Wall clock time and date at job start Sat Apr 11 2020 06:11:55 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 1.42899 * 1 3 3 C 1.42896 * 114.00354 * 2 1 4 4 C 1.52998 * 109.47282 * 179.97438 * 3 2 1 5 5 N 1.46493 * 109.47232 * 64.99916 * 4 3 2 6 6 C 1.36938 * 120.00400 * 269.99948 * 5 4 3 7 7 H 1.08001 * 120.00197 * 141.82913 * 6 5 4 8 8 C 1.38810 * 120.00145 * 321.83350 * 6 5 4 9 9 N 1.31615 * 120.00399 * 157.03019 * 8 6 5 10 10 Si 1.86801 * 119.99724 * 337.03361 * 8 6 5 11 11 H 1.48496 * 109.47238 * 95.44967 * 10 8 6 12 12 H 1.48507 * 109.47190 * 215.44918 * 10 8 6 13 13 H 1.48496 * 109.47109 * 335.44931 * 10 8 6 14 14 C 1.46503 * 120.00097 * 90.00134 * 5 4 3 15 15 C 1.53045 * 109.46020 * 244.79684 * 14 5 4 16 16 C 1.53197 * 109.31060 * 178.61216 * 15 14 5 17 17 N 1.46919 * 108.77425 * 54.63459 * 16 15 14 18 18 C 1.34777 * 120.63338 * 126.37254 * 17 16 15 19 19 O 1.21287 * 119.99697 * 359.97438 * 18 17 16 20 20 C 1.50701 * 120.00502 * 180.02562 * 18 17 16 21 21 H 1.08998 * 109.48106 * 54.96813 * 20 18 17 22 22 C 1.53094 * 109.48348 * 294.94114 * 20 18 17 23 23 C 1.53192 * 109.21211 * 182.43581 * 22 20 18 24 24 C 1.53175 * 109.02910 * 56.88460 * 23 22 20 25 25 C 1.53084 * 109.21787 * 303.11503 * 24 23 22 26 26 O 1.42901 * 109.47959 * 174.99852 * 20 18 17 27 27 C 1.46925 * 118.74151 * 306.63749 * 17 16 15 28 28 C 1.52765 * 109.00596 * 53.31172 * 27 17 16 29 29 H 1.09001 * 109.47288 * 300.00065 * 1 2 3 30 30 H 1.09001 * 109.46875 * 59.99860 * 1 2 3 31 31 H 1.08999 * 109.47350 * 180.02562 * 1 2 3 32 32 H 1.09005 * 109.46827 * 59.99824 * 3 2 1 33 33 H 1.08998 * 109.47256 * 300.00115 * 3 2 1 34 34 H 1.09007 * 109.47342 * 304.99981 * 4 3 2 35 35 H 1.09004 * 109.47383 * 185.00312 * 4 3 2 36 36 H 0.96999 * 120.00577 * 179.97438 * 9 8 6 37 37 H 1.09003 * 109.44568 * 4.75733 * 14 5 4 38 38 H 1.08998 * 109.49773 * 58.65798 * 15 14 5 39 39 H 1.08996 * 109.51963 * 298.57888 * 15 14 5 40 40 H 1.08999 * 109.58449 * 294.84382 * 16 15 14 41 41 H 1.09005 * 109.69964 * 174.49171 * 16 15 14 42 42 H 1.08997 * 109.52755 * 302.31123 * 22 20 18 43 43 H 1.09002 * 109.52252 * 62.43643 * 22 20 18 44 44 H 1.08998 * 109.49041 * 297.05475 * 23 22 20 45 45 H 1.08997 * 109.59277 * 176.78687 * 23 22 20 46 46 H 1.08999 * 109.52177 * 183.17181 * 24 23 22 47 47 H 1.09004 * 109.51911 * 63.05595 * 24 23 22 48 48 H 1.09004 * 109.47962 * 177.56010 * 25 24 23 49 49 H 1.08996 * 109.48227 * 297.59452 * 25 24 23 50 50 H 1.09002 * 109.58882 * 173.14882 * 27 17 16 51 51 H 1.09003 * 109.59166 * 293.57498 * 27 17 16 52 52 H 1.08998 * 109.56360 * 185.55394 * 28 27 17 53 53 H 1.09004 * 109.35808 * 65.50321 * 28 27 17 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 1.4290 0.0000 0.0000 3 6 2.0103 1.3054 0.0000 4 6 3.5355 1.1845 0.0006 5 7 3.9767 0.5638 -1.2508 6 6 4.0978 -0.7976 -1.3344 7 1 3.8142 -1.3103 -2.2417 8 6 4.5852 -1.5188 -0.2531 9 7 4.2966 -2.7971 -0.1308 10 14 5.6505 -0.6749 1.0285 11 1 4.8030 -0.2385 2.1671 12 1 6.6838 -1.6237 1.5158 13 1 6.3115 0.5081 0.4215 14 6 4.2884 1.3996 -2.4129 15 6 3.2936 1.1013 -3.5371 16 6 3.6011 2.0016 -4.7378 17 7 5.0096 1.8219 -5.1151 18 6 5.3464 1.5032 -6.3806 19 8 4.4829 1.3614 -7.2204 20 6 6.7956 1.3217 -6.7518 21 1 7.2494 0.5805 -6.0939 22 6 7.5319 2.6557 -6.6026 23 6 8.9895 2.4786 -7.0394 24 6 9.0195 1.9543 -8.4783 25 6 8.2258 0.6475 -8.5551 26 8 6.8884 0.8770 -8.1067 27 6 6.0439 1.9906 -4.0852 28 6 5.7094 1.0960 -2.8930 29 1 -0.3634 0.5138 0.8900 30 1 -0.3633 0.5139 -0.8900 31 1 -0.3634 -1.0276 0.0005 32 1 1.6886 1.8463 0.8900 33 1 1.6887 1.8463 -0.8899 34 1 3.8508 0.5683 0.8427 35 1 3.9786 2.1764 0.0903 36 1 4.6375 -3.3011 0.6246 37 1 4.2163 2.4508 -2.1338 38 1 2.2799 1.2955 -3.1868 39 1 3.3820 0.0562 -3.8338 40 1 3.4249 3.0429 -4.4684 41 1 2.9605 1.7276 -5.5761 42 1 7.0535 3.4080 -7.2297 43 1 7.4990 2.9753 -5.5610 44 1 9.4823 1.7637 -6.3805 45 1 9.5050 3.4377 -6.9898 46 1 10.0514 1.7719 -8.7781 47 1 8.5718 2.6921 -9.1442 48 1 8.2078 0.2932 -9.5858 49 1 8.6982 -0.1025 -7.9209 50 1 7.0145 1.7071 -4.4922 51 1 6.0710 3.0311 -3.7614 52 1 6.4151 1.2864 -2.0844 53 1 5.7756 0.0509 -3.1957 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 ZINC001277398917.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 06:11:55 Heat of formation + Delta-G solvation = -94.106583 kcal Electronic energy + Delta-G solvation = -32145.977923 eV Core-core repulsion = 28018.934896 eV Total energy + Delta-G solvation = -4127.043026 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -40.57025 -38.87682 -37.67911 -36.85880 -35.15712 -33.86165 -32.47343 -31.64703 -30.99591 -30.38378 -28.38100 -26.17564 -25.67970 -24.80724 -24.04256 -22.98656 -22.80430 -21.30927 -20.58204 -20.00532 -18.93694 -17.38928 -16.56800 -16.41908 -16.02850 -15.82282 -15.57063 -15.37148 -14.94668 -14.78383 -14.57291 -14.36472 -14.31860 -14.08558 -13.83438 -13.50910 -13.25533 -12.97373 -12.92336 -12.67404 -12.55640 -12.21710 -11.91024 -11.85739 -11.71449 -11.57155 -11.39223 -11.37806 -11.27146 -10.81541 -10.74199 -10.68480 -10.62026 -10.53060 -10.28328 -9.92989 -9.69654 -9.69390 -9.48384 -9.34716 -8.86714 -8.48764 -8.33864 -6.77225 -5.86995 -3.28116 2.70367 2.84012 3.35071 3.48124 3.51066 3.83886 4.36193 4.53318 4.54171 4.55853 4.61320 4.70435 4.81211 4.82326 4.91111 5.05095 5.19165 5.29121 5.36815 5.41899 5.45187 5.45777 5.51914 5.59557 5.64622 5.67843 5.71729 5.72403 5.75423 5.79402 5.84591 5.90748 5.94624 5.99198 6.03127 6.11817 6.13685 6.14926 6.17336 6.28545 6.43177 6.53599 6.73294 6.77139 6.96594 7.01428 7.02831 7.54128 7.97673 8.16746 8.31788 8.50481 9.05699 9.82797 10.18850 11.29139 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015068 B = 0.003227 C = 0.002945 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1857.812544 B = 8675.806892 C = 9504.249693 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.032 3.968 2 O -0.346 6.346 3 C 0.047 3.953 4 C 0.135 3.865 5 N -0.593 5.593 6 C -0.247 4.247 7 H 0.075 0.925 8 C 0.045 3.955 9 N -0.896 5.896 10 Si 0.869 3.131 11 H -0.288 1.288 12 H -0.305 1.305 13 H -0.271 1.271 14 C 0.180 3.820 15 C -0.139 4.139 16 C 0.116 3.884 17 N -0.602 5.602 18 C 0.523 3.477 19 O -0.528 6.528 20 C 0.075 3.925 21 H 0.085 0.915 22 C -0.153 4.153 23 C -0.121 4.121 24 C -0.158 4.158 25 C 0.058 3.942 26 O -0.354 6.354 27 C 0.102 3.898 28 C -0.141 4.141 29 H 0.025 0.975 30 H 0.029 0.971 31 H 0.078 0.922 32 H 0.026 0.974 33 H 0.036 0.964 34 H 0.062 0.938 35 H 0.052 0.948 36 H 0.259 0.741 37 H 0.050 0.950 38 H 0.068 0.932 39 H 0.073 0.927 40 H 0.061 0.939 41 H 0.086 0.914 42 H 0.076 0.924 43 H 0.087 0.913 44 H 0.068 0.932 45 H 0.071 0.929 46 H 0.074 0.926 47 H 0.072 0.928 48 H 0.097 0.903 49 H 0.053 0.947 50 H 0.081 0.919 51 H 0.066 0.934 52 H 0.071 0.929 53 H 0.080 0.920 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.614 13.520 -9.084 17.580 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 -0.066 4.066 2 O -0.263 6.263 3 C -0.033 4.033 4 C 0.009 3.991 5 N -0.314 5.314 6 C -0.375 4.375 7 H 0.092 0.908 8 C -0.155 4.155 9 N -0.537 5.537 10 Si 0.700 3.300 11 H -0.217 1.217 12 H -0.233 1.233 13 H -0.196 1.196 14 C 0.073 3.927 15 C -0.179 4.179 16 C -0.007 4.007 17 N -0.337 5.337 18 C 0.309 3.691 19 O -0.404 6.404 20 C 0.014 3.986 21 H 0.103 0.897 22 C -0.191 4.191 23 C -0.159 4.159 24 C -0.196 4.196 25 C -0.019 4.019 26 O -0.272 6.272 27 C -0.021 4.021 28 C -0.181 4.181 29 H 0.043 0.957 30 H 0.047 0.953 31 H 0.096 0.904 32 H 0.044 0.956 33 H 0.054 0.946 34 H 0.080 0.920 35 H 0.071 0.929 36 H 0.069 0.931 37 H 0.068 0.932 38 H 0.086 0.914 39 H 0.091 0.909 40 H 0.079 0.921 41 H 0.104 0.896 42 H 0.095 0.905 43 H 0.106 0.894 44 H 0.086 0.914 45 H 0.090 0.910 46 H 0.093 0.907 47 H 0.090 0.910 48 H 0.115 0.885 49 H 0.071 0.929 50 H 0.099 0.901 51 H 0.085 0.915 52 H 0.090 0.910 53 H 0.098 0.902 Dipole moment (debyes) X Y Z Total from point charges 6.126 13.071 -9.563 17.316 hybrid contribution 0.601 0.597 1.185 1.457 sum 6.728 13.668 -8.379 17.386 Atomic orbital electron populations 1.22638 0.83852 1.01858 0.98215 1.88309 1.16839 1.26417 1.94772 1.23276 0.97437 0.85108 0.97450 1.21341 0.90329 0.96417 0.91048 1.44100 1.75917 1.03729 1.07658 1.18456 1.37155 0.79702 1.02185 0.90782 1.25340 0.97987 0.94704 0.97492 1.69890 1.44787 1.08463 1.30579 0.87061 0.81474 0.79273 0.82224 1.21660 1.23297 1.19604 1.20316 0.91460 0.93163 0.87747 1.22374 1.00277 1.00590 0.94705 1.21681 0.80981 0.99299 0.98712 1.48019 1.08188 1.69316 1.08140 1.20042 0.89990 0.76848 0.82173 1.90689 1.50928 1.49933 1.48839 1.21872 0.93925 0.96857 0.85934 0.89724 1.22329 0.96159 0.97061 1.03510 1.21594 0.95872 1.01959 0.96446 1.22215 1.00972 0.98763 0.97616 1.22656 0.82818 0.95865 1.00516 1.88062 1.26240 1.86856 1.26065 1.21976 0.90577 1.00247 0.89305 1.22257 0.99228 1.00868 0.95709 0.95664 0.95250 0.90354 0.95609 0.94564 0.91972 0.92946 0.93068 0.93194 0.91385 0.90851 0.92057 0.89555 0.90528 0.89428 0.91364 0.91001 0.90742 0.90955 0.88461 0.92906 0.90125 0.91546 0.91036 0.90156 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 0.53 11.01 101.05 1.11 1.64 16 2 O -0.35 -7.56 10.18 -35.23 -0.36 -7.92 16 3 C 0.05 0.88 6.28 37.16 0.23 1.11 16 4 C 0.13 2.74 4.93 -4.05 -0.02 2.72 16 5 N -0.59 -12.86 1.98 -165.61 -0.33 -13.19 16 6 C -0.25 -6.49 8.05 -15.06 -0.12 -6.61 16 7 H 0.07 2.19 7.24 -52.49 -0.38 1.81 16 8 C 0.05 1.26 5.29 -17.43 -0.09 1.17 16 9 N -0.90 -27.15 13.97 55.49 0.78 -26.38 16 10 Si 0.87 21.45 25.12 -169.99 -4.27 17.18 16 11 H -0.29 -7.09 6.67 56.52 0.38 -6.72 16 12 H -0.30 -7.76 7.11 56.52 0.40 -7.36 16 13 H -0.27 -6.30 7.11 56.52 0.40 -5.90 16 14 C 0.18 3.16 2.60 -67.89 -0.18 2.98 16 15 C -0.14 -2.38 5.38 -26.61 -0.14 -2.53 16 16 C 0.12 1.71 6.44 -3.71 -0.02 1.69 16 17 N -0.60 -8.71 2.98 -173.03 -0.52 -9.22 16 18 C 0.52 8.38 7.12 -10.98 -0.08 8.31 16 19 O -0.53 -10.56 15.92 -14.31 -0.23 -10.79 16 20 C 0.08 0.97 2.22 -27.83 -0.06 0.91 16 21 H 0.09 1.02 7.42 -51.93 -0.39 0.63 16 22 C -0.15 -1.48 4.99 -26.58 -0.13 -1.62 16 23 C -0.12 -0.94 6.03 -26.54 -0.16 -1.10 16 24 C -0.16 -1.24 6.13 -26.60 -0.16 -1.40 16 25 C 0.06 0.57 6.84 37.20 0.25 0.82 16 26 O -0.35 -5.04 9.94 -55.09 -0.55 -5.58 16 27 C 0.10 1.26 4.99 -3.93 -0.02 1.24 16 28 C -0.14 -2.28 5.21 -26.83 -0.14 -2.42 16 29 H 0.02 0.36 8.14 -51.93 -0.42 -0.06 16 30 H 0.03 0.44 8.14 -51.93 -0.42 0.02 16 31 H 0.08 1.27 8.14 -51.93 -0.42 0.85 16 32 H 0.03 0.42 8.14 -51.93 -0.42 0.00 16 33 H 0.04 0.63 8.14 -51.93 -0.42 0.20 16 34 H 0.06 1.44 3.40 -51.92 -0.18 1.27 16 35 H 0.05 0.90 7.88 -51.93 -0.41 0.50 16 36 H 0.26 7.53 8.31 -40.82 -0.34 7.19 16 37 H 0.05 0.78 7.77 -51.93 -0.40 0.37 16 38 H 0.07 1.17 8.14 -51.93 -0.42 0.75 16 39 H 0.07 1.49 7.24 -51.93 -0.38 1.12 16 40 H 0.06 0.78 8.14 -51.93 -0.42 0.36 16 41 H 0.09 1.39 7.00 -51.93 -0.36 1.02 16 42 H 0.08 0.81 8.14 -51.93 -0.42 0.38 16 43 H 0.09 0.74 5.46 -51.93 -0.28 0.46 16 44 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 45 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 46 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 47 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 48 H 0.10 0.81 8.14 -51.93 -0.42 0.39 16 49 H 0.05 0.47 8.14 -51.93 -0.42 0.04 16 50 H 0.08 0.84 4.64 -51.93 -0.24 0.60 16 51 H 0.07 0.69 8.14 -51.93 -0.42 0.27 16 52 H 0.07 1.18 8.14 -51.93 -0.42 0.76 16 53 H 0.08 1.53 7.62 -51.93 -0.40 1.14 16 LS Contribution 398.72 15.07 6.01 6.01 Total: -1.00 -34.04 398.72 -8.53 -42.57 By element: Atomic # 1 Polarization: 9.75 SS G_CDS: -9.34 Total: 0.41 kcal Atomic # 6 Polarization: 6.65 SS G_CDS: 0.27 Total: 6.92 kcal Atomic # 7 Polarization: -48.73 SS G_CDS: -0.07 Total: -48.79 kcal Atomic # 8 Polarization: -23.16 SS G_CDS: -1.13 Total: -24.29 kcal Atomic # 14 Polarization: 21.45 SS G_CDS: -4.27 Total: 17.18 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -34.04 -8.53 -42.57 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. ZINC001277398917.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 -51.535 kcal (2) G-P(sol) polarization free energy of solvation -34.038 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -85.573 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.533 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.571 kcal (6) G-S(sol) free energy of system = (1) + (5) -94.107 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds