Wall clock time and date at job start Tue Mar 31 2020 23:06:20 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 N 1.46494 * 1 3 3 C 1.34773 * 120.00400 * 2 1 4 4 O 1.21289 * 119.99526 * 5.25598 * 3 2 1 5 5 C 1.50694 * 120.00594 * 185.25869 * 3 2 1 6 6 C 1.53000 * 109.47233 * 295.35985 * 5 3 2 7 7 C 1.53004 * 109.47102 * 55.36360 * 5 3 2 8 8 C 1.53001 * 109.47491 * 175.36140 * 5 3 2 9 9 C 1.53182 * 109.54205 * 299.55697 * 8 5 3 10 10 C 1.53093 * 109.16432 * 183.14662 * 9 8 5 11 11 O 1.42909 * 109.41043 * 57.61085 * 10 9 8 12 12 C 1.42905 * 114.09777 * 298.83939 * 11 10 9 13 13 C 1.53093 * 109.41362 * 61.15727 * 12 11 10 14 14 C 1.46508 * 120.00299 * 180.02562 * 2 1 3 15 15 H 1.09000 * 110.88656 * 178.69275 * 14 2 1 16 16 C 1.55132 * 110.93513 * 302.76305 * 14 2 1 17 17 N 1.47428 * 104.72073 * 155.28636 * 16 14 2 18 18 C 1.36937 * 125.64495 * 155.81730 * 17 16 14 19 19 H 1.07996 * 120.00363 * 359.71658 * 18 17 16 20 20 C 1.38817 * 119.99605 * 179.72042 * 18 17 16 21 21 N 1.31616 * 119.99875 * 0.02562 * 20 18 17 22 22 Si 1.86794 * 119.99665 * 180.02562 * 20 18 17 23 23 H 1.48503 * 109.47021 * 179.97438 * 22 20 18 24 24 H 1.48502 * 109.47329 * 299.99496 * 22 20 18 25 25 H 1.48496 * 109.47489 * 59.99886 * 22 20 18 26 26 C 1.47015 * 108.70201 * 335.55748 * 17 16 14 27 27 C 1.54322 * 107.27484 * 1.28208 * 26 17 16 28 28 H 1.09006 * 110.72114 * 263.83196 * 27 26 17 29 29 O 1.42895 * 110.72196 * 140.73478 * 27 26 17 30 30 H 1.08999 * 109.47238 * 275.00928 * 1 2 3 31 31 H 1.08993 * 109.47414 * 35.01641 * 1 2 3 32 32 H 1.09010 * 109.47069 * 155.01477 * 1 2 3 33 33 H 1.08999 * 109.46885 * 64.92984 * 6 5 3 34 34 H 1.09000 * 109.46986 * 184.92464 * 6 5 3 35 35 H 1.08996 * 109.47196 * 304.93174 * 6 5 3 36 36 H 1.08998 * 109.47473 * 65.10091 * 7 5 3 37 37 H 1.08997 * 109.47068 * 185.10366 * 7 5 3 38 38 H 1.08999 * 109.46990 * 305.09942 * 7 5 3 39 39 H 1.09006 * 109.54315 * 59.82055 * 8 5 3 40 40 H 1.08996 * 109.52583 * 303.05916 * 9 8 5 41 41 H 1.09001 * 109.52080 * 63.24578 * 9 8 5 42 42 H 1.08998 * 109.48315 * 297.62955 * 10 9 8 43 43 H 1.08997 * 109.48361 * 177.59170 * 10 9 8 44 44 H 1.09000 * 109.48228 * 301.17868 * 12 11 10 45 45 H 1.09003 * 109.48722 * 181.14561 * 12 11 10 46 46 H 1.08996 * 109.52366 * 182.48185 * 13 12 11 47 47 H 1.09003 * 109.51825 * 62.29619 * 13 12 11 48 48 H 1.09005 * 110.49783 * 36.44641 * 16 14 2 49 49 H 1.08995 * 110.34562 * 274.05546 * 16 14 2 50 50 H 0.97004 * 119.99434 * 180.02562 * 21 20 18 51 51 H 1.08998 * 109.88543 * 120.70501 * 26 17 16 52 52 H 1.09006 * 109.87919 * 241.71168 * 26 17 16 53 53 H 0.96703 * 114.00316 * 61.45838 * 29 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 7 1.4649 0.0000 0.0000 3 6 2.1389 1.1671 0.0000 4 8 1.5363 2.2153 0.0962 5 6 3.6411 1.1699 -0.1196 6 6 4.2518 0.4940 1.1096 7 6 4.0538 0.4062 -1.3796 8 6 4.1429 2.6125 -0.2104 9 6 3.5411 3.2875 -1.4467 10 6 4.1094 4.7034 -1.5730 11 8 5.5348 4.6378 -1.6508 12 6 6.1559 4.0590 -0.5013 13 6 5.6697 2.6172 -0.3320 14 6 2.1976 -1.2688 -0.0006 15 1 3.2736 -1.0962 -0.0237 16 6 1.7957 -2.1414 1.2175 17 7 2.0864 -3.5249 0.7993 18 6 2.3417 -4.5756 1.6395 19 1 2.3451 -4.4236 2.7087 20 6 2.5963 -5.8362 1.1169 21 7 2.5928 -6.0213 -0.1862 22 14 2.9440 -7.2696 2.2630 23 1 3.1815 -8.4974 1.4622 24 1 4.1477 -6.9700 3.0795 25 1 1.7785 -7.4813 3.1587 26 6 2.0505 -3.5910 -0.6690 27 6 1.7527 -2.1673 -1.1846 28 1 0.6880 -2.0440 -1.3836 29 8 2.5202 -1.8829 -2.3559 30 1 -0.3634 0.0897 1.0237 31 1 -0.3634 0.8416 -0.5896 32 1 -0.3634 -0.9316 -0.4341 33 1 3.9648 -0.5574 1.1262 34 1 5.3381 0.5733 1.0657 35 1 3.8878 0.9843 2.0124 36 1 3.6950 0.9380 -2.2607 37 1 5.1404 0.3300 -1.4186 38 1 3.6201 -0.5935 -1.3569 39 1 3.8467 3.1586 0.6853 40 1 3.7961 2.7119 -2.3365 41 1 2.4572 3.3380 -1.3428 42 1 3.8195 5.2905 -0.7015 43 1 3.7173 5.1734 -2.4749 44 1 5.8929 4.6376 0.3842 45 1 7.2382 4.0648 -0.6311 46 1 6.1082 2.1884 0.5690 47 1 5.9678 2.0281 -1.1993 48 1 0.7340 -2.0263 1.4358 49 1 2.3940 -1.8747 2.0886 50 1 2.7703 -6.9023 -0.5513 51 1 3.0149 -3.9286 -1.0486 52 1 1.2656 -4.2758 -0.9901 53 1 2.3321 -2.4693 -3.1014 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 ZINC001047451194.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 23:06:20 Heat of formation + Delta-G solvation = -80.413379 kcal Electronic energy + Delta-G solvation = -33166.780940 eV Core-core repulsion = 29040.331696 eV Total energy + Delta-G solvation = -4126.449244 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.93 seconds Orbital eigenvalues (eV) -41.09167 -39.21501 -38.04265 -36.06753 -35.28973 -34.76394 -31.85578 -31.72040 -31.16001 -28.59260 -27.50163 -27.35787 -26.71249 -25.32818 -24.47217 -23.64337 -22.26663 -20.72191 -20.50175 -19.63951 -18.82036 -17.21315 -16.80714 -16.39356 -16.18849 -16.01328 -15.71427 -15.24747 -15.05658 -14.70144 -14.46452 -14.42543 -14.10000 -13.78321 -13.41673 -13.27659 -13.19957 -12.89472 -12.57200 -12.53109 -12.27951 -12.09693 -12.09118 -11.90175 -11.73833 -11.47267 -11.40255 -11.35483 -11.04306 -10.96938 -10.90620 -10.84152 -10.66287 -10.55910 -10.24742 -10.14209 -9.94224 -9.76698 -9.58586 -9.39828 -9.16416 -8.79306 -8.37335 -7.02299 -5.85847 -3.21351 2.79126 3.14668 3.32962 3.37973 3.38567 3.82171 4.33861 4.40552 4.49939 4.58022 4.70178 4.90413 4.98938 5.04941 5.12490 5.18460 5.20955 5.25198 5.30337 5.39144 5.44869 5.46635 5.47917 5.61360 5.65193 5.68916 5.73006 5.74541 5.78191 5.80050 5.84325 5.88432 5.97849 5.98848 5.99640 6.05771 6.11663 6.21139 6.31519 6.37251 6.38320 6.54170 6.68076 6.76712 7.13559 7.24669 7.36500 7.57695 7.64688 8.05098 8.07134 8.34949 9.04696 9.64796 10.27044 11.25322 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018531 B = 0.003160 C = 0.003016 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1510.638064 B = 8859.420443 C = 9281.103171 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.085 3.915 2 N -0.596 5.596 3 C 0.530 3.470 4 O -0.548 6.548 5 C -0.074 4.074 6 C -0.161 4.161 7 C -0.172 4.172 8 C -0.059 4.059 9 C -0.160 4.160 10 C 0.064 3.936 11 O -0.387 6.387 12 C 0.063 3.937 13 C -0.156 4.156 14 C 0.102 3.898 15 H 0.138 0.862 16 C 0.128 3.872 17 N -0.598 5.598 18 C -0.234 4.234 19 H 0.080 0.920 20 C -0.004 4.004 21 N -0.922 5.922 22 Si 0.915 3.085 23 H -0.289 1.289 24 H -0.284 1.284 25 H -0.284 1.284 26 C 0.152 3.848 27 C 0.061 3.939 28 H 0.059 0.941 29 O -0.560 6.560 30 H 0.054 0.946 31 H 0.068 0.932 32 H 0.073 0.927 33 H 0.080 0.920 34 H 0.071 0.929 35 H 0.059 0.941 36 H 0.060 0.940 37 H 0.062 0.938 38 H 0.108 0.892 39 H 0.074 0.926 40 H 0.070 0.930 41 H 0.094 0.906 42 H 0.047 0.953 43 H 0.089 0.911 44 H 0.047 0.953 45 H 0.091 0.909 46 H 0.076 0.924 47 H 0.078 0.922 48 H 0.027 0.973 49 H 0.049 0.951 50 H 0.255 0.745 51 H 0.061 0.939 52 H 0.048 0.952 53 H 0.376 0.624 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.451 15.439 -2.814 15.884 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 -0.058 4.058 2 N -0.327 5.327 3 C 0.319 3.681 4 O -0.427 6.427 5 C -0.077 4.077 6 C -0.217 4.217 7 C -0.228 4.228 8 C -0.078 4.078 9 C -0.198 4.198 10 C -0.013 4.013 11 O -0.306 6.306 12 C -0.014 4.014 13 C -0.193 4.193 14 C -0.002 4.002 15 H 0.155 0.845 16 C 0.000 4.000 17 N -0.326 5.326 18 C -0.362 4.362 19 H 0.098 0.902 20 C -0.200 4.200 21 N -0.569 5.569 22 Si 0.745 3.255 23 H -0.215 1.215 24 H -0.210 1.210 25 H -0.211 1.211 26 C 0.026 3.974 27 C 0.001 3.999 28 H 0.076 0.924 29 O -0.366 6.366 30 H 0.072 0.928 31 H 0.087 0.913 32 H 0.091 0.909 33 H 0.098 0.902 34 H 0.090 0.910 35 H 0.078 0.922 36 H 0.079 0.921 37 H 0.081 0.919 38 H 0.126 0.874 39 H 0.092 0.908 40 H 0.089 0.911 41 H 0.112 0.888 42 H 0.066 0.934 43 H 0.108 0.892 44 H 0.065 0.935 45 H 0.109 0.891 46 H 0.094 0.906 47 H 0.096 0.904 48 H 0.045 0.955 49 H 0.067 0.933 50 H 0.065 0.935 51 H 0.079 0.921 52 H 0.066 0.934 53 H 0.224 0.776 Dipole moment (debyes) X Y Z Total from point charges 2.505 16.282 -2.566 16.672 hybrid contribution -0.397 -1.570 0.501 1.695 sum 2.108 14.713 -2.065 15.006 Atomic orbital electron populations 1.21593 0.79802 1.02572 1.01796 1.47722 1.06643 1.05932 1.72425 1.20514 0.89713 0.82852 0.75033 1.90588 1.70521 1.31135 1.50427 1.20731 0.91446 0.97219 0.98338 1.22294 1.01627 1.01787 0.96039 1.22584 1.02081 1.03041 0.95086 1.20903 0.94127 0.93740 0.99003 1.22484 1.02855 0.96202 0.98221 1.22571 0.80625 0.96458 1.01651 1.87898 1.19770 1.81921 1.41035 1.22550 0.97579 0.92769 0.88527 1.22401 0.95894 0.97783 1.03259 1.23360 0.99009 0.82169 0.95671 0.84493 1.21888 0.98152 0.85675 0.94245 1.44217 1.83434 1.03212 1.01750 1.19013 1.41778 0.86436 0.88938 0.90192 1.24806 1.01523 0.97591 0.96126 1.69908 1.55180 1.22188 1.09582 0.86162 0.78234 0.81667 0.79466 1.21522 1.21000 1.21092 1.21863 1.01865 0.89444 0.84229 1.23602 0.93734 0.97458 0.85144 0.92368 1.86351 1.66510 1.60201 1.23562 0.92751 0.91290 0.90867 0.90190 0.91043 0.92231 0.92139 0.91941 0.87429 0.90780 0.91123 0.88796 0.93438 0.89247 0.93487 0.89119 0.90576 0.90387 0.95529 0.93307 0.93515 0.92052 0.93400 0.77587 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 0.08 1.18 9.10 59.84 0.54 1.73 16 2 N -0.60 -9.13 2.90 -171.34 -0.50 -9.63 16 3 C 0.53 8.24 6.11 -10.99 -0.07 8.17 16 4 O -0.55 -9.53 13.60 5.55 0.08 -9.45 16 5 C -0.07 -0.99 0.30 -155.66 -0.05 -1.03 16 6 C -0.16 -2.03 7.94 37.16 0.29 -1.74 16 7 C -0.17 -2.31 7.35 37.16 0.27 -2.04 16 8 C -0.06 -0.72 1.26 -90.44 -0.11 -0.83 16 9 C -0.16 -2.00 4.78 -26.59 -0.13 -2.13 16 10 C 0.06 0.71 6.84 37.21 0.25 0.97 16 11 O -0.39 -4.71 10.77 -35.23 -0.38 -5.09 16 12 C 0.06 0.63 6.84 37.21 0.25 0.88 16 13 C -0.16 -1.62 4.70 -26.60 -0.13 -1.74 16 14 C 0.10 1.68 1.46 -65.66 -0.10 1.58 16 15 H 0.14 2.27 2.47 -51.93 -0.13 2.14 16 16 C 0.13 2.44 6.69 -2.41 -0.02 2.42 16 17 N -0.60 -14.02 3.39 -169.93 -0.58 -14.60 16 18 C -0.23 -6.10 10.28 -15.06 -0.15 -6.26 16 19 H 0.08 2.02 7.83 -52.49 -0.41 1.60 16 20 C 0.00 -0.10 5.49 -17.43 -0.10 -0.20 16 21 N -0.92 -25.34 10.31 55.49 0.57 -24.77 16 22 Si 0.91 21.05 29.55 -169.99 -5.02 16.03 16 23 H -0.29 -6.75 7.11 56.52 0.40 -6.34 16 24 H -0.28 -6.45 7.11 56.52 0.40 -6.04 16 25 H -0.28 -6.49 7.11 56.52 0.40 -6.09 16 26 C 0.15 3.31 5.14 -3.07 -0.02 3.30 16 27 C 0.06 1.03 3.85 -24.90 -0.10 0.94 16 28 H 0.06 0.95 6.13 -51.93 -0.32 0.63 16 29 O -0.56 -8.51 11.14 -35.23 -0.39 -8.90 16 30 H 0.05 0.73 8.14 -51.93 -0.42 0.31 16 31 H 0.07 0.94 7.66 -51.93 -0.40 0.54 16 32 H 0.07 0.97 6.13 -51.92 -0.32 0.66 16 33 H 0.08 1.14 4.48 -51.93 -0.23 0.91 16 34 H 0.07 0.78 6.26 -51.93 -0.32 0.45 16 35 H 0.06 0.74 8.14 -51.93 -0.42 0.31 16 36 H 0.06 0.83 6.10 -51.93 -0.32 0.51 16 37 H 0.06 0.77 6.65 -51.93 -0.35 0.42 16 38 H 0.11 1.64 2.01 -51.93 -0.10 1.53 16 39 H 0.07 0.97 8.05 -51.93 -0.42 0.55 16 40 H 0.07 0.90 6.17 -51.93 -0.32 0.58 16 41 H 0.09 1.34 5.82 -51.93 -0.30 1.04 16 42 H 0.05 0.51 8.14 -51.93 -0.42 0.09 16 43 H 0.09 0.89 8.14 -51.93 -0.42 0.46 16 44 H 0.05 0.44 8.14 -51.93 -0.42 0.01 16 45 H 0.09 0.76 8.14 -51.93 -0.42 0.34 16 46 H 0.08 0.70 6.51 -51.93 -0.34 0.36 16 47 H 0.08 0.85 6.40 -51.93 -0.33 0.51 16 48 H 0.03 0.51 7.22 -51.93 -0.38 0.14 16 49 H 0.05 0.92 7.81 -51.93 -0.41 0.51 16 50 H 0.25 6.87 8.31 -40.82 -0.34 6.53 16 51 H 0.06 1.50 7.30 -51.93 -0.38 1.12 16 52 H 0.05 1.16 7.50 -51.93 -0.39 0.77 16 53 H 0.38 4.49 9.11 45.56 0.42 4.90 16 LS Contribution 375.89 15.07 5.66 5.66 Total: -1.00 -29.95 375.89 -7.30 -37.26 By element: Atomic # 1 Polarization: 16.88 SS G_CDS: -7.41 Total: 9.47 kcal Atomic # 6 Polarization: 3.36 SS G_CDS: 0.67 Total: 4.02 kcal Atomic # 7 Polarization: -48.50 SS G_CDS: -0.50 Total: -49.00 kcal Atomic # 8 Polarization: -22.75 SS G_CDS: -0.70 Total: -23.44 kcal Atomic # 14 Polarization: 21.05 SS G_CDS: -5.02 Total: 16.03 kcal Total LS contribution 5.66 Total: 5.66 kcal Total: -29.95 -7.30 -37.26 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. ZINC001047451194.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 -43.156 kcal (2) G-P(sol) polarization free energy of solvation -29.954 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -73.110 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.303 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -37.257 kcal (6) G-S(sol) free energy of system = (1) + (5) -80.413 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.93 seconds