Wall clock time and date at job start Tue Mar 31 2020 21:33:17 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 H 1.08998 * 109.55504 * 2 1 4 4 C 1.53291 * 109.51189 * 239.87268 * 2 1 3 5 5 N 1.47176 * 108.52073 * 186.99510 * 4 2 1 6 6 C 1.34778 * 121.07479 * 231.28162 * 5 4 2 7 7 O 1.21284 * 119.99711 * 180.02562 * 6 5 4 8 8 C 1.50691 * 120.00180 * 0.02562 * 6 5 4 9 9 C 1.52997 * 109.47367 * 179.97438 * 8 6 5 10 10 C 1.53000 * 109.47708 * 179.97438 * 9 8 6 11 11 C 1.52997 * 109.47708 * 180.02562 * 10 9 8 12 12 C 1.53001 * 117.50358 * 243.75347 * 11 10 9 13 13 C 1.52998 * 117.50100 * 175.08894 * 11 10 9 14 14 C 1.47319 * 117.84588 * 51.30540 * 5 4 2 15 15 C 1.52356 * 108.46315 * 310.86087 * 14 5 4 16 16 C 1.54387 * 110.36608 * 173.35066 * 15 14 5 17 17 C 1.54458 * 102.87299 * 152.38830 * 16 15 14 18 18 N 1.47084 * 107.29923 * 338.50780 * 17 16 15 19 19 C 1.36938 * 125.63031 * 178.96488 * 18 17 16 20 20 H 1.07999 * 119.99998 * 180.02562 * 19 18 17 21 21 C 1.38811 * 120.00103 * 0.02975 * 19 18 17 22 22 N 1.31625 * 120.00072 * 359.97438 * 21 19 18 23 23 Si 1.86801 * 119.99955 * 180.02562 * 21 19 18 24 24 H 1.48503 * 109.47404 * 59.99783 * 23 21 19 25 25 H 1.48499 * 109.46824 * 179.97438 * 23 21 19 26 26 H 1.48499 * 109.47049 * 299.99586 * 23 21 19 27 27 C 1.47578 * 108.73803 * 359.01326 * 18 17 16 28 28 O 1.41879 * 111.48014 * 49.87903 * 15 14 5 29 29 H 1.09003 * 109.47004 * 180.13045 * 1 2 3 30 30 H 1.09002 * 109.46745 * 300.12154 * 1 2 3 31 31 H 1.08991 * 109.47358 * 60.12718 * 1 2 3 32 32 H 1.08998 * 109.62621 * 67.28439 * 4 2 1 33 33 H 1.09001 * 109.62799 * 306.70510 * 4 2 1 34 34 H 1.09004 * 109.47501 * 300.00107 * 8 6 5 35 35 H 1.09003 * 109.47212 * 59.99778 * 8 6 5 36 36 H 1.08997 * 109.47399 * 300.00556 * 9 8 6 37 37 H 1.09003 * 109.47020 * 59.99802 * 9 8 6 38 38 H 1.08997 * 109.47267 * 300.00786 * 10 9 8 39 39 H 1.09009 * 109.46498 * 59.99964 * 10 9 8 40 40 H 1.09003 * 115.54574 * 29.42005 * 11 10 9 41 41 H 1.09003 * 117.49512 * 359.97438 * 12 11 10 42 42 H 1.08990 * 117.50253 * 145.01300 * 12 11 10 43 43 H 1.09003 * 117.49934 * 214.98080 * 13 11 10 44 44 H 1.08994 * 117.50084 * 359.97438 * 13 11 10 45 45 H 1.09007 * 109.63572 * 70.55029 * 14 5 4 46 46 H 1.08992 * 109.64028 * 190.95962 * 14 5 4 47 47 H 1.08998 * 110.73260 * 270.73188 * 16 15 14 48 48 H 1.09003 * 110.72767 * 33.86375 * 16 15 14 49 49 H 1.08998 * 109.88006 * 97.93454 * 17 16 15 50 50 H 1.09004 * 109.87721 * 218.93232 * 17 16 15 51 51 H 0.96992 * 120.00085 * 180.02562 * 22 21 19 52 52 H 1.09000 * 110.37319 * 264.48440 * 27 18 17 53 53 H 1.08997 * 110.37481 * 142.14019 * 27 18 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 6 1.5300 0.0000 0.0000 3 1 1.8948 1.0271 0.0000 4 6 2.0420 -0.7252 -1.2497 5 7 3.5037 -0.8612 -1.1454 6 6 4.3122 -0.4718 -2.1510 7 8 5.5142 -0.5932 -2.0444 8 6 3.7226 0.1145 -3.4078 9 6 4.8480 0.4707 -4.3811 10 6 4.2494 1.0653 -5.6575 11 6 5.3748 1.4210 -6.6311 12 6 5.5583 2.8969 -6.9902 13 6 4.9751 1.9252 -8.0192 14 6 4.0546 -1.4372 0.0936 15 6 3.4215 -0.7226 1.2810 16 6 3.8409 -1.4015 2.6026 17 6 3.7625 -0.2451 3.6235 18 7 3.8527 1.0130 2.8671 19 6 3.8012 2.2719 3.4036 20 1 3.8763 3.1364 2.7606 21 6 3.6526 2.4369 4.7738 22 7 3.5607 1.3833 5.5574 23 14 3.5816 4.1541 5.5055 24 1 2.4287 4.8909 4.9284 25 1 3.4198 4.0581 6.9786 26 1 4.8394 4.8784 5.1914 27 6 4.0067 0.6947 1.4343 28 8 2.0081 -0.6771 1.1666 29 1 -0.3633 -1.0277 0.0023 30 1 -0.3633 0.5157 0.8889 31 1 -0.3633 0.5118 -0.8910 32 1 1.7906 -0.1458 -2.1380 33 1 1.5859 -1.7132 -1.3123 34 1 3.0578 -0.6143 -3.8716 35 1 3.1591 1.0139 -3.1596 36 1 5.5125 1.1996 -3.9172 37 1 5.4119 -0.4285 -4.6294 38 1 3.5852 0.3361 -6.1212 39 1 3.6853 1.9645 -5.4094 40 1 6.2715 0.8056 -6.5580 41 1 4.8769 3.6145 -6.5331 42 1 6.5755 3.2524 -7.1537 43 1 5.6090 1.6418 -8.8594 44 1 3.9104 2.0031 -8.2390 45 1 3.8203 -2.5008 0.1388 46 1 5.1355 -1.2990 0.1129 47 1 3.1436 -2.1968 2.8661 48 1 4.8572 -1.7891 2.5317 49 1 2.8146 -0.2879 4.1599 50 1 4.5907 -0.3165 4.3287 51 1 3.4564 1.4985 6.5148 52 1 5.0603 0.7025 1.1550 53 1 3.4466 1.4045 0.8255 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 ZINC001131674160.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 21:33:17 Heat of formation + Delta-G solvation = -33.518198 kcal Electronic energy + Delta-G solvation = -30567.050544 eV Core-core repulsion = 26633.090879 eV Total energy + Delta-G solvation = -3933.959665 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.17 seconds Orbital eigenvalues (eV) -40.59554 -38.89163 -37.91285 -36.32427 -34.56853 -34.05174 -33.08107 -31.29957 -29.61123 -28.91798 -27.68712 -26.47689 -25.50122 -23.85716 -22.70170 -22.16675 -21.85655 -20.73826 -20.15690 -19.55821 -18.74262 -17.21444 -16.95606 -16.51207 -16.15350 -15.93642 -15.54396 -14.89916 -14.68225 -14.51436 -14.48585 -14.14194 -13.82901 -13.50238 -13.42861 -13.09142 -12.72179 -12.40488 -12.37277 -12.25480 -12.07278 -11.95202 -11.88875 -11.82490 -11.70462 -11.50273 -11.26156 -11.04368 -11.01696 -10.84732 -10.83280 -10.49641 -10.40636 -10.20648 -10.14729 -10.11458 -10.08587 -9.65503 -9.60761 -9.50241 -8.54777 -8.32487 -6.77574 -5.66737 -2.99515 2.64036 2.89962 3.42773 3.46675 3.48173 3.50164 3.89001 4.23580 4.45537 4.52182 4.62435 4.65955 4.70954 4.81145 4.87780 4.93527 5.03722 5.08983 5.16158 5.22593 5.30433 5.33251 5.39496 5.42522 5.48449 5.51011 5.52654 5.56925 5.62703 5.63311 5.66758 5.73745 5.80868 5.89597 5.92252 5.93694 6.03844 6.07211 6.17492 6.20868 6.21248 6.35271 6.44979 6.51556 6.63655 6.68948 7.37985 7.57425 7.66282 7.73198 7.87334 8.17653 8.30082 9.26093 9.85927 10.52331 11.45083 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.012404 B = 0.002787 C = 0.002550 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2256.842060 B =10044.053450 C =10979.491141 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.140 4.140 2 C 0.069 3.931 3 H 0.068 0.932 4 C 0.079 3.921 5 N -0.614 5.614 6 C 0.515 3.485 7 O -0.540 6.540 8 C -0.140 4.140 9 C -0.101 4.101 10 C -0.089 4.089 11 C -0.151 4.151 12 C -0.181 4.181 13 C -0.184 4.184 14 C 0.097 3.903 15 C 0.092 3.908 16 C -0.130 4.130 17 C 0.183 3.817 18 N -0.599 5.599 19 C -0.226 4.226 20 H 0.074 0.926 21 C -0.008 4.008 22 N -0.921 5.921 23 Si 0.912 3.088 24 H -0.286 1.286 25 H -0.290 1.290 26 H -0.285 1.285 27 C 0.122 3.878 28 O -0.347 6.347 29 H 0.062 0.938 30 H 0.071 0.929 31 H 0.068 0.932 32 H 0.090 0.910 33 H 0.076 0.924 34 H 0.091 0.909 35 H 0.093 0.907 36 H 0.072 0.928 37 H 0.070 0.930 38 H 0.065 0.935 39 H 0.064 0.936 40 H 0.105 0.895 41 H 0.094 0.906 42 H 0.092 0.908 43 H 0.091 0.909 44 H 0.093 0.907 45 H 0.070 0.930 46 H 0.101 0.899 47 H 0.072 0.928 48 H 0.072 0.928 49 H 0.050 0.950 50 H 0.043 0.957 51 H 0.252 0.748 52 H 0.025 0.975 53 H 0.038 0.962 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.818 -4.959 -22.855 23.696 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 -0.198 4.198 2 C 0.011 3.989 3 H 0.086 0.914 4 C -0.044 4.044 5 N -0.348 5.348 6 C 0.304 3.696 7 O -0.416 6.416 8 C -0.179 4.179 9 C -0.139 4.139 10 C -0.127 4.127 11 C -0.170 4.170 12 C -0.218 4.218 13 C -0.221 4.221 14 C -0.025 4.025 15 C 0.051 3.949 16 C -0.169 4.169 17 C 0.059 3.941 18 N -0.325 5.325 19 C -0.354 4.354 20 H 0.092 0.908 21 C -0.204 4.204 22 N -0.569 5.569 23 Si 0.742 3.258 24 H -0.213 1.213 25 H -0.216 1.216 26 H -0.212 1.212 27 C -0.005 4.005 28 O -0.265 6.265 29 H 0.081 0.919 30 H 0.090 0.910 31 H 0.087 0.913 32 H 0.108 0.892 33 H 0.094 0.906 34 H 0.109 0.891 35 H 0.111 0.889 36 H 0.091 0.909 37 H 0.088 0.912 38 H 0.084 0.916 39 H 0.083 0.917 40 H 0.123 0.877 41 H 0.112 0.888 42 H 0.110 0.890 43 H 0.110 0.890 44 H 0.111 0.889 45 H 0.088 0.912 46 H 0.119 0.881 47 H 0.091 0.909 48 H 0.091 0.909 49 H 0.068 0.932 50 H 0.062 0.938 51 H 0.063 0.937 52 H 0.042 0.958 53 H 0.056 0.944 Dipole moment (debyes) X Y Z Total from point charges -3.308 -5.007 -22.433 23.222 hybrid contribution 0.017 1.042 0.259 1.074 sum -3.291 -3.965 -22.174 22.765 Atomic orbital electron populations 1.21683 0.92514 1.02795 1.02803 1.22440 0.95249 0.96278 0.84959 0.91435 1.22536 0.80174 1.01855 0.99877 1.48246 1.06781 1.62776 1.16986 1.20691 0.86782 0.77608 0.84555 1.90697 1.14681 1.55294 1.80978 1.21710 1.00180 1.02130 0.93923 1.21322 0.96927 1.01884 0.93761 1.21204 0.96303 1.00786 0.94362 1.22348 1.00950 0.97200 0.96454 1.23052 1.02259 0.92804 1.03725 1.22974 1.01481 1.04816 0.92867 1.22161 1.00663 0.97093 0.82609 1.22324 0.81258 0.97037 0.94288 1.22849 1.00144 0.99934 0.93928 1.21143 1.01187 0.81276 0.90531 1.44411 1.85996 1.02513 0.99587 1.18963 1.43179 0.82559 0.90742 0.90776 1.24779 1.02245 0.97347 0.96003 1.69947 1.56384 1.26964 1.03581 0.86207 0.77842 0.83641 0.78109 1.21251 1.21574 1.21217 1.21916 0.97057 0.93021 0.88500 1.87839 1.20113 1.76554 1.42030 0.91878 0.91025 0.91308 0.89164 0.90604 0.89056 0.88918 0.90899 0.91158 0.91591 0.91725 0.87721 0.88756 0.88957 0.89011 0.88894 0.91151 0.88064 0.90908 0.90903 0.93193 0.93840 0.93728 0.95759 0.94424 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 -0.14 -1.57 9.57 37.16 0.36 -1.21 16 2 C 0.07 0.97 3.20 -26.58 -0.09 0.89 16 3 H 0.07 1.07 6.27 -51.93 -0.33 0.74 16 4 C 0.08 0.87 5.81 -3.52 -0.02 0.85 16 5 N -0.61 -8.43 2.96 -172.70 -0.51 -8.94 16 6 C 0.51 7.16 7.71 -10.99 -0.08 7.07 16 7 O -0.54 -9.51 15.47 5.55 0.09 -9.43 16 8 C -0.14 -1.32 4.07 -27.89 -0.11 -1.43 16 9 C -0.10 -0.97 4.46 -26.73 -0.12 -1.09 16 10 C -0.09 -0.67 5.49 -26.73 -0.15 -0.82 16 11 C -0.15 -1.19 5.73 -90.62 -0.52 -1.71 16 12 C -0.18 -1.36 10.18 -26.69 -0.27 -1.63 16 13 C -0.18 -1.27 10.25 -26.69 -0.27 -1.54 16 14 C 0.10 1.52 5.29 -3.92 -0.02 1.50 16 15 C 0.09 1.70 0.83 -89.65 -0.07 1.62 16 16 C -0.13 -2.50 6.12 -25.24 -0.15 -2.66 16 17 C 0.18 4.59 5.38 -2.96 -0.02 4.57 16 18 N -0.60 -15.85 3.40 -170.32 -0.58 -16.43 16 19 C -0.23 -6.49 10.28 -15.06 -0.15 -6.64 16 20 H 0.07 2.06 7.83 -52.49 -0.41 1.65 16 21 C -0.01 -0.22 5.49 -17.43 -0.10 -0.31 16 22 N -0.92 -27.54 10.31 55.49 0.57 -26.97 16 23 Si 0.91 22.54 29.55 -169.99 -5.02 17.52 16 24 H -0.29 -6.95 7.11 56.52 0.40 -6.54 16 25 H -0.29 -7.19 7.11 56.52 0.40 -6.79 16 26 H -0.29 -6.97 7.11 56.52 0.40 -6.57 16 27 C 0.12 2.67 6.19 -2.88 -0.02 2.66 16 28 O -0.35 -6.28 9.92 -35.22 -0.35 -6.63 16 29 H 0.06 0.65 8.14 -51.93 -0.42 0.22 16 30 H 0.07 0.93 8.14 -51.93 -0.42 0.51 16 31 H 0.07 0.57 8.14 -51.93 -0.42 0.14 16 32 H 0.09 0.72 6.05 -51.93 -0.31 0.40 16 33 H 0.08 0.75 8.14 -51.93 -0.42 0.33 16 34 H 0.09 0.66 8.01 -51.93 -0.42 0.24 16 35 H 0.09 0.77 7.67 -51.93 -0.40 0.37 16 36 H 0.07 0.83 8.10 -51.93 -0.42 0.41 16 37 H 0.07 0.73 8.10 -51.93 -0.42 0.31 16 38 H 0.07 0.44 8.14 -51.93 -0.42 0.01 16 39 H 0.06 0.47 7.88 -51.92 -0.41 0.06 16 40 H 0.10 0.85 8.08 -51.93 -0.42 0.43 16 41 H 0.09 0.69 8.03 -51.93 -0.42 0.27 16 42 H 0.09 0.66 8.14 -51.93 -0.42 0.23 16 43 H 0.09 0.57 8.14 -51.93 -0.42 0.15 16 44 H 0.09 0.58 8.14 -51.93 -0.42 0.16 16 45 H 0.07 0.99 8.14 -51.93 -0.42 0.57 16 46 H 0.10 1.72 6.85 -51.93 -0.36 1.37 16 47 H 0.07 1.29 8.14 -51.93 -0.42 0.87 16 48 H 0.07 1.27 7.99 -51.93 -0.42 0.86 16 49 H 0.05 1.39 7.38 -51.93 -0.38 1.01 16 50 H 0.04 1.19 7.50 -51.93 -0.39 0.80 16 51 H 0.25 7.33 8.31 -40.82 -0.34 6.99 16 52 H 0.02 0.56 7.82 -51.93 -0.41 0.16 16 53 H 0.04 0.83 6.11 -51.93 -0.32 0.51 16 LS Contribution 408.42 15.07 6.15 6.15 Total: -1.00 -33.70 408.42 -11.05 -44.75 By element: Atomic # 1 Polarization: 9.44 SS G_CDS: -9.58 Total: -0.14 kcal Atomic # 6 Polarization: 1.92 SS G_CDS: -1.81 Total: 0.11 kcal Atomic # 7 Polarization: -51.82 SS G_CDS: -0.52 Total: -52.34 kcal Atomic # 8 Polarization: -15.79 SS G_CDS: -0.26 Total: -16.06 kcal Atomic # 14 Polarization: 22.54 SS G_CDS: -5.02 Total: 17.52 kcal Total LS contribution 6.15 Total: 6.15 kcal Total: -33.70 -11.05 -44.75 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. ZINC001131674160.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 11.230 kcal (2) G-P(sol) polarization free energy of solvation -33.702 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -22.473 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.046 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.748 kcal (6) G-S(sol) free energy of system = (1) + (5) -33.518 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.17 seconds