Wall clock time and date at job start Tue Mar 31 2020 23:53:05 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 O 1.45203 * 1 3 3 C 1.34224 * 116.99571 * 2 1 4 4 O 1.20819 * 120.00355 * 359.97438 * 3 2 1 5 5 C 1.50706 * 120.00019 * 180.02562 * 3 2 1 6 6 C 1.52995 * 109.47277 * 179.97438 * 5 3 2 7 7 N 1.46502 * 109.47104 * 179.97438 * 6 5 3 8 8 C 1.36938 * 119.99607 * 269.99917 * 7 6 5 9 9 H 1.08002 * 119.99796 * 143.06444 * 8 7 6 10 10 C 1.38811 * 120.00216 * 323.06013 * 8 7 6 11 11 N 1.31628 * 119.99863 * 338.53471 * 10 8 7 12 12 Si 1.86798 * 120.00257 * 158.53764 * 10 8 7 13 13 H 1.48496 * 109.47379 * 59.99843 * 12 10 8 14 14 H 1.48505 * 109.46968 * 180.02562 * 12 10 8 15 15 H 1.48505 * 109.47006 * 299.99671 * 12 10 8 16 16 C 1.46501 * 120.00241 * 89.99768 * 7 6 5 17 17 H 1.09002 * 109.46770 * 7.69103 * 16 7 6 18 18 C 1.53000 * 109.46878 * 127.69122 * 16 7 6 19 19 C 1.50705 * 109.46804 * 247.69040 * 16 7 6 20 20 O 1.21281 * 120.00184 * 351.78630 * 19 16 7 21 21 N 1.34777 * 119.99646 * 171.79235 * 19 16 7 22 22 C 1.46920 * 120.63231 * 176.83624 * 21 19 16 23 23 C 1.53182 * 108.77890 * 126.40613 * 22 21 19 24 24 H 1.09004 * 109.50376 * 294.68529 * 23 22 21 25 25 C 1.53006 * 109.50143 * 174.58386 * 23 22 21 26 26 C 1.53040 * 109.31047 * 54.63729 * 23 22 21 27 27 C 1.53041 * 109.53901 * 298.63313 * 26 23 22 28 28 H 1.09000 * 109.49655 * 301.41404 * 27 26 23 29 29 C 1.53001 * 109.49617 * 181.31592 * 27 26 23 30 30 C 1.46923 * 120.63005 * 356.85342 * 21 19 16 31 31 H 1.08995 * 109.46908 * 60.00764 * 1 2 3 32 32 H 1.09002 * 109.46900 * 180.02562 * 1 2 3 33 33 H 1.09000 * 109.47493 * 300.00025 * 1 2 3 34 34 H 1.09000 * 109.47472 * 59.99068 * 5 3 2 35 35 H 1.09006 * 109.46472 * 299.99519 * 5 3 2 36 36 H 1.08992 * 109.47508 * 59.99590 * 6 5 3 37 37 H 1.08998 * 109.46830 * 299.99447 * 6 5 3 38 38 H 0.96997 * 119.99989 * 180.02562 * 11 10 8 39 39 H 1.08998 * 109.46669 * 185.88125 * 18 16 7 40 40 H 1.08996 * 109.46967 * 305.87801 * 18 16 7 41 41 H 1.09001 * 109.47419 * 65.88031 * 18 16 7 42 42 H 1.08997 * 109.58692 * 246.19949 * 22 21 19 43 43 H 1.09010 * 109.58481 * 6.62131 * 22 21 19 44 44 H 1.08997 * 109.47269 * 300.17290 * 25 23 22 45 45 H 1.09005 * 109.46422 * 60.16461 * 25 23 22 46 46 H 1.08999 * 109.47480 * 180.16454 * 25 23 22 47 47 H 1.09008 * 109.46326 * 178.61022 * 26 23 22 48 48 H 1.08999 * 109.46125 * 58.65693 * 26 23 22 49 49 H 1.08996 * 109.47202 * 60.00129 * 29 27 26 50 50 H 1.09001 * 109.46696 * 180.02562 * 29 27 26 51 51 H 1.08999 * 109.47386 * 299.99508 * 29 27 26 52 52 H 1.08999 * 109.58951 * 113.80227 * 30 21 19 53 53 H 1.08998 * 109.70665 * 353.44378 * 30 21 19 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 8 1.4520 0.0000 0.0000 3 6 2.0613 1.1960 0.0000 4 8 1.4033 2.2093 -0.0005 5 6 3.5663 1.2750 -0.0006 6 6 4.0000 2.7422 -0.0011 7 7 5.4630 2.8189 -0.0011 8 6 6.1466 2.8552 1.1849 9 1 7.0922 2.3420 1.2791 10 6 5.6243 3.5517 2.2661 11 7 4.7339 4.5010 2.0694 12 14 6.1849 3.1418 4.0002 13 1 7.6503 3.3552 4.1102 14 1 5.4819 4.0213 4.9685 15 1 5.8674 1.7225 4.3006 16 6 6.1946 2.8568 -1.2697 17 1 5.4881 2.9571 -2.0937 18 6 7.1522 4.0501 -1.2708 19 6 6.9808 1.5816 -1.4344 20 8 7.0553 0.7923 -0.5166 21 7 7.6012 1.3185 -2.6016 22 6 8.4280 0.1137 -2.7550 23 6 7.9434 -0.6639 -3.9826 24 1 6.9313 -1.0283 -3.8064 25 6 8.8766 -1.8494 -4.2374 26 6 7.9482 0.2610 -5.2019 27 6 6.9900 1.4299 -4.9614 28 1 5.9869 1.0458 -4.7759 29 6 6.9708 2.3362 -6.1939 30 6 7.4638 2.2312 -3.7447 31 1 -0.3633 0.5137 -0.8900 32 1 -0.3633 -1.0277 0.0005 33 1 -0.3634 0.5138 0.8900 34 1 3.9558 0.7810 -0.8907 35 1 3.9563 0.7807 0.8893 36 1 3.6106 3.2365 0.8888 37 1 3.6100 3.2360 -0.8911 38 1 4.3692 4.9879 2.8249 39 1 7.6194 4.1400 -2.2514 40 1 6.5974 4.9613 -1.0477 41 1 7.9220 3.8989 -0.5140 42 1 9.4704 0.4010 -2.8924 43 1 8.3328 -0.5103 -1.8662 44 1 9.8886 -1.4842 -4.4120 45 1 8.8728 -2.5078 -3.3687 46 1 8.5331 -2.4007 -5.1127 47 1 7.6273 -0.2965 -6.0819 48 1 8.9557 0.6445 -5.3628 49 1 6.6364 1.7649 -7.0598 50 1 6.2886 3.1688 -6.0219 51 1 7.9739 2.7210 -6.3777 52 1 8.4276 2.6912 -3.9630 53 1 6.7338 3.0060 -3.5108 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 ZINC000879475446.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 23:53:05 Heat of formation + Delta-G solvation = -111.490549 kcal Electronic energy + Delta-G solvation = -32175.173686 eV Core-core repulsion = 28047.376834 eV Total energy + Delta-G solvation = -4127.796852 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.24 seconds Orbital eigenvalues (eV) -40.03308 -39.86092 -37.72271 -36.21314 -35.46850 -33.88956 -33.26625 -31.79798 -31.42037 -28.67737 -27.23074 -26.81760 -26.62294 -25.53575 -24.61880 -23.14388 -21.44823 -20.83603 -20.11082 -19.76140 -18.61473 -17.25359 -16.72047 -16.22465 -16.07341 -15.97532 -15.39842 -15.09517 -14.83513 -14.68412 -14.50150 -13.96195 -13.67880 -13.47400 -13.22424 -13.04528 -12.94266 -12.76395 -12.65689 -12.31620 -12.19763 -12.08104 -12.04266 -11.82773 -11.66204 -11.58419 -11.37319 -11.20530 -10.96697 -10.87868 -10.79390 -10.74531 -10.58618 -10.50172 -10.45776 -10.34819 -10.04529 -9.98597 -9.82916 -9.68117 -8.89988 -8.42142 -8.18994 -6.62097 -5.76253 -3.31989 2.78638 3.20884 3.39885 3.43279 3.46128 3.49010 3.54072 4.51497 4.55811 4.72263 4.74090 4.88745 5.16860 5.22202 5.27135 5.30002 5.31899 5.35539 5.39598 5.46376 5.48423 5.51082 5.51388 5.60051 5.68079 5.73706 5.74052 5.75888 5.84397 5.91944 5.96888 6.00242 6.02749 6.06595 6.09315 6.13168 6.22160 6.27645 6.38032 6.39498 6.51096 6.69829 6.81098 6.94057 7.02928 7.11949 7.71601 7.92841 7.96966 8.29458 8.53112 9.00088 9.19852 9.79542 10.34684 11.25785 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.008676 B = 0.004212 C = 0.003411 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3226.682561 B = 6645.506476 C = 8207.371567 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.034 3.966 2 O -0.369 6.369 3 C 0.461 3.539 4 O -0.509 6.509 5 C -0.129 4.129 6 C 0.158 3.842 7 N -0.553 5.553 8 C -0.246 4.246 9 H 0.068 0.932 10 C 0.012 3.988 11 N -0.885 5.885 12 Si 0.897 3.103 13 H -0.281 1.281 14 H -0.292 1.292 15 H -0.282 1.282 16 C 0.155 3.845 17 H 0.070 0.930 18 C -0.141 4.141 19 C 0.494 3.506 20 O -0.516 6.516 21 N -0.625 5.625 22 C 0.117 3.883 23 C -0.107 4.107 24 H 0.072 0.928 25 C -0.143 4.143 26 C -0.106 4.106 27 C -0.110 4.110 28 H 0.074 0.926 29 C -0.145 4.145 30 C 0.115 3.885 31 H 0.057 0.943 32 H 0.093 0.907 33 H 0.059 0.941 34 H 0.082 0.918 35 H 0.103 0.897 36 H 0.111 0.889 37 H 0.034 0.966 38 H 0.255 0.745 39 H 0.040 0.960 40 H 0.068 0.932 41 H 0.060 0.940 42 H 0.056 0.944 43 H 0.088 0.912 44 H 0.054 0.946 45 H 0.056 0.944 46 H 0.054 0.946 47 H 0.060 0.940 48 H 0.062 0.938 49 H 0.055 0.945 50 H 0.058 0.942 51 H 0.055 0.945 52 H 0.062 0.938 53 H 0.090 0.910 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.455 -7.559 -15.964 17.833 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 -0.060 4.060 2 O -0.287 6.287 3 C 0.304 3.696 4 O -0.396 6.396 5 C -0.169 4.169 6 C 0.031 3.969 7 N -0.271 5.271 8 C -0.376 4.376 9 H 0.086 0.914 10 C -0.188 4.188 11 N -0.527 5.527 12 Si 0.726 3.274 13 H -0.208 1.208 14 H -0.218 1.218 15 H -0.209 1.209 16 C 0.043 3.957 17 H 0.088 0.912 18 C -0.199 4.199 19 C 0.281 3.719 20 O -0.389 6.389 21 N -0.362 5.362 22 C -0.007 4.007 23 C -0.127 4.127 24 H 0.091 0.909 25 C -0.201 4.201 26 C -0.144 4.144 27 C -0.130 4.130 28 H 0.092 0.908 29 C -0.202 4.202 30 C -0.009 4.009 31 H 0.076 0.924 32 H 0.111 0.889 33 H 0.078 0.922 34 H 0.100 0.900 35 H 0.122 0.878 36 H 0.128 0.872 37 H 0.052 0.948 38 H 0.065 0.935 39 H 0.059 0.941 40 H 0.087 0.913 41 H 0.079 0.921 42 H 0.075 0.925 43 H 0.107 0.893 44 H 0.073 0.927 45 H 0.075 0.925 46 H 0.073 0.927 47 H 0.079 0.921 48 H 0.081 0.919 49 H 0.074 0.926 50 H 0.077 0.923 51 H 0.074 0.926 52 H 0.080 0.920 53 H 0.108 0.892 Dipole moment (debyes) X Y Z Total from point charges 2.162 -7.519 -15.253 17.142 hybrid contribution 0.030 -0.371 0.812 0.893 sum 2.192 -7.890 -14.441 16.601 Atomic orbital electron populations 1.23132 0.77862 1.02819 1.02163 1.86587 1.22431 1.34961 1.84676 1.24575 0.92856 0.80685 0.71444 1.90624 1.67390 1.36236 1.45366 1.22414 0.84243 1.05639 1.04618 1.20904 0.83479 0.88948 1.03555 1.43583 1.00623 1.82829 1.00017 1.19011 1.05737 1.25252 0.87571 0.91391 1.25163 0.99449 0.95177 0.99051 1.69987 1.32075 1.20517 1.30161 0.86467 0.78311 0.78021 0.84580 1.20753 1.21769 1.20874 1.20348 0.93712 0.90434 0.91169 0.91168 1.22005 0.99780 0.98488 0.99677 1.22762 0.78813 0.89685 0.80689 1.90634 1.60120 1.48751 1.39362 1.48412 1.51033 1.23961 1.12793 1.21487 0.93555 0.87280 0.98350 1.21506 1.00287 0.95451 0.95411 0.90945 1.21754 0.99267 0.97544 1.01570 1.21626 0.99489 0.95917 0.97336 1.21554 1.00061 0.96191 0.95168 0.90788 1.21764 1.01980 0.99493 0.97002 1.21790 1.01455 0.92277 0.85384 0.92385 0.88853 0.92249 0.90013 0.87838 0.87162 0.94754 0.93477 0.94071 0.91280 0.92065 0.92544 0.89349 0.92675 0.92457 0.92670 0.92086 0.91948 0.92607 0.92267 0.92573 0.92009 0.89217 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 0.03 0.45 10.56 101.05 1.07 1.52 16 2 O -0.37 -6.40 10.57 -39.24 -0.41 -6.82 16 3 C 0.46 9.18 7.96 36.01 0.29 9.47 16 4 O -0.51 -11.25 15.73 -18.74 -0.29 -11.54 16 5 C -0.13 -2.68 6.13 -27.88 -0.17 -2.85 16 6 C 0.16 3.71 4.58 -4.04 -0.02 3.69 16 7 N -0.55 -13.26 2.16 -166.98 -0.36 -13.62 16 8 C -0.25 -6.62 7.62 -15.06 -0.11 -6.73 16 9 H 0.07 1.94 6.98 -52.49 -0.37 1.58 16 10 C 0.01 0.32 4.96 -17.43 -0.09 0.23 16 11 N -0.89 -25.16 11.43 55.49 0.63 -24.53 16 12 Si 0.90 22.12 29.60 -169.99 -5.03 17.09 16 13 H -0.28 -6.89 7.11 56.52 0.40 -6.49 16 14 H -0.29 -7.19 7.11 56.52 0.40 -6.79 16 15 H -0.28 -7.04 7.11 56.52 0.40 -6.64 16 16 C 0.16 3.08 2.32 -69.08 -0.16 2.92 16 17 H 0.07 1.26 6.72 -51.93 -0.35 0.91 16 18 C -0.14 -2.60 8.58 37.16 0.32 -2.28 16 19 C 0.49 9.62 6.96 -10.98 -0.08 9.54 16 20 O -0.52 -12.13 14.33 5.56 0.08 -12.05 16 21 N -0.63 -9.42 2.97 -172.78 -0.51 -9.94 16 22 C 0.12 1.57 5.72 -3.72 -0.02 1.55 16 23 C -0.11 -1.15 2.87 -90.50 -0.26 -1.41 16 24 H 0.07 0.88 8.14 -51.93 -0.42 0.46 16 25 C -0.14 -1.28 9.20 37.16 0.34 -0.93 16 26 C -0.11 -0.98 4.45 -26.69 -0.12 -1.10 16 27 C -0.11 -1.09 2.87 -90.50 -0.26 -1.35 16 28 H 0.07 0.82 8.14 -51.93 -0.42 0.39 16 29 C -0.14 -1.14 9.20 37.16 0.34 -0.80 16 30 C 0.11 1.35 4.41 -3.71 -0.02 1.33 16 31 H 0.06 0.72 8.13 -51.93 -0.42 0.30 16 32 H 0.09 0.90 8.14 -51.93 -0.42 0.48 16 33 H 0.06 0.78 8.13 -51.93 -0.42 0.36 16 34 H 0.08 1.60 8.14 -51.93 -0.42 1.18 16 35 H 0.10 2.30 8.14 -51.93 -0.42 1.88 16 36 H 0.11 3.00 5.43 -51.93 -0.28 2.72 16 37 H 0.03 0.77 7.82 -51.93 -0.41 0.37 16 38 H 0.26 7.11 8.31 -40.82 -0.34 6.78 16 39 H 0.04 0.60 6.04 -51.93 -0.31 0.28 16 40 H 0.07 1.38 8.14 -51.93 -0.42 0.96 16 41 H 0.06 1.26 7.73 -51.93 -0.40 0.86 16 42 H 0.06 0.70 8.14 -51.93 -0.42 0.27 16 43 H 0.09 1.40 7.00 -51.92 -0.36 1.03 16 44 H 0.05 0.45 8.14 -51.93 -0.42 0.03 16 45 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 46 H 0.05 0.43 8.14 -51.93 -0.42 0.01 16 47 H 0.06 0.51 8.14 -51.92 -0.42 0.09 16 48 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 49 H 0.05 0.40 8.14 -51.93 -0.42 -0.02 16 50 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 51 H 0.06 0.41 8.14 -51.93 -0.42 -0.01 16 52 H 0.06 0.66 8.14 -51.93 -0.42 0.24 16 53 H 0.09 1.08 4.88 -51.93 -0.25 0.82 16 LS Contribution 413.95 15.07 6.24 6.24 Total: -1.00 -31.97 413.95 -8.09 -40.06 By element: Atomic # 1 Polarization: 11.79 SS G_CDS: -9.48 Total: 2.31 kcal Atomic # 6 Polarization: 11.73 SS G_CDS: 1.05 Total: 12.79 kcal Atomic # 7 Polarization: -47.84 SS G_CDS: -0.24 Total: -48.08 kcal Atomic # 8 Polarization: -29.78 SS G_CDS: -0.63 Total: -30.41 kcal Atomic # 14 Polarization: 22.12 SS G_CDS: -5.03 Total: 17.09 kcal Total LS contribution 6.24 Total: 6.24 kcal Total: -31.97 -8.09 -40.06 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. ZINC000879475446.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 -71.429 kcal (2) G-P(sol) polarization free energy of solvation -31.970 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -103.399 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.091 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.061 kcal (6) G-S(sol) free energy of system = (1) + (5) -111.491 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.24 seconds