H 0.093 0.907 47 H 0.112 0.888 48 H 0.101 0.899 49 H 0.099 0.901 50 H 0.094 0.906 51 H 0.098 0.902 52 H 0.098 0.902 53 H 0.076 0.924 Dipole moment (debyes) X Y Z Total from point charges -13.917 -9.075 -7.816 18.361 hybrid contribution 1.385 0.425 -0.592 1.565 sum -12.532 -8.650 -8.408 17.394 Atomic orbital electron populations 1.21902 0.94656 1.01388 1.02488 1.21202 0.96977 0.99613 0.92196 0.89344 1.21641 1.03086 0.99926 0.92590 1.20402 0.78402 0.85424 0.84255 1.90569 1.39719 1.24404 1.86400 1.45966 1.62380 1.22397 1.06070 1.20526 0.93800 0.92649 0.84084 1.21062 0.86596 0.92260 0.98615 1.42197 1.02806 1.07394 1.84420 1.19228 0.90499 0.87865 1.38401 0.91452 1.24653 0.96792 0.96459 1.03136 1.69640 1.11612 1.20512 1.56857 0.86225 0.80180 0.82328 0.77725 1.21856 1.21893 1.20881 1.22436 1.01649 0.97230 0.97999 1.22595 0.81179 0.96083 1.01674 1.87886 1.21346 1.81727 1.39598 1.22499 0.97093 0.93255 0.88158 1.22549 0.95710 0.97968 1.03906 1.22855 0.97478 0.82604 0.94462 0.90072 1.23231 1.02811 0.98357 0.94703 1.23250 1.01587 0.96262 0.98334 1.23331 0.95010 0.99243 0.84988 1.88412 1.66111 1.32332 1.42535 0.93529 0.93080 0.90570 0.88823 0.89217 0.77253 0.93215 0.96481 0.78485 0.93734 0.89265 0.89700 0.88905 0.93524 0.89441 0.93457 0.90667 0.88790 0.89873 0.90058 0.90552 0.90237 0.90189 0.92446 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 -1.88 8.47 37.16 0.31 -1.57 16 2 C -0.08 -1.09 1.86 -90.62 -0.17 -1.26 16 3 H 0.09 1.38 7.96 -51.93 -0.41 0.97 16 4 C -0.13 -1.87 5.04 -27.88 -0.14 -2.01 16 5 C 0.53 8.72 6.96 -10.98 -0.08 8.64 16 6 O -0.53 -10.16 10.27 5.55 0.06 -10.10 16 7 N -0.72 -11.01 3.75 -47.43 -0.18 -11.19 16 8 C 0.18 2.86 0.32 -131.63 -0.04 2.82 16 9 C 0.14 3.01 4.80 -4.04 -0.02 2.99 16 10 N -0.72 -18.07 5.21 -59.91 -0.31 -18.38 16 11 C -0.23 -6.47 9.99 -15.06 -0.15 -6.62 16 12 H 0.07 1.91 7.83 -52.48 -0.41 1.50 16 13 C -0.02 -0.43 5.50 -17.43 -0.10 -0.53 16 14 N -0.94 -27.84 13.06 55.49 0.72 -27.11 16 15 Si 0.90 22.72 29.55 -169.99 -5.02 17.69 16 16 H -0.29 -7.29 7.11 56.52 0.40 -6.89 16 17 H -0.29 -7.38 7.11 56.52 0.40 -6.98 16 18 H -0.28 -7.01 7.11 56.52 0.40 -6.61 16 19 C -0.16 -2.31 4.82 -26.59 -0.13 -2.44 16 20 C 0.06 0.77 6.67 37.21 0.25 1.02 16 21 O -0.39 -5.37 10.76 -35.23 -0.38 -5.75 16 22 C 0.07 0.86 6.68 37.20 0.25 1.11 16 23 C -0.16 -2.39 4.81 -26.59 -0.13 -2.52 16 24 C 0.08 0.99 3.21 -26.01 -0.08 0.90 16 25 H 0.08 0.99 8.14 -51.93 -0.42 0.57 16 26 C -0.15 -1.50 6.36 -24.79 -0.16 -1.66 16 27 C -0.16 -1.27 7.16 -24.48 -0.18 -1.45 16 28 C 0.05 0.47 7.71 38.19 0.29 0.76 16 29 O -0.37 -4.52 9.82 -35.23 -0.35 -4.86 16 30 H 0.05 0.53 6.35 -51.93 -0.33 0.21 16 31 H 0.05 0.63 7.54 -51.93 -0.39 0.23 16 32 H 0.08 1.13 5.95 -51.93 -0.31 0.82 16 33 H 0.09 1.39 8.14 -51.93 -0.42 0.96 16 34 H 0.09 1.13 8.01 -51.93 -0.42 0.71 16 35 H 0.39 5.32 7.41 -40.82 -0.30 5.01 16 36 H 0.05 1.16 6.26 -51.93 -0.32 0.84 16 37 H 0.02 0.37 8.14 -51.93 -0.42 -0.05 16 38 H 0.38 9.73 6.52 -40.82 -0.27 9.47 16 39 H 0.25 7.33 8.31 -40.82 -0.34 6.99 16 40 H 0.09 1.46 7.23 -51.93 -0.38 1.09 16 41 H 0.08 1.29 8.14 -51.93 -0.42 0.87 16 42 H 0.09 1.03 8.14 -51.93 -0.42 0.60 16 43 H 0.05 0.53 7.02 -51.93 -0.36 0.17 16 44 H 0.09 1.00 8.14 -51.93 -0.42 0.57 16 45 H 0.05 0.60 7.75 -51.93 -0.40 0.20 16 46 H 0.07 1.09 8.14 -51.93 -0.42 0.67 16 47 H 0.09 1.51 6.25 -51.93 -0.32 1.19 16 48 H 0.08 0.81 6.07 -51.93 -0.32 0.50 16 49 H 0.08 0.75 8.14 -51.93 -0.42 0.33 16 50 H 0.08 0.59 8.14 -51.93 -0.42 0.17 16 51 H 0.08 0.53 8.14 -51.93 -0.42 0.10 16 52 H 0.08 0.63 8.14 -51.93 -0.42 0.20 16 53 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 LS Contribution 398.25 15.07 6.00 6.00 Total: -1.00 -32.14 398.25 -8.87 -41.01 By element: Atomic # 1 Polarization: 23.65 SS G_CDS: -9.15 Total: 14.49 kcal Atomic # 6 Polarization: -1.54 SS G_CDS: -0.26 Total: -1.80 kcal Atomic # 7 Polarization: -56.92 SS G_CDS: 0.23 Total: -56.69 kcal Atomic # 8 Polarization: -20.04 SS G_CDS: -0.67 Total: -20.71 kcal Atomic # 14 Polarization: 22.72 SS G_CDS: -5.02 Total: 17.69 kcal Total LS contribution 6.00 Total: 6.00 kcal Total: -32.14 -8.87 -41.01 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. ZINC001281282511.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 -85.426 kcal (2) G-P(sol) polarization free energy of solvation -32.138 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -117.564 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.869 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.007 kcal (6) G-S(sol) free energy of system = (1) + (5) -126.433 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.95 seconds